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 multidomain 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 208215) 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 
