Maximally extended, explicit and regular coverings of the Schwarzschild - de Sitter vacua in arbitrary dimension

Abstract

Maximally extended, explicit and regular coverings of the Schwarzschild - de Sitter family of vacua are given, first in spacetime (generalizing a result due to Israel) and then for all dimensions $D$ (assuming a $D-2$ sphere). It is shown that these coordinates offer important advantages over the well known Kruskal - Szekeres procedure.

12 pages revtex4 5 figures in color. Higher resolution version at http://www.astro.queensu.ca/~lake/regularcoordinates.pdf

References in corpus (2)

• On the quantum stress tensor for extreme 2D Reissner-Nordstrom black holes
• Static Ricci-flat 5-manifolds admitting the 2-sphere

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• Some general properties of the renormalized stress-energy tensor for static quantum states on (n+1)-dimensional spherically symmetric black holes
• IDEAL characterization of higher dimensional spherically symmetric black holes
• Correlations across horizons in quantum cosmology
• Some notes on the Kruskal - Szekeres completion
• Constructing Maximal Extensions of the Vaidya Metric in Israel Coordinates: I. Integration of the Field Equations