ar X iv : g r - qc / 0 10 80 43 v 2 2 0 A ug 2 00 1 Topology and the Cosmic Microwave

ar X iv : g r - qc / 0 10 80 43 v 1 1 6 A ug 2 00 1 Topology and the Cosmic Microwave

Nature abhors an infinity. The limits of general relativity are often signaled by infinities: infinite curvature as in the center of a black hole, the infinite energy of the singular big bang. We might be inclined to add an infinite universe to the list of intolerable infinities. Theories that move beyond general relativity naturally treat space as finite. In this review we discuss the mathemat...

ar X iv : g r - qc / 0 50 80 08 v 1 1 A ug 2 00 5 Observables for the polarized Gowdy model

We give an explicit characterization of all functions on the phase space for the polarized Gowdy 3-torus spacetimes which have weakly vanishing Poisson brackets with the Hamiltonian and momentum constraint functions.

ar X iv : g r - qc / 0 40 80 17 v 2 2 4 A ug 2 00 4 Schwarzschild and Synge once again

We complete the historical overview about the geometry of a Schwarzschild black hole at its horizon by emphasizing the contribution made by J. L. Synge in 1950 to its clarification. KEY: Schwarzschild solution; Synge; black hole; horizon

ar X iv : g r - qc / 0 51 01 27 v 1 3 1 O ct 2 00 5 Imprints of Spacetime Topology in the Hawking - Unruh Effect

ar X iv : g r - qc / 0 20 80 16 v 1 7 A ug 2 00 2 Space - Based Gravity Detector for a Space Laboratory

A space-based superconducting gravitational low-frequency wave detector is considered. Sensitivity of the detector is sufficient to use the detector as a partner of other contemporary low-frequency detectors like LIGO and LISA. This device can also be very useful for experimental study of other effects predicted by theories of gravitation.