Ehlers J. Relativity Theory and Astrophysics. 1. Relativity and Cosmology

American Mathematical Society, USA. – 1967. – 307 p. – ISBN: 0821811080Gravitation is considered to be of fundamental importance to physics and astrophysics for the following two reasons: (1) All neutral, structureless test particles move equally in the neighborhood of massive bodies (Eotvos-Dicke Experiment), hence the gravitational field cannot be separated unambiguously from the inertial field (Einstein's principle of equivalence). Therefore and because of the approximate local validity of the special theory of relativity, space-time is represented in Einstein's general theory of relativity as a pseudo-Riemannian manifold whose curvature measures the inhomogeneity of the gravitational field. Almost all physical laws require for their mathematical formulation a metric and a linear connection; these structures are physically defined by the behavior of particles1 which, unavoidably, are subject to gravitational forces. Consequently the gravitational field influences, in principle, all physical processes.Relativity
Lectures on General Relativity Theory
Comparison of Theory and Observation in General Relativity
Experimental Tests of General Relativity. Radar
Gravitational Waves
Measurements of Space Time Curvature and Search for Gravitational Radiation
Conserved Quantities and Conformal Structure in General Relativity
Taub-Nut Space as a Counterexample to Almost Anything
Relativistic Hydrodynamics
Gravitational Collapse
Dragging of Inertial Frames by Rotating Masses
Cosmology
Lectures on Quasi-Stellar Objects
Cosmology
A Unified Approach to Cosmology
Jeans' Formula for Gravitational Instability
Microwave Radiation from the Big Bang