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Journal articles on the topic 'Stochastic gravity'

Author: Grafiati

Published: 1 April 2023

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1

Moffat, J. W. "Stochastic gravity." Physical Review D 56, no. 10 (1997): 6264–77. http://dx.doi.org/10.1103/physrevd.56.6264.

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2

Ross, D. K., and William Moreau. "Stochastic gravity." General Relativity and Gravitation 27, no. 8 (1995): 845–58. http://dx.doi.org/10.1007/bf02113067.

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3

Verdaguer, E. "Stochastic gravity: beyond semiclassical gravity." Journal of Physics: Conference Series 66 (May 1, 2007): 012006. http://dx.doi.org/10.1088/1742-6596/66/1/012006.

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4

Erlich, Joshua. "Stochastic emergent quantum gravity." Classical and Quantum Gravity 35, no. 24 (2018): 245005. http://dx.doi.org/10.1088/1361-6382/aaeb55.

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5

Rumpf, Helmut. "Stochastic Quantum Gravity inDDimensions." Progress of Theoretical Physics Supplement 111 (1993): 63–81. http://dx.doi.org/10.1143/ptps.111.63.

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6

Baulieu, L. "Stochastic equations for gravity." Physics Letters B 175, no. 2 (1986): 133–37. http://dx.doi.org/10.1016/0370-2693(86)90702-1.

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7

Rumpf, Helmut. "Stochastic quantization of Einstein gravity." Physical Review D 33, no. 4 (1986): 942–52. http://dx.doi.org/10.1103/physrevd.33.942.

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8

Salopek, D. S., and J. R. Bond. "Stochastic inflation and nonlinear gravity." Physical Review D 43, no. 4 (1991): 1005–31. http://dx.doi.org/10.1103/physrevd.43.1005.

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9

Wang, Ya Jun, and Wo Hua Zhang. "Super Gravity Dam Generalized Damage Study." Advanced Materials Research 479-481 (February 2012): 421–25. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.421.

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Fuzzy sub-space, with analysis on generalized uncertainty of damage, is setup in this paper when topological consistency of damage fuzzy and randomness on [0,1] scale being demonstrated deeply. Furthermore, deduced under fuzzy characteristics translation are three fuzzy analytical models of damage functional, namely, half depressed distribution, swing distribution, combined swing distribution, by which, fuzzy extension territory on damage evolution is formulated here. With the representation of damage variable ß probabilistic distribution as well as formulation on stochastic sub-space of damag

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10

Shushi, Tomer. "Randomness in modified general relativity theory: The stochastic f(R) gravity model." Canadian Journal of Physics 96, no. 11 (2018): 1173–77. http://dx.doi.org/10.1139/cjp-2017-0938.

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We consider a stochastic modification of the f(R) gravity models, and provide its important properties, including the gravity field equations for the model. We show a prediction in which particles are localized by a system of random gravitational potentials. As an important special case, we investigate a gravity model in the presence of a small stochastic space–time perturbation and provide its gravity field equations. Using the proposed model we examine the stochastic quantum mechanics interpretation, and obtain a novel Schrödinger equation with gravitational potential that is based on diffus

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11

Baulieu, Laurent, Luca Ciambelli, and Siye Wu. "Weyl symmetry in stochastic quantum gravity." Classical and Quantum Gravity 37, no. 4 (2020): 045011. http://dx.doi.org/10.1088/1361-6382/ab6392.

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12

Hu, B. L., and E. Verdaguer. "Stochastic gravity: a primer with applications." Classical and Quantum Gravity 20, no. 6 (2003): R1—R42. http://dx.doi.org/10.1088/0264-9381/20/6/201.

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13

Mattingly, James. "Emergence of spacetime in stochastic gravity." Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44, no. 3 (2013): 329–37. http://dx.doi.org/10.1016/j.shpsb.2013.04.001.

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14

Prugovečki, Eduard. "Geometro-stochastic quantization of gravity. I." Foundations of Physics Letters 2, no. 1 (1989): 81–104. http://dx.doi.org/10.1007/bf00690081.

