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Physics - Theoretical, Mathematical & Computational Physics | The General Theory of Relativity - A Mathematical Exposition

The General Theory of Relativity

A Mathematical Exposition

Das, Anadijiban, DeBenedictis, Andrew

2012, XXVI, 678 p.

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  • Provides a number of important exact solutions which are not covered in many of the standard textbooks
  •  
  • Presents and proves a number of elegant theorems which have important consequences in general relativity theory
  •  
  • Offers mathematical rigor with precise and very lucid notations
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  • Clear and detailed explanations make the book accessible to a broad audience

 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.

Content Level » Research

Keywords » Black Holes - Einstein-Maxwell-Klein-Gordon Equations - Einstein’s Field Equations - General Relativity Mathematical Approach - General Relativity Text - Newman-Penrose Formalism - Pseudo-Riemannian Space-Time Manifold

Related subjects » Analysis - Cosmology - Theoretical, Mathematical & Computational Physics

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