Dielectric analog space-times

Space-times with Torsion

We study models of axi-dilaton gravity in space-time geometries with torsion. We discuss conformal rescaling rules in both Riemannian and non-Riemannian formulations. We give static, spherically symmetric solutions and examine their singularity behaviour. PACS numbers: 04.50.+h, 04.20.Jb, 04.70.Bw E.mail: [email protected] E.mail: [email protected] 1

Five-Dimensional Space-Times

Space-times and Holonomy Groups

This paper discusses the full holonomy group for space-time manifolds in Ein-stein's general relativity. Some applications of holonomy theory to Weyl manifolds are presented.

Holography in General Space-times

We provide a background-independent formulation of the holographic principle. It permits the construction of embedded hypersurfaces (screens) on which the entire bulk information can be stored at a density of no more than one bit per Planck area. Screens are constructed explicitly for AdS, Minkowski, and de Sitter spaces with and without black holes, and for cosmological solutions. The properti...

Space-Times Admitting Isolated Horizons

We characterize a general solution to the vacuum Einstein equations which admits isolated horizons. We show it is a non-linear superposition – in precise sense – of the Schwarzschild metric with a certain free data set propagating tangentially to the horizon. This proves Ashtekar’s conjecture about the structure of spacetime near the isolated horizon. The same superposition method applied to th...