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15

Prugovečki, E. "Generally covariant geometro-stochastic quantum gravity." Il Nuovo Cimento A 102, no. 3 (1989): 881–923. http://dx.doi.org/10.1007/bf02730756.

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16

Prugovečki, Eduard. "Geometro-stochastic quantization of gravity. II." Foundations of Physics Letters 2, no. 2 (1989): 163–90. http://dx.doi.org/10.1007/bf00696111.

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17

NAKAZAWA, NAOHITO. "ON THE LANGEVIN EQUATION FOR STOCHASTIC QUANTIZATION OF GRAVITY." Modern Physics Letters A 05, no. 29 (1990): 2407–12. http://dx.doi.org/10.1142/s0217732390002778.

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We study the Langevin equation for stochastic quantization of gravity. By introducing two independent variables with a second-class constraint for the gravitational field, we formulate a pair of Langevin equations for gravity which couples with white noises. After eliminating the multiplier field for the second-class constraint, we show that the equations lead to stochastic quantization of gravity including a unique superspace metric.

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18

Mathis, S., and C. Neiner. "Stochastic excitation of gravity waves in rapidly rotating massive stars." Proceedings of the International Astronomical Union 9, S307 (2014): 220–21. http://dx.doi.org/10.1017/s1743921314006784.

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AbstractStochastic gravity waves have been recently detected and characterised in stars thanks to space asteroseismology and they may play an important role in the evolution of stellar angular momentum. In this context, the observational study of the CoRoT hot Be star HD 51452 suggests a potentially strong impact of rotation on stochastic excitation of gravito-inertial waves in rapidly rotating stars. In this work, we present our results on the action of the Coriolis acceleration on stochastic wave excitation by turbulent convection. We study the change of efficiency of this mechanism as a fun

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19

Baulieu, Laurent, Adel Bilal, and Marco Picco. "Stochastic quantization of 2D gravity and its link with 3D gravity and topological 4D gravity." Nuclear Physics B 346, no. 2-3 (1990): 507–26. http://dx.doi.org/10.1016/0550-3213(90)90290-t.

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20

Calcagni, Gianluca, and Sachiko Kuroyanagi. "Stochastic gravitational-wave background in quantum gravity." Journal of Cosmology and Astroparticle Physics 2021, no. 03 (2021): 019. http://dx.doi.org/10.1088/1475-7516/2021/03/019.

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21

Nakazawa, N. "BRS Symmetry in Stochastic Quantization of Gravity." Progress of Theoretical Physics 86, no. 5 (1991): 1053–75. http://dx.doi.org/10.1143/ptp/86.5.1053.

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22

Khalatnikov, Isaak M., and A. Yu Kamenshchik. "Stochastic cosmology, perturbation theories and Lifshitz gravity." Uspekhi Fizicheskih Nauk 185, no. 9 (2015): 948–63. http://dx.doi.org/10.3367/ufnr.0185.201509f.0948.

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23

Potapov, Alex, Jim R. Muirhead, Subhash R. Lele, and Mark A. Lewis. "Stochastic gravity models for modeling lake invasions." Ecological Modelling 222, no. 4 (2011): 964–72. http://dx.doi.org/10.1016/j.ecolmodel.2010.07.024.

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24

BORGMAN, J., and L. H. FORD. "STOCHASTIC GRAVITY AND THE LANGEVIN-RAYCHAUDHURI EQUATION." International Journal of Modern Physics A 20, no. 11 (2005): 2364–73. http://dx.doi.org/10.1142/s0217751x05024638.

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We treat the gravitational effects of quantum stress tensor fluctuations. An operational approach is adopted in which these fluctuations produce fluctuations in the focusing of a bundle of geodesics. This can be calculated explicitly using the Raychaudhuri equation as a Langevin equation. The physical manifestation of these fluctuations are angular blurring and luminosity fluctuations of the images of distant sources.

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25

Souprayen, Claude, Jacques Vanneste, Albert Hertzog, and Alain Hauchecorne. "Atmospheric gravity wave spectra: A stochastic approach." Journal of Geophysical Research: Atmospheres 106, no. D20 (2001): 24071–86. http://dx.doi.org/10.1029/2001jd900043.

