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

ar X iv : g r - qc / 0 10 80 43 v 2 2 0 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 60 80 16 v 1 3 A ug 2 00 6 The ω = − 1 crossing of the quintom model with arbitrary potential

Considering the quintom model with arbitrary potential, it is shown that there always exists a solution which evolves from ω > −1 region to ω < −1 region. The problem is restricted to the slowly varying potentials, i.e. the slow-roll approximation. The perturbative solutions of the fields are also obtained.

ar X iv : g r - qc / 0 31 00 91 v 2 1 4 A ug 2 00 6 Semilinear wave equations on the Schwarzschild manifold I : Local Decay Estimates

The semilinear wave equation on the (outer) Schwarzschild manifold is studied. We prove local decay estimates for general (non-radial) data, deriving a-priori Morawetz type inequalities.

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