Non-singular black-holes on the brane

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.

8 pages, References added, Version to appear in Int. J. Mod. Phys. D

References in corpus (4)

• An Alternative to Compactification
• Gravity in the Randall-Sundrum Brane World
• Black holes on the brane
• Negative Energy Condition and Black Holes on the Brane

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