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26

Khalatnikov, I. M., and A. Yu Kamenshchik. "Stochastic cosmology, perturbation theories, and Lifshitz gravity." Physics-Uspekhi 58, no. 9 (2015): 878–91. http://dx.doi.org/10.3367/ufne.0185.201509f.0948.

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27

Tang, Wenbo, Jesse E. Taylor, and Alex Mahalov. "Lagrangian dynamics in stochastic inertia-gravity waves." Physics of Fluids 22, no. 12 (2010): 126601. http://dx.doi.org/10.1063/1.3518137.

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28

MILLET, Christophe, Bruno RIBSTEIN, and Francois LOTT. "Infrasound scattering from stochastic gravity wave packets." Journal of the Acoustical Society of America 141, no. 5 (2017): 3628. http://dx.doi.org/10.1121/1.4987800.

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29

Shamsipour, Pejman, Denis Marcotte, Michel Chouteau, Martine Rivest, and Abderrezak Bouchedda. "3D stochastic gravity inversion using nonstationary covariances." GEOPHYSICS 78, no. 2 (2013): G15—G24. http://dx.doi.org/10.1190/geo2012-0122.1.

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The flexibility of geostatistical inversions in geophysics is limited by the use of stationary covariances, which, implicitly and mostly for mathematical convenience, assumes statistical homogeneity of the studied field. For fields showing sharp contrasts due, for example, to faults or folds, an approach based on the use of nonstationary covariances for cokriging inversion was developed. The approach was tested on two synthetic cases and one real data set. Inversion results based on the nonstationary covariance were compared to the results from the stationary covariance for two synthetic model

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30

Yawn, Kenneth R., Bruce N. Miller, and Willard Maier. "Stochastic dynamics of gravity in one dimension." Physical Review E 52, no. 4 (1995): 3390–401. http://dx.doi.org/10.1103/physreve.52.3390.

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31

Eckermann, Stephen D. "Explicitly Stochastic Parameterization of Nonorographic Gravity Wave Drag." Journal of the Atmospheric Sciences 68, no. 8 (2011): 1749–65. http://dx.doi.org/10.1175/2011jas3684.1.

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Abstract A straightforward methodology is presented for converting the deterministic multiwave parameterizations of nonorographic gravity wave drag, currently used in general circulation models (GCMs), to stochastic analogs that use fewer waves (in the example herein, a single wave) within each grid box. Deterministic discretizations of source-level momentum flux spectra using a fixed spectrum of many waves with predefined phase speeds are replaced by sampling these source spectra stochastically using waves with randomly assigned phase speeds. Using simple conversion formulas, it is shown that

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32

El-Nabulsi, Rami Ahmad, and Waranont Anukool. "Oscillating gravity, non-singularity and mass quantization from Moffat stochastic gravity arguments." Communications in Theoretical Physics 74, no. 10 (2022): 105405. http://dx.doi.org/10.1088/1572-9494/ac841f.

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Abstract In Moffat stochastic gravity arguments, the spacetime geometry is assumed to be a fluctuating background and the gravitational constant is a control parameter due to the presence of a time-dependent Gaussian white noise ξ ( t ) . In such a surrounding, both the singularities of gravitational collapse and the Big Bang have a zero probability of occurring. In this communication, we generalize Moffat’s arguments by adding a random temporal tiny variable for a smoothing purpose and creating a white Gaussian noise process with a short correlation time. The Universe accordingly is found to

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33

Kwon, Jay Hyoun, and Christopher Jekeli. "The effect of stochastic gravity models in airborne vector gravimetry." GEOPHYSICS 67, no. 3 (2002): 770–76. http://dx.doi.org/10.1190/1.1484520.

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Measurements of specific force using inertial measurement units (IMU) combined with Global Positioning System (GPS) accelerometry can be used on an airborne platform to determine the total gravitational vector. Traditional methods, originating with inertial surveying systems and based on Kalman filtering, rely on choosing an appropriate stochastic model for the gravity disturbance components included in the set of system error states. An alternative procedure that uses no a priori stochastic model has proven to be as effective, or moreso, in extracting the gravity vector from airborne IMU/GPS

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34

Lasser, Martin, Ulrich Meyer, Daniel Arnold, and Adrian Jäggi. "Stochastic noise modelling of kinematic orbit positions in the Celestial Mechanics Approach." Advances in Geosciences 50 (October 20, 2020): 101–13. http://dx.doi.org/10.5194/adgeo-50-101-2020.

