Relativistic Figures of Equilibrium
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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, 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/9780521863834.
List price: $164.99
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 6/26/2008
Size: 7.00" wide x 9.75" long x 0.50" tall
|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|
|Transition to black holes|
|Analytical treatment of limiting cases|
|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|
|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|