Poisson E., Will C.M. Gravity: Newtonian, Post-Newtonian, Relativistic

Cambridge University Press, 2014, 780 pages, ISBN: 978-1-107-03286-6This 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.Foundations of Newtonian gravity
Structure of self-gravitating bodies
Newtonian orbital dynamics
Minkowski spacetime
Curved spacetime
Post-Minkowskian theory: formulation
Post-Minkowskian theory: implementation
Post-Newtonian theory: fundamentals
Post-Newtonian theory: system of isolated bodies
Post-Newtonian celestial mechanics, astrometry and navigation
Gravitational waves
Radiative losses and radiation reaction
Alternative theories of gravity