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Abstract. Gravity field models may be derived from kinematic orbit positions of Low Earth Orbiting satellites equipped with onboard GPS (Global Positioning System) receivers. An accurate description of the stochastic behaviour of the kinematic positions plays a key role to calculate high quality gravity field solutions. In the Celestial Mechanics Approach (CMA) kinematic positions are used as pseudo-observations to estimate orbit parameters and gravity field coefficients simultaneously. So far, a simplified stochastic model based on epoch-wise covariance information, which may be efficiently d

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35

Cremaschini, Claudio, and Massimo Tessarotto. "Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon." Entropy 22, no. 6 (2020): 696. http://dx.doi.org/10.3390/e22060696.

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The stochastic character of the cosmological constant arising from the non-linear quantum-vacuum Bohm interaction in the framework of the manifestly-covariant theory of quantum gravity (CQG theory) is pointed out. This feature is shown to be consistent with the axiomatic formulation of quantum gravity based on the hydrodynamic representation of the same CQG theory developed recently. The conclusion follows by investigating the indeterminacy properties of the probability density function and its representation associated with the quantum gravity state, which corresponds to a hydrodynamic contin

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36

Shamsipour, Pejman, Denis Marcotte, Michel Chouteau, and Pierre Keating. "3D stochastic inversion of gravity data using cokriging and cosimulation." GEOPHYSICS 75, no. 1 (2010): I1—I10. http://dx.doi.org/10.1190/1.3295745.

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A new application has been developed, based on geostatistical techniques of cokriging and conditional simulation, for the 3D inversion of gravity data including geologic constraints. The necessary gravity, density, and gravity-density covariance matrices are estimated using the observed gravity data. Then the densities are cokriged or simulated using the gravity data as the secondary variable. The model allows noise to be included in the observations. The method is applied to two synthetic models: a short dipping dike and a stochastic distribution of densities. Then some geologic information i

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37

CAPOZZIELLO, SALVATORE, CHRISTIAN CORDA, and MARIAFELICIA DE LAURENTIS. "STOCHASTIC BACKGROUND OF GRAVITATIONAL WAVES "TUNED" BY f(R) GRAVITY." Modern Physics Letters A 22, no. 15 (2007): 1097–104. http://dx.doi.org/10.1142/s0217732307023444.

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We show that the stochastic background of gravitational waves, produced in the early cosmological epochs, depends strictly on the assumed theory of gravity. In particular, the specific form of the function f(R), where R is the Ricci scalar, is related to the evolution and the production mechanism of gravitational waves. On the other hand, detecting the stochastic background by the forthcoming interferometric experiments (VIRGO, LIGO, LISA) could be a further tool to select the effective theory of gravity.

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38

Irhami, Milda. "Stochastic Gravity Model and Trade Efficiency for lndonesia." Economics and Finance in Indonesia 55, no. 2 (2015): 177. http://dx.doi.org/10.7454/efi.v55i2.115.

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39

Sakamoto, J. "Generally Covariant Formulation in Stochastic Quantization of Gravity." Progress of Theoretical Physics 74, no. 4 (1985): 842–51. http://dx.doi.org/10.1143/ptp.74.842.

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40

DIEGO, OSCAR. "NONPERTURBATIVE STOCHASTIC DEFINITIONS OF 2-D QUANTUM GRAVITY." Modern Physics Letters A 09, no. 26 (1994): 2445–59. http://dx.doi.org/10.1142/s021773239400232x.

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I construct the ground state, up to first nonperturbative order, of the stochastic stabilization of the zero-dimensional matrix model which defines 2-D quantum gravity. It is given by the linear combination of a perturbative wave function and a nonperturbative one. The nonperturbative behavior which arise from the stabilized model and from the string equation are similar. I show the modification of the loop equation by nonperturbative contribution.

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41

Greensite, J. "Stabilized quantum gravity stochastic interpretation and numerical simulation." Nuclear Physics B 390, no. 2 (1993): 439–60. http://dx.doi.org/10.1016/0550-3213(93)90463-y.

