"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."
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