The general theory of relativity : a mathematical exposition / Anadijiban Das, Andrew DeBenedictis.

Format:

Book

Author/Creator:

Das, Anadijiban.

Contributor:

DeBenedictis, Andrew.

Language:

English

Subjects (All):

General relativity (Physics)--Mathematics.

General relativity (Physics).

Physical Description:

1 online resource (693 p.)

Edition:

1st ed. 2012.

Place of Publication:

New York : Springer, 2012.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-280-99727-3

9786613768889

1-4614-3658-3

OCLC:

801366022