Relativistic Figures of Equilibrium

Name: Relativistic Figures of Equilibrium
Price: 18.51 USD
Availability: InStock
ISBN: 9780521863834

ISBN-10: 052186383X

ISBN-13: 9780521863834

Edition: 2008

Authors: Reinhard Meinel, Marcus Ansorg, Gernot Neugebauer, David Petroff, Andreas Kleinwï¿½chter

List price: $164.99

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Description:

In recent years, the study of neutron stars and black holes has become increasingly important, and rigorous mathematical analysis needs to be applied in order to understand their basic 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,…

Book details

List price: $164.99
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 6/26/2008
Binding: Hardcover
Pages: 228
Size: 7.00" wide x 9.75" long x 0.50" tall
Weight: 1.342
Language: English



Preface


Notation



Rotating fluid bodies in equilibrium: fundamental notions and equations



The concept of an isolated body



Fluid bodies in equilibrium



The metric of an axisymmetric perfect fluid body in stationary rotation



Einstein's field equations inside and outside the body



Equations of state



Physical properties



Limiting cases



Transition to black holes



Analytical treatment of limiting cases



Maclaurin spheroids



Schwarzschild spheres



The rigidly rotating disc of dust



The Kerr metric as the solution to a boundary value problem



Numerical treatment of the general case



A multi-domain spectral method



Coordinate mappings



Equilibrium configurations of homogeneous fluids



Configurations with other equations of state



Fluid rings with a central black hole



Remarks on stability and astrophysical relevance



A detailed look at the mass-shedding limit



Theta functions: definitions and relations



Multipole moments of the rotating disc of dust



The disc solution as a Backlund limit


References


Index