New black holes in the brane-world?

TL;DR

This paper introduces two new families of analytic black hole solutions in five-dimensional brane-world models, exploring their properties and observational constraints, and identifying conditions for regularity and causal structure differences.

Contribution

The authors present novel analytic solutions for black holes in five-dimensional brane-world scenarios, extending previous models and analyzing their causal and observational properties.

Findings

Solutions reduce to Schwarzschild for beta=1

Regular black hole solutions exist for eta>0

Observational constraints require |eta-1| | o|<<1

Abstract

It is known that the Einstein field equations in five dimensions admit more general spherically symmetric black holes on the brane than four-dimensional general relativity. We propose two families of analytic solutions (with g_tt\not=-1/g_rr), parameterized by the ADM mass and the PPN parameter beta, which reduce to Schwarzschild for beta=1. Agreement with observations requires |\beta-1| |\eta|<<1. The sign of eta plays a key role in the global causal structure, separating metrics which behave like Schwarzschild (eta<0) from those similar to Reissner-Nordstroem (eta>0). In the latter case, we find a family of black hole space-times completely regular.