Cosmologies inside hyperbolic black holes

TL;DR

This paper explores hyperbolic slices inside black holes to model cosmologies holographically, overcoming previous limitations of flat slices and connecting with Euclidean wormhole research.

Contribution

It demonstrates that using hyperbolic slices inside black holes allows for consistent cosmological models in higher dimensions, expanding the scope of holographic cosmology.

Findings

Hyperbolic slices avoid limitations of flat slices in higher dimensions.

Connections established between black hole cosmologies and Euclidean wormholes.

Provides a new framework for holographic cosmology models.

Abstract

Models with closed FRW cosmologies on the worldvolume of a constant-tension brane inside a black hole provide an interesting setup for studying cosmology holographically. However, in more than two worldvolume dimensions, there are limitations on such models with flat spatial slices. I show that these limitations can be avoided by considering instead hyperbolic slices. This also naturally makes contact with previous work on Euclidean wormholes.