Relativistic Figures of Equilibrium

A valuable reference on the classical problem of gravitational physics for researchers in general relativity, mathematical physics, and astrophysics.

Reinhard Meinel (Author), Marcus Ansorg (Author), Andreas Kleinwächter (Author), Gernot Neugebauer (Author), David Petroff (Author)

9781107407350, Cambridge University Press

Paperback / softback, published 13 September 2012

230 pages
24.4 x 17 x 1.2 cm, 0.37 kg

Review of the hardback: 'Nicely produced by Cambridge University Press, this rather specialized book rich in analytical and numerical methods is of value to students and professional researchers in general relativity, mathematical physics and astrophysics.' Mathematical Reviews

This book treats the classical problem of gravitational physics within Einstein's theory of general relativity. It presents basic principles and equations needed to describe rotating fluid bodies, as well as black holes in equilibrium. It then goes on to deal with a number of analytically tractable limiting cases, placing particular emphasis on the rigidly rotating disc of dust. The book concludes by considering the general case using powerful numerical methods that are applied to various models, including the classical example of equilibrium figures of constant density. Researchers in general relativity, mathematical physics, and astrophysics will find this a valuable reference book on the topic. A related website containing codes for calculating various figures of equilibrium is available at www.cambridge.org/9781107407350.

Preface
Notation
1. Rotating fluid bodies in equilibrium: fundamental notions and equations
2. Analytical treatment of limiting cases
3. Numerical treatment of the general case
4. Remarks on stability and astrophysical relevance
Appendixes
References
Index.

Subject Areas: Astrophysics [PHVB], Mathematical physics [PHU], Statistical physics [PHS], Theoretical & mathematical astronomy [PGC]