Rotating Objects and Relativistic Physics

This book grew out of a summer school designed to review recent developments for students of relativity theory and astrophysics. It discusses the bearing of Einstein's general relativity on rotating objects of interest in astronomy. It addresses researchers as well as graduate students.

Inhalt
Equilibrium configurations of general relativistic rotating stars.- Axisymmetric stationary solutions of Einstein's equations.- The dyadic approach to solutions for rotating rigid bodies.- Stationary and axisymmetric perfect-fluid solutions to Einstein's equations.- Black-Holes in X-Ray Binaries.- General relativistic stationary axisymmetric rotating systems.- The superposition of two Kerr-Newman solutions.- Stationary black holes rotate differentially.- Differentially rotating perfect fluids.- Rotating barotropes.- Matching of stationary axisymmetric space-times.- Axial symmetry and conformal killings.- Numerical relativistic hydrodynamics.- Singularity-free spacetimes.- On radiative solutions in general relativity.- Application of Wahlquist-Estabrook method to relativity vacuum equations with one Killing vector.- On the regularity of spherically symmetric static spacetimes.- Shock capturing methods in 1D numerical relativity.- Invariance transformations of the class y? = F(x) y N of differential equations arising in general relativity.- Relativistic Kinetic Theory and cosmology.- Colliding gravitational waves with variable polarization.- The monopole Quadrupole solution of Einstein's equations.- Effective action methods in cosmology: The back-reaction problem.- Quantization in a colliding plane wave spacetime.- Coleman's mechanism in Jordan-Brans-Dicke gravity.- No-boundary condition in multidimensional gravity.- Distance of matter inside an Einstein-Strauss vacuole.- Conformally stationary cosmological models.- L-Rigidity in Newtonian approximation.- Presymplectic manifolds and conservation laws.- On a project for a repetition of the Michelson - Morley experiment.- Nonlinear evolution of cosmological inhomogeneities.- The great attractor and the COBEquadrupole.