A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics

ISBN-13: 9780521830911 / Angielski / Twarda / 2004 / 250 str.

Eric Poisson

Opis

This 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.

Recenzje

'The author puts emphasis on training the readers and equipping them with the relevant skills of a working relativist. The text reaches a high pedagogical standard … In this way the author succeeds in closing a gap in the existing text book literature especially for a readership mainly oriented towards physics.' Monatshefte für Mathematik

Spis treści

Preface; Notation and conventions; 1. Fundamentals; 2. Geodesic congruences; 3. Hypersurfaces; 4. Lagrangian and Hamiltonian formulation of general relativity; 5. Black holes; References; Index.