Relativist's Toolkit
The Mathematics of Black-Hole Mechanics
by Eric PoissonThis textbook fills a gap in the existing literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities.
The context is provided by the mathematical theory of black holes, one of the most successful and relevant applications of general relativity.
Topics covered include congruences of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity.
- First published
- 2007
- Publishers
- Cambridge University Press
- Language
- English
This is one of the few book discussing the Gibbons-York-Hawking term. Also, shows the details to get the Hamilton equations from Hilbert's action.
I started reading this book only yesterday. I've worked through all but the last chapter, and I'm already ready to conclude that this is an amazing book!
As the book title suggests, this is not an introduction to general relativity. However, with a basic understanding of general relativity and differential geometry, this book can be a very rewarding read.
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