Brane World in a Topological Black Hole Bulk

Abstract

We consider a static brane in the background of a topological black hole, in arbitrary dimensions. For hyperbolic horizons, we find a solution only when the black hole mass assumes its minimum negative value. In this case, the tension of the brane vanishes, and the brane position coincides with the location of the horizon. For an elliptic horizon, we show that the massless mode of Randall-Sundrum is recovered in the limit of large black hole mass.

Latex, 8 pages, v2: Additional references, to appear in MPLA

References in corpus (4)

• Gravitational Lorentz Violations and Adjustment of the Cosmological Constant in Asymmetrically Warped Spacetimes
• CFT and Entropy on the Brane
• Branes on Charged Dilatonic Backgrounds: Self-Tuning, Lorentz Violations and Cosmology
• The Cardy-Verlinde Formula and Topological AdS-Schwarzschild Black Holes

Cited by in corpus (15)

• Black holes with non-minimal derivative coupling
• Quest for Localized 4-D Black Holes in Brane Worlds
• Brane World Cosmology with Gauss-Bonnet Interaction
• Randall-Sundrum versus holographic cosmology
• Holographic Complexity Of Cold Hyperbolic Black Holes
• Spontaneous fragmentation of topological black holes
• Schwarzschild Black Branes and Strings in higher-dimensional Brane Worlds
• Casimir densities for a spherical brane in Rindler-like spacetimes
• Stable black holes in shift-symmetric Horndeski theories
• Surface Casimir densities on a spherical brane in Rindler-like spacetimes
• One-loop effective potential from higher-dimensional AdS black holes
• Casimir densities for two spherical branes in Rindler-like spacetimes
• Brane-worlds in T-dual Bulks
• Aspects of Quantum Gravity in Cosmology
• Bouncing cosmological solutions and their stability