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Littérature scientifique sur le sujet « Higher dimensional General Relativity »

Auteur : Grafiati

Publié le 9 mars 2023

Mis à jour le 10 mars 2023

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Articles de revues sur le sujet "Higher dimensional General Relativity"

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Reddy, D. R. K., and R. L. Naidu. "A Higher Dimensional Inflationary Universe in General Relativity." International Journal of Theoretical Physics 47, no. 9 (2008): 2339–43. http://dx.doi.org/10.1007/s10773-008-9667-4.

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Rahaman, F., Saibal Ray, M. Kalam, and M. Sarker. "Do Solar System Tests Permit Higher Dimensional General Relativity?" International Journal of Theoretical Physics 48, no. 11 (2009): 3124–38. http://dx.doi.org/10.1007/s10773-009-0110-2.

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WITEK, HELVI. "NUMERICAL RELATIVITY IN HIGHER-DIMENSIONAL SPACE–TIMES." International Journal of Modern Physics A 28, no. 22n23 (2013): 1340017. http://dx.doi.org/10.1142/s0217751x13400174.

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Black holes are among the most exciting phenomena predicted by General Relativity and play a key role in fundamental physics. Many interesting phenomena involve dynamical black hole configurations in the high curvature regime of gravity. In these lecture notes I will summarize the main numerical relativity techniques to explore highly dynamical phenomena, such as black hole collisions, in generic D-dimensional space–times. The present notes are based on my lectures given at the NR/HEP2 spring school at IST/Lisbon (Portugal) from March 11–14, 2013.

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Chiba, T. "Cylindrical Dust Collapse in General Relativity: Toward Higher Dimensional Collapse." Progress of Theoretical Physics 95, no. 2 (1996): 321–38. http://dx.doi.org/10.1143/ptp.95.321.

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Ishibashi, Akihiro. "Symmetry Properties of Black Holes in Higher Dimensional General Relativity." Progress of Theoretical Physics Supplement 172 (2008): 202–9. http://dx.doi.org/10.1143/ptps.172.202.

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Kandalkar, S. P., and S. P. Gawande. "Anisotropic fluid distribution in higher dimensional general theory of relativity." Astrophysics and Space Science 315, no. 1-4 (2008): 87–91. http://dx.doi.org/10.1007/s10509-008-9800-0.

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REALL, HARVEY S. "HIGHER DIMENSIONAL BLACK HOLES." International Journal of Modern Physics D 21, no. 12 (2012): 1230001. http://dx.doi.org/10.1142/s0218271812300017.

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MONTE, EDMUNDO M. "EMBEDDING VERSUS IMMERSION IN GENERAL RELATIVITY." International Journal of Modern Physics A 24, no. 08n09 (2009): 1501–4. http://dx.doi.org/10.1142/s0217751x09044887.

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We briefly discuss the concepts of immersion and embedding of space-times in higher-dimensional spaces. We revisit the classical work by Kasner in which he constructs a model of immersion of the Schwarzschild exterior solution into a six-dimensional pseudo-Euclidean manifold. We show that, from a physical point of view, this model is not entirely satisfactory, since the causal structure of the immersed space-time is not preserved by the immersion.

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Aygün, M., S. Aygün, I. Yilmaz, H. Baysal, and I. Tarhan. "Møller Energy–Momentum Complex in General Relativity for Higher Dimensional Universes." Chinese Physics Letters 24, no. 7 (2007): 1821–24. http://dx.doi.org/10.1088/0256-307x/24/7/010.

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Ashtekar, Abhay, and David Sloan. "Action and Hamiltonians in higher-dimensional general relativity: first-order framework." Classical and Quantum Gravity 25, no. 22 (2008): 225025. http://dx.doi.org/10.1088/0264-9381/25/22/225025.

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Thèses sur le sujet "Higher dimensional General Relativity"

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Durkee, Mark N. "New approaches to higher-dimensional general relativity." Thesis, University of Cambridge, 2011. https://www.repository.cam.ac.uk/handle/1810/240580.

