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

TL;DR

This paper investigates higher-dimensional global black branes with horizons in anti-de Sitter space, revealing their structure, causal properties, and implications for brane world models and the cosmological constant problem.

Contribution

It provides new series solutions for global black branes, analyzes their causal structures, and explores their thermodynamic properties and potential role in cosmology.

Findings

Global black branes can have degenerated or multiple horizons depending on curvature.

Non-extremal black branes are inflating, not static, in the studied models.

Thermodynamic instability may lead to a decrease in the cosmological constant.

Abstract

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.