Non-singular black-holes on the brane

TL;DR

This paper explores non-singular black-hole solutions in brane world models by relaxing certain conditions, resulting in a class of regular, horizon-admitting, spherically symmetric solutions that generalize the Reissner-Nordstrom black hole.

Contribution

It introduces a new class of non-singular, static, spherically symmetric brane solutions by relaxing the scalar curvature condition while maintaining the null energy condition.

Findings

Derived a regular, horizon-admitting black hole solution on the brane.

Extended the Reissner-Nordstrom solution to non-singular cases.

Demonstrated the existence of non-singular black holes in brane world models.

Abstract

We investigate the possibility of obtaining non-singular black-hole solutions in the brane world model by solving the effective field equations for the induced metric on the brane. The Reissner-Nordstrom solution on the brane was obtained by Dadhich etal by imposing the null energy condition on the 3-brane for a bulk having non zero Weyl curvature. In this work, we relax the condition of vanishing scalar curvature $R$, however, retaining the null condition. We have shown that it is possible to obtain class of static non-singular spherically symmetric brane space-times admitting horizon. We obtain one such class of solution which is a regular version of the Reissner-Nordstrom solution in the standard general relativity.