000			03971nam a22004935i 4500
001			978-1-4614-3658-4
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007			cr nn 008mamaa
008			120626s2012 xxu| s |||| 0|eng d
020			_a9781461436584 _9978-1-4614-3658-4
024	7		_a10.1007/978-1-4614-3658-4 _2doi
050		4	_aQC178
050		4	_aQC173.5-173.65
072		7	_aPHDV _2bicssc
072		7	_aPHR _2bicssc
072		7	_aSCI033000 _2bisacsh
082	0	4	_a530.1 _223
100	1		_aDas, Anadijiban. _eauthor.
245	1	4	_aThe General Theory of Relativity _h[electronic resource] : _bA Mathematical Exposition / _cby Anadijiban Das, Andrew DeBenedictis.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2012.
300			_aXXVI, 678 p. 106 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aTensor Analysis on Differentiable Manifolds -- The Pseudo-Riemannian Space-Time Manifold M4 -- Spherically Symmetric Space-Time Domains -- Static and Stationary Space-Time Domains -- Black Holes -- Cosmology -- Algebraic Classification of Field Equations -- The Coupled Einstein-Maxwell-Klein-Gordon Equations -- Appendix 1: Variational Derivation of Differential Equations -- Appendix 2: Partial Differential Equations -- Appendix 3: Canonical Forms of Matrices -- Appendix 4: Conformally Flat Space-Times and "the Fifth Force" -- Appendix 5: Linearized Theory and Gravitational Waves -- Appendix 6: Exotic Solutions: Wormholes, Warp-Drives, and Time Machines -- Appendix 7: Gravitational Instantons -- Appendix 8: Computational Symbolic Algebra Calculations -- References -- Index of Symbols -- Index.
520			_a The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: • tensor analysis • the special theory of relativity • the general theory of relativity and Einstein’s field equations • spherically symmetric solutions and experimental confirmations • static and stationary space-time domains • black holes • cosmological models • algebraic classifications and the Newman-Penrose equations • the coupled Einstein-Maxwell-Klein-Gordon equations • appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland; Jadavpur University, India; Carnegie-Mellon University, USA; and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory. Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.
650		0	_aPhysics.
650		0	_aGlobal analysis.
650	1	4	_aPhysics.
650	2	4	_aClassical and Quantum Gravitation, Relativity Theory.
650	2	4	_aMathematical Physics.
650	2	4	_aCosmology.
650	2	4	_aMathematical Applications in the Physical Sciences.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
700	1		_aDeBenedictis, Andrew. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461436577
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-3658-4
912			_aZDB-2-PHA
999			_c101418 _d101418