Chaplygin-like gas and branes in black hole bulks

TL;DR

This paper investigates brane placement in black hole bulks, revealing that additional matter beyond brane tension is needed, and identifies Chaplygin-like fluids as key components in specific geometries.

Contribution

It demonstrates that branes in certain black hole bulks require exotic matter and introduces novel state equations, including a Chaplygin gas form, for branes near horizons.

Findings

Branes cannot be supported by tension alone in BHTZ and Schwarzschild-AdS bulks.

Chaplygin gas-like equations emerge in BHTZ bulk branes.

New state equations are found for Schwarzschild-AdS branes near the horizon.

Abstract

We explore the possibility to locate a brane in black hole bulks. We study explicitly the cases of BHTZ and Schwarzschild-anti de Sitter (AdS) black holes. Our result is that in these cases branes cannot be supported by brane tension alone and it is necessary to introduce other forms of matter on the brane. We find classes of perfect fluid solutions obeying to peculiar state equations. For the case of BHTZ bulk geometry the state equation takes exactly the form of a ``Chaplygin gas'', which is relevant in the brane context. In the Schwarzschild-AdS case we find new state equations which reduce to the Chaplygin form when the brane is located near the horizon.