Einstein’s Field Equations and Their Physical Implications

1. Front Matter

   Pages I-XIII

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2. Selected Solutions of Einstein’s Field Equations: Their Role in General Relativity and Astrophysics

   • Jiří Bičák

   Pages 1-126

3. The Cauchy Problem for the Einstein Equations

   • Helmut Friedrich, Alan Rendall

   Pages 127-223

4. Post-Newtonian Gravitational Radiation

   • Luc Blanchet

   Pages 225-271

5. Duality and Hidden Symmetries in Gravitational Theories

   • Dieter Maison

   Pages 273-323

6. Time-Independent Gravitational Fields

   • Robert Beig, Bernd Schmidt

   Pages 325-372

7. Gravitational Lensing from a Geometric Viewpoint

   • Volker Perlick

   Pages 373-425

8. Back Matter

   Pages 427-433

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This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields.
The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.    

• Einstein's equation
• Geometrical Optics
• Gravitational Lensing
• Gravity
• Post Newtonian Approximation
• Quantum Gravity
• Relativity
• astrophysics
• differential geometry
• general relativity

• Max-Planck-Institut für Gravitationshysik, Albert-Einstein-Institut, Golm, Germany

  Bernd G. Schmidt

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