Inflating p-branes

TL;DR

This paper finds unique black p-brane solutions in Einstein gravity representing inflating braneworlds with regular horizons, which are not asymptotically flat but feature global deficit angles.

Contribution

It introduces a method to derive inflating p-brane solutions with regular horizons and analyzes their global geometric properties.

Findings

Existence of a unique black p-brane solution with a regular horizon.

Solutions exhibit global deficit angles rather than asymptotic flatness.

Application of dynamical systems techniques to braneworld solutions.

Abstract

We look for solutions in Einstein gravity corresponding to inflating braneworlds of arbitrary dimension and co-dimension. These solutions correspond to isolated sources (no long range fields). Using dynamical systems techniques, we show that there exists a unique solution corresponding to a black $p$-brane with a regular horizon at the location of the brane. The solution is {\it not} however asymptotically flat, but has global deficit angles.