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Books on the topic 'Mathematical aspects of general relativity'

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Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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1

Cacciatori, Sergio, Batu Güneysu, and Stefano Pigola, eds. Einstein Equations: Physical and Mathematical Aspects of General Relativity. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-18061-4.

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2

International Conference on Aspects of General Relativity and Mathematical Physics (1993 Mexico City, Mexico). Proceedings of the International Conference on Aspects of General Relativity and Mathematical Physics: June 2-4, 1993 at Centro de Investigación y de Estudios Avanzados del I.P.N., Mexico City. Mexico City: CINVESTAV, 1993.

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3

Samos Meeting on Cosmology, Geometry and Relativity (2nd 1998 Pythagoreon, Samos, Greece). Mathematical and quantum aspects of relativity and cosmology: Proceedings of the second Samos Meeting on Cosmology, Geometry and Relativity, held at Pythagoreon, Samos, Greece, 31 August-4 September 1998. Berlin: Springer, 2000.

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4

Mathematical problems of general relativity theory. Zu rich: European Mathematical Society, 2008.

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5

Straumann, Norbert. General Relativity. 2nd ed. Dordrecht: Springer Netherlands, 2013.

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6

Esposito, Giampiero. Complex general relativity. Dordrecht: Kluwer Academic Publishers, 1995.

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7

Rotating fields in general relativity. Cambridge [Cambridgeshire]: Cambridge University Press, 1985.

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8

Kotlikoff, Laurence J. On the general relativity of fiscal language. Cambridge, Mass: National Bureau of Economic Research, 2006.

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9

Das, Anadijiban. The general theory of relativity: A mathematical exposition. New York: Springer, 2012.

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10

Andrew, DeBenedictis, and SpringerLink (Online service), eds. The General Theory of Relativity: A Mathematical Exposition. New York, NY: Springer New York, 2012.

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11

Hobill, David. Deterministic Chaos in General Relativity. Boston, MA: Springer US, 1994.

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12

Griffiths, J. B. Colliding plane waves in general relativity. Oxford: Clarendon Press, 1991.

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13

Cotsakis, Spiros, and Gary W. Gibbons, eds. Mathematical and Quantum Aspects of Relativity and Cosmology. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/3-540-46671-1.

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14

Ted, Newman, Janis Allen I. 1930-, Porter John R. 1940-, and Discussion Conference on Recent Advances in General Relativity (1990 : University of Pittsburgh), eds. Recent advances in general relativity: Essays in honor of Ted Newman. Boston: Birkhäuser, 1992.

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15

Tonti, Enzo. The mathematical structure of classical and relativistic physics: A general classification diagram. New York: Birkhäuser, 2013.

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16

Remo, Ruffini, and Sigismondi Costantino, eds. Nonlinear gravitodynamics: The lense-thirring effect, a documentary introduction to current research. New Jersey: World Scientific, 2003.

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17

France) Journées relativistes (1989 Tours. Journées relativistes 1989: Tours, 27-29 avril 1989. Les Ulis, France: Editions de physique, 1989.

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18

AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Mathematics in General Relativity (1986 University of California, Santa Cruz). Mathematics and general relativity: Proceedings of the AMS-IMS-SIAM joint summer research conference held June 22-28, 1986 with support from the National Science Foundation. Edited by Isenberg James A. Providence, R.I: American Mathematical Society, 1988.

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19

Baranov, A. M. Svetopodobnye istochniki v obshcheĭ teorii otnositelʹnosti: Monografii︠a︡. Krasnoi︠a︡rsk: Sibirskiĭ federalʹnyĭ universitet, 2011.

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20

Callahan, James. The geometry of spacetime: An introduction to special and general relativity. New York: Springer, 2000.

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21

A, Macías, Läemmerzahl Claus, and Nuñez Dario, eds. Gravitation and cosmology: 2nd Mexican Meeting on Mathematical and Experimental Physics, México City, México, 6-10 September 2004. Melville, N.Y: American Institute of Physics, 2005.

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22

Journées relativistes (1985 Centre international de recherches mathématiques de Marseille-Luminy). Géométrie et physique: Journées relativistes de Marseille-Luminy d'avril 1985. Paris: Hermann, 1987.

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23

Chruściel, Piotr T. The Einstein Equations and the Large Scale Behavior of Gravitational Fields: 50 Years of the Cauchy Problem in General Relativity. Basel: Birkhäuser Basel, 2004.

