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Relativistic figures of equilibrium /
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 tract...
| Call Number: | Libro Electrónico |
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| Other Authors: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
2008.
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| Subjects: | |
| Online Access: | Texto completo |
Table of 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.