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Relativistic Figures of Equilibrium

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ISBN-10: 052186383X

ISBN-13: 9780521863834

Edition: 2008

Authors: Reinhard Meinel, Marcus Ansorg, Gernot Neugebauer, David Petroff, Andreas Kleinw�chter

List price: $164.99
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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,…    
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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

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