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This thesis considers various aspects of general relativity in more than four spacetime dimensions. Firstly, I review the generalization to higher dimensions of the algebraic classification of the Weyl tensor and the Newman-Penrose formalism. In four dimensions, these techniques have proved useful for studying many aspects of general relativity, and it is hoped that their higher dimensional generalizations will prove equally useful in the future. Unfortunately, many calculations using the Newman-Penrose formalism can be unnecessarily complicated. To address this, I describe new work introducin

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Cook, William. "Numerical relativity in higher dimensional spacetimes." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/277718.

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The study of general relativity in higher dimensions has proven to be a fruitful avenue of research, revealing new applications of the theory, for instance in understanding strongly coupled quantum field theories through the holographic principle, and proposing an explanation of the hierarchy problem through TeV gravity scenarios. To understand the non-linear regime of higher dimensional general relativity, such as that involved in the merger of black holes, we use numerical relativity to solve the Einstein equations. In this thesis we develop and demonstrate several diagnostic tools and new i

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Shaker, Jomaa K. M. A. "Algebraic computing in general relativity and supergravity : space-time embeddings and higher dimensional theories." Thesis, Imperial College London, 1985. http://hdl.handle.net/10044/1/37849.

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Di, Dato Adriana. "Correspondences in higher-dimensional gravity." Doctoral thesis, Universitat de Barcelona, 2015. http://hdl.handle.net/10803/384541.

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In this thesis we have made progress on the study of higher dimensional gravity by focusing on the properties of black holes and branes and their dynamics. We have developed two main projects: • provide several maps between different spacetimes • determine the hydrodynamical behavior of fluids dual to some classes of black holes This work improves the current understanding of GR in spacetimes with general dimension and gives hints for holography in spacetimes different from AdS. Here we give a brief summary of the work developed underling the main results achieved. In Chapter 2, we intro

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Kunesch, Markus. "Numerical simulations of instabilities in general relativity." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/283135.

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General relativity, one of the pillars of our understanding of the universe, has been a remarkably successful theory. It has stood the test of time for more than 100 years and has passed all experimental tests so far. Most recently, the LIGO collaboration made the first-ever direct detection of gravitational waves, confirming a long-standing prediction of general relativity. Despite this, several fundamental mathematical questions remain unanswered, many of which relate to the global existence and the stability of solutions to Einstein's equations. This thesis presents our efforts to use numer

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Seahra, Sanjeev. "Physics in Higher-Dimensional Manifolds." Thesis, University of Waterloo, 2003. http://hdl.handle.net/10012/1276.

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In this thesis, we study various aspects of physics in higher-dimensional manifolds involving a single extra dimension. After giving some historical perspective on the motivation for studying higher-dimensional theories of physics, we describe classical tests for a non-compact extra dimension utilizing test particles and pointlike gyroscopes. We then turn our attention to the problem of embedding any given <i>n</i>-dimensional spacetime within an (<i>n</i>+1)-dimensional manifold, paying special attention to how any structure from the extra dimension modifies the standard <i>n</i>-dimen

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Carter, Benedict Miles Nicholas. "Higher Dimensional Gravity, Black Holes and Brane Worlds." Thesis, University of Canterbury. Physics and Astronomy, 2006. http://hdl.handle.net/10092/1273.

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Current research is focussed on extending our knowledge of how gravity behaves on small scales and near black hole horizons, with various modifications which may probe the low energy limits of quantum gravity. This thesis is concerned with such modifications to gravity and their implications. In chapter two thermodynamical stability analyses are performed on higher dimensional Kerr anti de Sitter black holes. We find conditions for the black holes to be able to be in thermal equilibrium with their surroundings and for the background to be stable against classical tensor perturbations. In cha

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Godazgar, Mohammad Mahdi. "Aspects of higher dimensional Einstein theory and M-theory." Thesis, University of Cambridge, 2012. https://www.repository.cam.ac.uk/handle/1810/245148.

