A Note on the Positive Constant Curvature Space

Details A Note on the Positive Constant Curvature Space A Note on the Positive Constant Curvature Space

2002-07-06

arxiv.org/abs/hep-th/0207053v2

Phys.Lett. B552 (2003) 66-71

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 12 pages with two eps figures, to appear in PLB

Scientific paper

10.1016/S0370-2693(02)03096-4

We construct a positive constant curvature space by identifying some points along a Killing vector in a de Sitter Space. This space is the counterpart of the three-dimensional Schwarzschild-de Sitter solution in higher dimensions. This space has a cosmological event horizon, and is of the topology ${\cal M}_{D-1}\times S^1$, where ${\cal M}_{D-1}$ denotes a $(D-1)$-dimensional conformal Minkowski spacetime.

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