A Note on the Positive Constant Curvature Space

Abstract

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 ${\mathcal{M}}_{D-1}\times S^1$, where ${\mathcal{M}}_{D-1}$ denotes a $(D-1)$-dimensional conformal Minkowski spacetime.

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

References in corpus (3)

• Bekenstein bounds in de Sitter and flat space
• Bekenstein Bound, Holography and Brane Cosmology in Charged Black Hole Backgrounds
• Constant Curvature Black Hole and Dual Field Theory

Cited by in corpus (3)

• Dynamical symmetry breaking in Gauge-Higgs unification of 5D $\mathcal{N}=1$ SUSY theory
• Hawking temperature for constant curvature black bole and its analogue in de Sitter space
• Mapping Hawking temperature in the spinning constant curvature black hole spaces into Unruh temperature