TY  - BOOK
AU  - 
AU  - 
ED  - SpringerLink (Online service)
TI  - The General Theory of Relativity: A Mathematical Exposition 
SN  - 9781461436584
AV  - QC178 
U1  - 530.1 23
PY  - 2012///
CY  - New York, NY
PB  - Springer New York, Imprint: Springer
KW  - Physics
KW  - Global analysis
KW  - Classical and Quantum Gravitation, Relativity Theory
KW  - Mathematical Physics
KW  - Cosmology
KW  - Mathematical Applications in the Physical Sciences
KW  - Global Analysis and Analysis on Manifolds
N1  - Tensor 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; ZDB-2-PHA
N2  - 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 Einsteins 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
UR  - http://dx.doi.org/10.1007/978-1-4614-3658-4
ER  -