Global Black Branes (Extended Global Defects Surrounded by Horizons), Brane Worlds and the Cosmological Constant

Details Global Black Branes (Extended Global Defects Surrounded by Horizons), Brane Worlds and the Cosmological Constant Global Black Branes (Extended Global Defects Surrounded by Horizons), Brane Worlds and the Cosmological Constant

2001-12-11

arxiv.org/abs/hep-th/0112085v1

Nucl.Phys. B624 (2002) 327-359

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 5 figures

Scientific paper

10.1016/S0550-3213(01)00657-5

We study global defects coupled to higher-dimensional gravity with a negative cosmological constant. This paper is mainly devoted to studying global black brane solutions which are extended global defects surrounded by horizons. We find series solutions in a few separated regions and confirm numerically that they can be mutually connected. When the world volume of the brane is Ricci-flat, the brane is surrounded by a degenerated horizon, while it is surrounded by two horizons when the world volume has a positive constant curvature. Each solution corresponds to an extremal and a non-extremal state, respectively. Their causal structures resemble those of the Reissner-Nordstr\"{o}m black holes in anti-de Sitter spacetime. However, the non-extremal black brane is not a static object, but an inflating brane. In addition, we briefly discuss a brane world model in the context of the global black branes. We comment on a few thermodynamic properties of the global black branes, and discuss a decrease of the cosmological constant on the brane world through the thermodynamic instability of the non-extremal global black brane.

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