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Books on the topic 'Lorentzian'

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Published: 10 December 2022
Last updated: 28 January 2023

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1

Beem, John K. Global Lorentzian geometry. 2nd ed. New York: Marcel Dekker, 1996.

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2

Albujer, Alma L., Magdalena Caballero, Alfonso García-Parrado, Jónatan Herrera, and Rafael Rubio, eds. Developments in Lorentzian Geometry. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-05379-5.

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3

Advances in Lorentzian geometry: Proceedings of the Lorentzian geometry conference in Berlin. Providence, R.I: American Mathematical Society, 2011.

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4

Masiello, Antonio. Variational methods in Lorentzian geometry. Harlow: Longman Scientific & Technical, 1994.

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5

Sánchez, Miguel. Recent Trends in Lorentzian Geometry. New York, NY: Springer New York, 2013.

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6

Sánchez, Miguel, MIguel Ortega, and Alfonso Romero, eds. Recent Trends in Lorentzian Geometry. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-4897-6.

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7

Cañadas-Pinedo, María A., José Luis Flores, and Francisco J. Palomo, eds. Lorentzian Geometry and Related Topics. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66290-9.

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8

Masiello, A. Variational methods in Lorentzian geometry. Harlow, Essex, England: Longman Scientific & Technical, 1994.

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9

Visser, Matt. Lorentzian wormholes: From Einstein to Hawking. Woodbury, N.Y: American Institute of Physics, 1995.

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10

Bär, Christian. Wave equations on Lorentzian manifolds and quantization. Zürich, Switzerland: European Mathematical Society, 2007.

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11

Esposito, Giampiero. Quantum gravity, quantum cosmology and Lorentzian geometries. 2nd ed. Berlin: Springer-Verlag, 1994.

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12

Allcock, Daniel. The reflective Lorentzian lattices of rank 3. Providence, Rhode Island: American Mathematical Society, 2012.

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13

Duggal, Krishan L., and Ramesh Sharma, eds. Recent Advances in Riemannian and Lorentzian Geometries. Providence, Rhode Island: American Mathematical Society, 2003. http://dx.doi.org/10.1090/conm/337.

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14

Esposito, Giampiero. Quantum gravity, quantum cosmology, and Lorentzian geometries. Berlin: Springer-Verlag, 1992.

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15

Esposito, Giampiero. Quantum Gravity, Quantum Cosmology and Lorentzian Geometries. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-662-14495-4.

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16

Esposito, Giampiero. Quantum Gravity, Quantum Cosmology and Lorentzian Geometries. Edited by Secod Corrected. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-540-47295-7.

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17

1983-, Herrera J., and Sánchez M. 1966-, eds. Gromov, Cauchy and causal boundaries for Riemannian, Finslerian and Lorentzian manifolds. Providence, Rhode Island: American Mathematical Society, 2013.

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18

Lorentzen, Ida. Ida Lorentzen. New York, NY: Tibor de Nagy Gallery, 1987.

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19

Lorentzen, Ida. Ida Lorentzen: The story of seven paintings = Ida Lorentzen : historien om syv bilder. Oslo: Gyldendal norsk forlag, 1994.

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20

Lorentzen, Ida. Views of a room: Ida Lorentzen. Høvikodden [Norway]: Henie Onstad Kunstsenter, 2001.

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21

editor, Bonde Lars Ole, ed. Musikdramaturgi: Bent Lorentzen om opera som teater. København: Wilhelm Hansen Musikforlag, 2012.

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22

Lorentzen, Ida. Ida Lorentzen: Huset, rommene, fortellingen : utstilling på Nyfossum, Blaafarveværket 18. mai-22. september 2002. [Modum, Norway]: Stiftelsen Modums Blaafarveværk, 2002.

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23

IIR-Gustav Lorentzen Conference (1998 Oslo, Norway). Natural working fluids '98, IIR-Gustav Lorentzen Conference: Proceedings of the conference of Commission B2 with B1, E1 & E2 (June 2-5, 1998), Oslo, Norway = Fluides actifs naturels, Conférence IIF-Gustav Lorentzen : compte rendu de la conférence de la Commission B2 with B1, E1 & E2. Paris: International Institute of Refrigeration, 1998.

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24

IIR-Gustav, Lorentzen Conference (4th 2000 West Lafayette Ind ). Final proceedings of the 4th IIR-Gustav Lorentzen Conference on natural working fluids at Purdue: July 25-28, 2000, Purdue University, West Lafayette, Indiana 47907, USA. [Paris: Institut international du froid], 2001.

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25

Beem, John K. Global Lorentzian Geometry. CRC Press LLC, 2017.

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26

Beem, John K. Global Lorentzian Geometry. CRC Press LLC, 2017.

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27

Global Lorentzian Geometry. CRC Press LLC, 2017.

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28

Beem, John K. Global Lorentzian Geometry. CRC Press LLC, 2017.

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29

Romero, Alfonso, Miguel Sánchez, and Miguel Ortega. Recent Trends in Lorentzian Geometry. Springer, 2012.

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30

Masiello, Antonio. Variational Methods in Lorentzian Geometry. Taylor & Francis Group, 2017.

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31

Masiello, Antonio. Variational Methods in Lorentzian Geometry. Taylor & Francis Group, 2017.

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32

Antonio, Masiello. Variational methods in Lorentzian geometry. Chapman and Hall/CRC, 2017. http://dx.doi.org/10.1201/9780203734445.

