Schwarzschild-De Sitter black holes in 4+1 dimensional bulk

TL;DR

This paper constructs a 4+1 dimensional bulk solution with a 3+1 dimensional brane exhibiting a Schwarzschild-de Sitter black hole, linking bulk geometry to cosmological models with a linear warp factor.

Contribution

It provides an explicit static bulk solution with a linear warp factor that models a Schwarzschild-de Sitter universe on the brane, connecting bulk geometry to cosmological backgrounds.

Findings

Bulk solution with linear warp factor constructed

Relation between bulk Schwarzschild-dS_{4} and brane universe established

Implication for brane-world cosmology and big bang models

Abstract

We construct a static solution for 4+1 dimensional bulk such that the 3+1 dimensional world has a linear warp factor and describes the Schwarzschild-dS_{4} black hole. For m=0 this four dimensional universe and Friedmann Robertson Walker universe are related with an explicit coordinate transformation. We emphasize that for linear warp factors the effect of bulk on the brane world shows up as the dS_{4} background which is favored by the big bang cosmology.