Relativistic figures of equilibrium [E-Book] / Reinhard Meinel [and others].
Meinel, Reinhard, (author)
Cambridge : Cambridge University Press, 2008
1 online resource (ix, 218 pages)
Full Text
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.