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33

Romero, Alfonso, Miguel Sánchez, and Ortega Miguel. Recent Trends in Lorentzian Geometry. Springer, 2014.

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34

Masiello, Antonio. Variational Methods in Lorentzian Geometry. Taylor & Francis Group, 2017.

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35

Masiello, Antonio. Variational Methods in Lorentzian Geometry. Taylor & Francis Group, 2017.

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36

Masiello, Antonio. Variational Methods in Lorentzian Geometry. Wiley & Sons, Incorporated, John, 1994.

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37

Recent Trends In Lorentzian Geometry. Springer, 2012.

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38

1929-, Duggal Krishan L., and Sharma Ramesh 1953-, eds. Recent advances in Riemannian and Lorentzian geometries. Providence, RI: American Mathematical Society, 2003.

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39

Quantum Gravity, Quantum Cosmology and Lorentzian Geometries. Springer London, Limited, 2013.

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40

Esposito, Giampiero. Quantum Gravity, Quantum Cosmology and Lorentzian Geometries. Springer, 2014.

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41

Esposito, Giampiero. Quantum Gravity, Quantum Cosmology and Lorentzian Geometries. Springer London, Limited, 2009.

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42

Plaue, Matthias. Causality-Violating Lorentzian Manifolds Admitting a Shear-free Timelike Flow. Logos Verlag Berlin, 2012.

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43

Albujer, Alma L., Magdalena Caballero, Jónatan Herrera, Rafael Rubio, and Alfonso García-Parrado. Developments in Lorentzian Geometry: GeLoCor 2021, Cordoba, Spain, February 1-5. Springer International Publishing AG, 2022.

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44

Cañadas-Pinedo, María A., José Luis Flores, and Francisco J. Palomo. Lorentzian Geometry and Related Topics: GeLoMa 2016, Málaga, Spain, September 20–23. Springer, 2018.

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45

Cañadas-Pinedo, María A., José Luis Flores, and Francisco J. Palomo. Lorentzian Geometry and Related Topics: GeLoMa 2016, Málaga, Spain, September 20–23. Springer, 2018.

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46

Bar, Christian, Nicolas Ginoux, and Frank Pfaffle. Wave Equations on Lorentzian Manifolds and Quantization (Esi Lectures in Mathematics and Physics). American Mathematical Society, 2007.

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47

Lorentzian Wormholes: From Einstein to Hawking (AIP Series in Computational and Applied Mathematical Physics). American Institute of Physics, 1996.

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48

Chruściel, Piotr T. Geometry of Black Holes. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198855415.001.0001.

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There exists a large scientific literature on black holes, including many excellent textbooks of various levels of difficulty. However, most of these prefer physical intuition to mathematical rigour. The object of this book is to fill this gap and present a detailed, mathematically oriented, extended introduction to the subject. The first part of the book starts with a presentation, in Chapter 1, of some basic facts about Lorentzian manifolds. Chapter 2 develops those elements of Lorentzian causality theory which are key to the understanding of black-hole spacetimes. We present some applications of the causality theory in Chapter 3, as relevant for the study of black holes. Chapter 4, which opens the second part of the book, constitutes an introduction to the theory of black holes, including a review of experimental evidence, a presentation of the basic notions, and a study of the flagship black holes: the Schwarzschild, Reissner–Nordström, Kerr, and Majumdar–Papapetrou solutions of the Einstein, or Einstein–Maxwell, equations. Chapter 5 presents some further important solutions: the Kerr–Newman–(anti-)de Sitter black holes, the Emperan–Reall black rings, the Kaluza–Klein solutions of Rasheed, and the Birmingham family of metrics. Chapters 6 and 7 present the construction of conformal and projective diagrams, which play a key role in understanding the global structure of spacetimes obtained by piecing together metrics which, initially, are expressed in local coordinates. Chapter 8 presents an overview of known dynamical black-hole solutions of the vacuum Einstein equations.
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49

Deruelle, Nathalie, and Jean-Philippe Uzan. Riemannian manifolds. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0064.

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This chapter is about Riemannian manifolds. It first discusses the metric manifold and the Levi-Civita connection, determining if the metric is Riemannian or Lorentzian. Next, the chapter turns to the properties of the curvature tensor. It states without proof the intrinsic versions of the properties of the Riemann–Christoffel tensor of a covariant derivative already given in Chapter 2. This chapter then performs the same derivation as in Chapter 4 by obtaining the Einstein equations of general relativity by varying the Hilbert action. However, this will be done in the intrinsic manner, using the tools developed in the present and the preceding chapters.
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50

Chance, Kelly, and Randall V. Martin. Line Shapes. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199662104.003.0006.

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Line shapes describe how absorption and emission are spectrally distributed around the line positions formed by rotational, vibrational, and electronic transitions. Line shapes arise from the different processes that spectrally broaden the absorption and emission of radiation. Optical thickness and equivalent width are shown to be fundamentally related to line shape. The fundamental line shape functions for atmospheres including the Gaussian line shape due to molecular motion and the Lorentzian line shape from lifetime broadening, including collision (pressure) broadening are described. Their convolution, the Voigt line shape, which is important in some atmospheric conditions is also described. The standard HITRAN database of spectroscopic parameters of molecules for use in calculation of radiative transfer in planetary atmospheres, from radiofrequencies to the near ultraviolet, is introduced.
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