General Relativity Coursebook

by Steven Carlip (Author)
Einstein's general theory of relativity – currently our best theory of gravity – is important not only to specialists, but to a much wider group of physicists

This volume from the Einstein Studies Series is based largely on papers presented at the Sixth International Conference on the History of General Relativity, held in Amsterdam on June 26-29, 2002. These contributions from notable experts offer both new and historical insights on gravitation, general relativity, cosmology, unified field theory, and the history of science.

Physics and mathematics students are as eager as ever to become acquainted withthefoundationsofgeneralrelativityandsomeofitsmajorapplicationsin astrophysics and cosmology. I hope that this textbook gives a comprehensive and timelyintroduction toboth aspectsof thisfascinating?eld,and willturn out to be useful for undergraduate and graduate students. This book is a complete revision and extension of my previous volume ‘GeneralRelativityandRelativisticAstrophysics’thatappearedabouttwenty years ago in the Springer Series‘Texts and Monographs in Physics’; however, it cannot be regarded just as a new edition. In Part I the foundations of general relativity are thoroughly developed. Some of the more advanced topics, such as the section on the initial value problem, can be skipped in a ?rst reading. Part II is devoted to tests of general relativity and many of its app- cations. Binary pulsars – our best laboratories for general relativity – are studied in considerable detail. I have included an introduction to gravi- tional lensing theory, to the extend that the current literature on the subject should become accessible. Much space is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel’s proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten’s proof of the positive energy theorem. All the required di?erential geometric tools are developed in Part III.