Relativistic Figures of Equilibrium

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Reinhard Meinel (Friedrich-Schiller-Universität, Jena, Germany) Marcus Ansorg (Max-Planck-Institut für Gravitationsphysik, Germany)

Relativistic Figures of Equilibrium

Reinhard Meinel (Friedrich-Schiller-Universität, Jena, Germany), Marcus Ansorg (Max-Planck-Institut für Gravitationsphysik, Germany), Andreas Kleinwächter (Friedrich-Schiller-Universität, Jena, Germany) , Gernot Neugebauer (Friedrich-Schiller-Universität, Jena, Germany)

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English

Cambridge University Press
26 June 2008

Theoretical & mathematical astronomy; Statistical physics

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.

By: Reinhard Meinel (Friedrich-Schiller-Universität Jena Germany), 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)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm, Spine: 15mm
Weight: 610g
ISBN: 9780521863834
ISBN 10: 052186383X
Pages: 230
Publication Date: 26 June 2008
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

Reinhard Meinel is a Professor of Theoretical Physics at the Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitat, Jena, Germany. His research is in the field of gravitational theory, focusing on astrophysical applications. Marcus Ansorg is a Researcher at the Max-Planck-Institut fur Gravitationsphysik, Potsdam, Germany, where his research focuses on the application of spectral methods for producing highly accurate solutions to Einstein's field equations. Andreas Kleinwachter is a Researcher at the Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitat. His current research is on analytical and numerical methods for solving the axisymmetric and stationary equations of general relativity. Gernot Neugebauer is a Professor Emeritus at the Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitat. His research deals with Einstein's theory of gravitation, soliton theory, and thermodynamics. David Petroff is a Researcher at the Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitat. His research is on stationary black holes and neutron stars, making use of analytical approximations and numerical methods.

Reviews for Relativistic Figures of Equilibrium

'... 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 '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 '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