Book Description A modern self-contained introduction to key
topics in advanced general relativity. The opening chapter reviews the
subject, with strong emphasis on the geometric structures underlying
the theory. The next chapter discusses 2-component spinor theory, its
usefulness for describing zero-mass fields, its practical application
via Newman-Penrose formalism, together with examples and applications.
The subsequent chapter is an account of the asymptotic theory far from
a strong gravitational source, describing the mathematical theory by
which measurements of the far-field and gravitational radiation
emanating from a source can be used to describe the source itself. The
final chapter describes the natural characteristic initial value
problem, first in general terms, and then with particular emphasis for
relativity, concluding with its relation to Arnold's singularity
theory. Exercises are included.
Advanced general relativity (Stewart J.) 240 pages Publisher: Cambridge University Press Reprint edition (February 15, 2003) Language: English ISBN-10: 0521449464 ISBN-13: 978-0521449465 1.9Mb