Gravity: Newtonian, Post-Newtonian, Relativistic (Hardcover)

<內容簡介>

This textbook explores approximate solutions to general relativity and their consequences. It offers a unique presentation of Einstein's theory by developing powerful methods that can be applied to astrophysical systems. Beginning with a uniquely thorough treatment of Newtonian gravity, the book develops post-Newtonian and post-Minkowskian approximation methods to obtain weak-field solutions to the Einstein field equations. The book explores the motion of self-gravitating bodies, the physics of gravitational waves, and the impact of radiative losses on gravitating systems. It concludes with a brief overview of alternative theories of gravity. Ideal for graduate courses on general relativity and relativistic astrophysics, the book examines real-life applications, such as planetary motion around the Sun, the timing of binary pulsars, and gravitational waves emitted by binary black holes. Text boxes explore related topics and provide historical context, and over 100 exercises present challenging tests of the material covered in the main text.

>Gives a thorough coverage of Newtonian gravity and unique treatment of post-Newtonian and post-Minkowskian approximations to general relativity
>Text is enhanced by textboxes summarizing the main results, exploring related topics, and provide historical context and opinions
>Interesting and challenging exercises at the end of each chapter help test and develop the reader's understanding of the material

<章節目錄>

Preface
1. Foundations of Newtonian gravity
2. Structure of self-gravitating bodies
3. Newtonian orbital dynamics
4. Minkowski spacetime
5. Curved spacetime
6. Post-Minkowskian theory: formulation
7. Post-Minkowskian theory: implementation
8. Post-Newtonian theory: fundamentals
9. Post-Newtonian theory: system of isolated bodies
10. Post-Newtonian celestial mechanics, astrometry and navigation
11. Gravitational waves
12. Radiative losses and radiation reaction
13. Alternative theories of gravity
References
Index.