The General Theory of Relativity: A Mathematical Exposition

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.