Rotating Objects and Relativistic Physics: Proceedings of the El Escorial Summer School on Gravitation and General Relativity 1992: Rotating Objects and Other Topics Held at El Escorial, Spain, 24–28 August 1992

Y. Erguchi (auth.), F. J. Chinea, L. M. González-Romero (eds.)354057364X, 9783540573647, 038757364X

This book addresses physicists working in general relativity, astrophysics and cosmology. The contributions are based on reports given at a summer school the goal of which was to review modern research for students. The school was centered on the study of gravitational fields corresponding to rotating objects of astrophysical interest, under different viewpoints: theoretical, numerical and observational. Special emphasis is put on the analysis of interior and exterior fields of stationary axisymmetric systems. Lectures and contributions, collected here in Part I, ranged from basic information useful to newcomers to technical points pertaining to current research in this area. Part II contains lectures and contributions on other aspects of gravitation theory.

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Table of contents :
Equilibrium configurations of general relativistic rotating stars….Pages 1-28
Axisymmetric stationary solutions of Einstein’s equations….Pages 29-53
The dyadic approach to solutions for rotating rigid bodies….Pages 55-72
Stationary and axisymmetric perfect-fluid solutions to Einstein’s equations….Pages 73-88
Black-Holes in X-Ray Binaries….Pages 89-112
General relativistic stationary axisymmetric rotating systems….Pages 113-118
The superposition of two Kerr-Newman solutions….Pages 119-122
Stationary black holes rotate differentially….Pages 123-124
Differentially rotating perfect fluids….Pages 125-129
Rotating barotropes….Pages 130-135
Matching of stationary axisymmetric space-times….Pages 136-140
Axial symmetry and conformal killings….Pages 141-146
Numerical relativistic hydrodynamics….Pages 147-183
Singularity-free spacetimes….Pages 185-193
On radiative solutions in general relativity….Pages 195-202
Application of Wahlquist-Estabrook method to relativity vacuum equations with one Killing vector….Pages 203-212
On the regularity of spherically symmetric static spacetimes….Pages 213-217
Shock capturing methods in 1D numerical relativity….Pages 218-226
Invariance transformations of the class y ″ = F(x) y N of differential equations arising in general relativity….Pages 227-234
Relativistic Kinetic Theory and cosmology….Pages 235-244
Colliding gravitational waves with variable polarization….Pages 245-249
The monopole — Quadrupole solution of Einstein’s equations….Pages 250-254
Effective action methods in cosmology: The back-reaction problem….Pages 255-265
Quantization in a colliding plane wave spacetime….Pages 266-271
Coleman’s mechanism in Jordan-Brans-Dicke gravity….Pages 272-276
No-boundary condition in multidimensional gravity….Pages 277-282
Distance of matter inside an Einstein-Strauss vacuole….Pages 283-286
Conformally stationary cosmological models….Pages 287-290
L-Rigidity in Newtonian approximation….Pages 291-295
Presymplectic manifolds and conservation laws….Pages 296-300
On a project for a repetition of the Michelson – Morley experiment….Pages 301-302
Nonlinear evolution of cosmological inhomogeneities….Pages 303-303
The great attractor and the COBE quadrupole….Pages 304-304