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24

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

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25

V, Buldygin V., and Kharazishvili A. B, eds. Geometric aspects of probability theory and mathematical statistics. Dordrecht: Kluwer Academic, 2000.

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26

On the emergence theme of physics. Singapore: World Scientific, 2010.

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27

U, Bruzzo, Cianci R, Massa E, and International Society on General Relativity and Gravitation., eds. 7th Italian Conference on General Relativity and Gravitational Physics, Rapallo (Genoa), September 3-6, 1986. Singapore: World Scientific, 1987.

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28

Joshi, Pankaj S. Global aspects in gravitation and cosmology. Oxford: Clarendon Press, 1996.

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29

Mathematical Quantum Aspects of Relativity and Cosmology. Springer, 2000.

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30

Cotsakis, Spiros, and Gary W. Gibbons. Mathematical and Quantum Aspects of Relativity and Cosmology. Springer, 2010.

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31

Pigola, Stefano, Sergio Cacciatori, and Batu Güneysu. Einstein Equations : Physical and Mathematical Aspects of General Relativity: Domoschool 2018. Birkhäuser, 2019.

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32

Pigola, Stefano, Sergio Cacciatori, and Batu Güneysu. Einstein Equations : Physical and Mathematical Aspects of General Relativity: Domoschool 2018. Springer International Publishing AG, 2020.

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33

Mashhoon, Bahram. Extension of General Relativity. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803805.003.0005.

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Abstract:
Nonlocal general relativity (GR) requires an extension of the mathematical framework of GR. Nonlocal GR is a tetrad theory such that the orthonormal tetrad frame field of a preferred set of observers carries the sixteen gravitational degrees of freedom. The spacetime metric is then defined via the orthonormality condition. The preferred frame field is used to define a new linear Weitzenböck connection in spacetime. The non-symmetric Weitzenböck connection is metric compatible, curvature-free and renders the preferred (fundamental) frame field parallel. This circumstance leads to teleparallelism. The fundamental parallel frame field defined by the Weitzenböck connection is the natural generalization of the parallel frame fields of the static inertial observers in a global inertial frame in Minkowski spacetime. The Riemannian curvature of the Levi-Civita connection and the torsion of the Weitzenböck connection are complementary aspects of the gravitational field in extended GR.
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34

Cotsakis, Spiros, and Gary W. Gibbons. Mathematical and Quantum Aspects of Relativity and Cosmology: Proceedings of the Second Samos Meeting on Cosmology, Geometry and Relativity Held at Pythagoreon, Samos, Greece, 31 August - 4 September 1998. Springer London, Limited, 2008.

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35

Katkar, L. N. Mathematical Theory of General Relativity. Alpha Science International, Limited, 2014.

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36

Sasane, Amol. Mathematical Introduction to General Relativity. World Scientific Publishing Co Pte Ltd, 2021.

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37

Sasane, Amol. A Mathematical Introduction to General Relativity. WORLD SCIENTIFIC, 2021. http://dx.doi.org/10.1142/12454.

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38

Straumann, Norbert. General Relativity. Springer, 2012.

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39

Straumann, Norbert. General Relativity. Springer, 2014.

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40

Islam, Jamal Nazrul. Rotating Fields in General Relativity. Cambridge University Press, 2011.

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41

Islam, Jamal Nazrul. Rotating Fields in General Relativity. Cambridge University Press, 2010.

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42

Islam, Jamal Nazrul. Rotating Fields in General Relativity. Cambridge University Press, 2009.

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43

Esposito, Giampiero. Complex General Relativity. Springer London, Limited, 2006.

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44

Esposito, Giampiero, and Maria Rosaria D'Esposito. Complex General Relativity. Springer Netherlands, 2010.

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45

Rahaman, Farook. General Theory of Relativity: A Mathematical Approach. University of Cambridge ESOL Examinations, 2021.

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46

Katti, Mr Ashok N. Mathematical Theory of Special and General Relativity. Createspace Independent Publishing Platform, 2016.

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47

Rahaman, Farook. General Theory of Relativity: A Mathematical Approach. University of Cambridge ESOL Examinations, 2021.

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48

Rahaman, Farook. General Theory of Relativity: A Mathematical Approach. University of Cambridge ESOL Examinations, 2021.

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49

DeBenedictis, Andrew, and Anadijiban Das. General Theory of Relativity: A Mathematical Exposition. Springer New York, 2014.

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50

Hehl, Friedrich, and Wojciech Kopczynski. Gravitation: The Gauge Paradigm and General Relativity. University of Cambridge ESOL Examinations, 2000.

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