Einstein Branes

TL;DR

This paper extends standard p-brane solutions by allowing the worldvolume to be a curved Einstein space, such as (anti-)de Sitter space, using a method that reduces p-branes to domain walls and then introduces curvature.

Contribution

It introduces a novel approach to generalize p-brane solutions with curved worldvolumes, including de Sitter spaces, and explores their near-horizon scaling limits and broader brane correspondences.

Findings

Constructed curved Einstein space p-brane solutions.

Identified near-horizon scaling limits of these solutions.

Extended domain wall/cosmology correspondence to timelike/spacelike branes.

Abstract

We generalise the standard, flat p-brane solutions sourced by a dilaton and a form field, by taking the worldvolume to be a curved Einstein space, such as (anti-)de Sitter space. Our method is based on reducing the p-branes to domain walls and then allowing these domain walls to be curved. For de Sitter worldvolumes this extends some recently constructed warped de Sitter non-compactifications. We restrict our analysis to solutions that possess scaling behavior and demonstrate that these scaling solutions are near-horizon limits of a more general solution. Finally, our framework can equally be used for spacelike branes and the uplift of the domain wall/cosmology correspondence becomes in this context a more general timelike/spacelike brane correspondence.