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42

Chen, Gang. "Stochastic modeling of rock fragment flow under gravity." International Journal of Rock Mechanics and Mining Sciences 34, no. 2 (1997): 323–31. http://dx.doi.org/10.1016/s0148-9062(96)00051-4.

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43

Allen, B. "Stochastic gravity-wave background in inflationary-universe models." Physical Review D 37, no. 8 (1988): 2078–85. http://dx.doi.org/10.1103/physrevd.37.2078.

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44

Williams, P. D., T. W. N. Haine, and P. L. Read. "Stochastic resonance in a nonlinear model of a rotating, stratified shear flow, with a simple stochastic inertia-gravity wave parameterization." Nonlinear Processes in Geophysics 11, no. 1 (2004): 127–35. http://dx.doi.org/10.5194/npg-11-127-2004.

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Abstract. We report on a numerical study of the impact of short, fast inertia-gravity waves on the large-scale, slowly-evolving flow with which they co-exist. A nonlinear quasi-geostrophic numerical model of a stratified shear flow is used to simulate, at reasonably high resolution, the evolution of a large-scale mode which grows due to baroclinic instability and equilibrates at finite amplitude. Ageostrophic inertia-gravity modes are filtered out of the model by construction, but their effects on the balanced flow are incorporated using a simple stochastic parameterization of the potential vo

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45

Mathis, S., C. Neiner, and N. Tran Minh. "Impact of rotation on stochastic excitation of gravity and gravito-inertial waves in stars." Astronomy & Astrophysics 565 (May 2014): A47. http://dx.doi.org/10.1051/0004-6361/201321830.

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46

Cremaschini, Claudio, and Massimo Tessarotto. "Physical Properties of Schwarzschild–deSitter Event Horizon Induced by Stochastic Quantum Gravity." Entropy 23, no. 5 (2021): 511. http://dx.doi.org/10.3390/e23050511.

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A new type of quantum correction to the structure of classical black holes is investigated. This concerns the physics of event horizons induced by the occurrence of stochastic quantum gravitational fields. The theoretical framework is provided by the theory of manifestly covariant quantum gravity and the related prediction of an exclusively quantum-produced stochastic cosmological constant. The specific example case of the Schwarzschild–deSitter geometry is looked at, analyzing the consequent stochastic modifications of the Einstein field equations. It is proved that, in such a setting, the bl

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47

Wang, Lei, James L. Davis, Emma M. Hill, and Mark E. Tamisiea. "Stochastic filtering for determining gravity variations for decade-long time series of GRACE gravity." Journal of Geophysical Research: Solid Earth 121, no. 4 (2016): 2915–31. http://dx.doi.org/10.1002/2015jb012650.

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48

VERDAGUER, ENRIC. "METRIC FLUCTUATIONS IN DE SITTER SPACETIME IN STOCHASTIC GRAVITY." International Journal of Modern Physics D 20, no. 05 (2011): 851–60. http://dx.doi.org/10.1142/s0218271811019189.

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Stochastic gravity extends semiclassical gravity by allowing for a systematic and self-consistent description of the metric fluctuations produced by the quantum fluctuations of the stress tensor. The effect of minimally coupled scalar fields with arbitrary mass in de Sitter spacetime is discussed, assuming that these fields are in the Bunch–Davies de Sitter invariant vacuum. The matter field fluctuations are described by the noise kernel which is obtained from the symmetrized two-point correlation of the stress tensor operator. The noise kernel is computed in terms of de Sitter invariant bi-te

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49

Shamsipour, Pejman, Denis Marcotte, and Michel Chouteau. "3D stochastic joint inversion of gravity and magnetic data." Journal of Applied Geophysics 79 (April 2012): 27–37. http://dx.doi.org/10.1016/j.jappgeo.2011.12.012.

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50

Cho, H. T., and B. L. Hu. "Noise kernels of stochastic gravity in conformally-flat spacetimes." Classical and Quantum Gravity 32, no. 5 (2015): 055006. http://dx.doi.org/10.1088/0264-9381/32/5/055006.

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