Full Description
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.
Contents
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.
