Relativistic Figures of Equilibrium
Relativistic Figures of Equilibrium
Marcus Ansorg, Max-Planck-Institut für Gravitationsphysik, Germany
Andreas Kleinwächter, Friedrich-Schiller-Universität, Jena, Germany
Gernot Neugebauer, Friedrich-Schiller-Universität, Jena, Germany
David Petroff, Friedrich-Schiller-Universität, Jena, Germany
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.
- The first book dealing with the rigorous theory of figures of equilibrium within general relativity
- Provides a lucid introduction to the topic for readers unfamiliar with the subject matter
- A related website contains codes to enable readers to calculate various equilibrium figures
Reviews & endorsements
"... A rigorous treatment of the simple models using both analytical and numerical methods."
Book News
"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."
Gerard A. Maugin, Mathematical Reviews
"The results of this book are of importance for a better understanding of the state of the dynamics of astrophysical objects, which will influence, among others, future high precision observations and the calculation of gravitational wave templates."
General Relativity and Gravitation
Product details
August 2008Adobe eBook Reader
9780511410529
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- 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.
