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Book Cover
E-book

Title Relativistic figures of equilibrium / Reinhard Meinel [and others]
Published Cambridge, UK ; New York : Cambridge University Press, 2008

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Description 1 online resource (ix, 218 pages) : illustrations
Contents 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
Summary 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
Bibliography Includes bibliographical references (pages 208-215) and index
Notes English
Print version record
Subject Rotating masses of fluid.
Equilibrium.
Relativity (Physics)
Astrophysics.
equilibrium (structural analysis concept)
astrophysics.
SCIENCE -- Astronomy.
Astrophysics
Equilibrium
Relativity (Physics)
Rotating masses of fluid
Form Electronic book
Author Meinel, Reinhard
ISBN 9780511415142
0511415141
0511414463
9780511414466
9780511535154
0511535155
9781107407350
1107407354
1107178355
9781107178359
1281751138
9781281751133
9786611751135
6611751130
0511412851
9780511412851
0511411928
9780511411922
0511413777
9780511413773