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This thesis contains two main themes. The first is Einstein's theory of general relativity in higher dimensions, while the second is M-theory. The first part of the thesis concerns the use of classification techniques based on the Weyl curvature in an attempt to systematically study higher dimensional general relativity and its solutions. After a review of the various classification schemes, the application of these schemes to the study of higher dimensional solutions is explained. The first application of the tensor approach that is discussed is the systematic classification of higher dimensi

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Schlue, Volker. "Linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes." Thesis, University of Cambridge, 2012. https://www.repository.cam.ac.uk/handle/1810/243640.

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I study linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes. In the first part of this thesis two decay results are proven for general finite energy solutions to the linear wave equation on higher dimensional Schwarzschild black holes. I establish uniform energy decay and improved interior first order energy decay in all dimensions with rates in accordance with the 3 + 1-dimensional case. The method of proof departs from earlier work on this problem. I apply and extend the new physical space approach to decay of Dafermos and Rodnianski. An integr

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Newsome, Ian M. "GEODESIC STRUCTURE IN SCHWARZSCHILD GEOMETRY WITH EXTENSIONS IN HIGHER DIMENSIONAL SPACETIMES." VCU Scholars Compass, 2018. https://scholarscompass.vcu.edu/etd/5414.

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From Birkoff's theorem, the geometry in four spacetime dimensions outside a spherically symmetric and static, gravitating source must be given by the Schwarzschild metric. This metric therefore satisfies the Einstein vacuum equations. If the mass which gives rise to the Schwarzschild spacetime geometry is concentrated within a radius of r=2M, a black hole will form. Non-accelerating particles (freely falling) traveling through this geometry will do so along parametrized curves called geodesics, which are curved space generalizations of straight paths. These geodesics can be found by solving th

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Livres sur le sujet "Higher dimensional General Relativity"

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Horowitz, Gary T. Black holes in higher dimensions. Cambridge University Press, 2012.

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1954-, Peternell Th, ed. Geometry of higher dimensional algebraic varieties. Birkhäuser Verlag, 1997.

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Fonseca, Carlos M. da. A panorama of mathematics: Pure and applied : Conference on Mathematics and Its Applications, November 14-17, 2014, Kuwait University, Safat, Kuwait. American Mathematical Society, 2016.

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Block, Jonathan, 1960- editor of compilation, ed. String-Math 2011. American Mathematical Society, 2012.

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editor, Bouchard Vincent 1979, ed. String-Math 2014: June 9-13, 2014, University of Alberta, Alberta, Canada. American Mathematical Society, 2016.

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editor, Donagi Ron, Douglas, Michael (Michael R.), editor, Kamenova Ljudmila 1978 editor, and Roček M. (Martin) editor, eds. String-Math 2013: Conference, June 17-21, 2013, Simons Center for Geometry and Physics, Stony Brook, NY. American Mathematical Society, 2014.

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P, Minicozzi William, ed. A course in minimal surfaces. American Mathematical Society, 2011.

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editor, Donagi Ron, Katz Sheldon 1956 editor, Klemm Albrecht 1960 editor, and Morrison, David R., 1955- editor, eds. String-Math 2012: July 16-21, 2012, Universität Bonn, Bonn, Germany. American Mathematical Society, 2015.

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1932-, Bass Hyman, and Lam, T. Y. (Tsit-Yuen), 1942-, eds. Algebra. American Mathematical Society, 2010.

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Tsfasman, M. A. Algebraic geometry codes: Basic notions. American Mathematical Society, 2007.

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Chapitres de livres sur le sujet "Higher dimensional General Relativity"

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Reall, Harvey S. "Higher-Dimensional Black Holes." In General Relativity, Cosmology and Astrophysics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06349-2_12.

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LukÁcs, B. "Acausality and Retrocausality in Four- and Higher-Dimensional General Relativity." In The Nature of Time: Geometry, Physics and Perception. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0155-7_29.

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del Castillo, Gerardo F. Torres. "Applications to General Relativity." In Spinors in Four-Dimensional Spaces. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4984-5_3.

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Drábek, Pavel, Hans P. Heinig, and Alois Kufner. "Higher dimensional Hardy inequality." In General Inequalities 7. Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8942-1_1.

