Einstein's Field Equations and Their Physical Implications
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. TOC:From the contents: The Role of Exact Solutions of
Einstein's Equations in the Developments of General Relativity
and Astrophysics Selected Themes.- The Cauchy Problem of the
Einstein Equations.- Gravitational Radiation in the Post-Newtonian
Approximation.- Duality and Hidden Symmetries in Gravitational
Theories.- Time-Independent Gravitational Fields.- Gravitational
Lensing from a Geometric Viewpoint.
- The Role of Exact Solutions of Einstein's Equations in the Developments of General Relativity and Astrophysics Selected Themes - The Cauchy Problem of the Einstein Equations - Gravitational Radiation in the Post-Newtonian Approximation - Duality and Hidden Symmetries in Gravitational Theories - Time-Independent Gravitational Fields - Gravitational Lensing from a Geometric Viewpoint.
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