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
Review of the hardback: '… this book is a very valuable tool for anybody wishing to learn more about relativistic rotating bodies in equilibrium. … overall it is an excellent reference on this topic.' Classical and Quantum Gravity
Review of the hardback: 'This is an advanced and specialised book, presenting the state of the art in this field, with emphasis on the authors' own expertise and approaches. It contains an extensive discussion of the analytical handling of limiting cases on the one hand and the numerical treatment of the general case on the other, thus providing a complete picture of the subject. … pleasant to read …This book is a standard reference for this subject every researcher in relativity theory should know.' General Relativity and Gravitation
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
Product details
September 2012Paperback
9781107407350
230 pages
244 × 170 × 12 mm
0.37kg
Available
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.