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Compère, Geoffrey. "Three Dimensional Einstein’s Gravity." In Advanced Lectures on General Relativity. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04260-8_2.

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Klemm, D. "Review of Four-Dimensional Supersymmetric AdS Black Holes." In Recent Developments in General Relativity. Springer Milan, 2000. http://dx.doi.org/10.1007/978-88-470-2113-6_34.

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Menotti, P. "Hamiltonian Structure of 2+1 Dimensional Gravity." In Recent Developments in General Relativity, Genoa 2000. Springer Milan, 2002. http://dx.doi.org/10.1007/978-88-470-2101-3_12.

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Kamenshchik, Alexander Yu. "The Bianchi Classification of the Three-Dimensional Lie Algebras and Homogeneous Cosmologies and the Mixmaster Universe." In Einstein Equations: Physical and Mathematical Aspects of General Relativity. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-18061-4_3.

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Hacon, Christopher. "Higher dimensional minimal model program for varieties of log general type." In Analytic and Algebraic Geometry. American Mathematical Society, 2010. http://dx.doi.org/10.1090/pcms/017/10.

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Lapidus, Michel L., Goran Radunović, and Darko Žubrinić. "Fractal Zeta Functions and Complex Dimensions: A General Higher-Dimensional Theory." In Fractal Geometry and Stochastics V. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18660-3_13.

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Actes de conférences sur le sujet "Higher dimensional General Relativity"

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REALL, HARVEY S. "HIGHER DIMENSIONAL BLACK HOLES." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0007.

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Mbonye, Manasse R. "Evolution of evaporating Black Holes in a higher dimensional inflationary universe." In GENERAL RELATIVITY AND RELATIVISTIC ASTROPHYSICS. ASCE, 1999. http://dx.doi.org/10.1063/1.1301580.

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FUSTER, ANDREA, and NICOS PELAVAS. "HIGHER DIMENSIONAL VSI SPACETIMES AND SUPERGRAVITY." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0136.

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ALIEV, ALIKRAM N. "HIGHER DIMENSIONAL ROTATING CHARGED BLACK HOLES." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0157.

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SPERHAKE, ULRICH. "NUMERICAL RELATIVITY IN HIGHER DIMENSIONS." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0025.

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DELSATE, TÉRENCE. "PHASES OF AdS HIGHER DIMENSIONAL BLACK STRINGS." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0137.

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MAJUMDAR, ARCHAN S., and NUPUR MUKHERJEE. "GRAVITATIONAL LENSING BY HIGHER DIMENSIONAL BLACK HOLES." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0237.

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Monteiro, Filipe C. P., and José P. S. Lemos. "The Shapiro time delay effect in higher dimensional general relativity." In Proceedings of the MG14 Meeting on General Relativity. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813226609_0309.

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MENA, FILIPE C., J. NATÁRIO, and P. TOD. "GRAVITATIONAL COLLAPSE TO HIGHER DIMENSIONAL TOPOLOGICAL BLACK HOLES." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0130.

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KUNDURI, HARI K., JAMES LUCIETTI, and HARVEY S. REALL. "GRAVITATIONAL PERTURBATIONS OF HIGHER DIMENSIONAL ROTATING BLACK HOLES." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0151.

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Rapports d'organisations sur le sujet "Higher dimensional General Relativity"

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Russo, David, and William A. Jury. Characterization of Preferential Flow in Spatially Variable Unsaturated Field Soils. United States Department of Agriculture, 2001. http://dx.doi.org/10.32747/2001.7580681.bard.

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Preferential flow appears to be the rule rather than the exception in field soils and should be considered in the quantitative description of solute transport in the unsaturated zone of heterogeneous formations on the field scale. This study focused on both experimental monitoring and computer simulations to identify important features of preferential flow in the natural environment. The specific objectives of this research were: (1) To conduct dye tracing and multiple tracer experiments on undisturbed field plots to reveal information about the flow velocity, spatial prevalence, and time evol

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