Extending the geometric deformation: New black hole solutions

Abstract

We use the extension of the Minimal Geometric Deformation approach, recently developed to investigate the exterior of a self-gravitating system in the Braneworld, to identified a master solution for the deformation undergone by the radial metric component when time deformations are produced by bulk gravitons. A specific form for the temporal deformation is used to generate a new exterior solution with a tidal charge $Q$. The main feature of this solution is the presence of higher-order terms in the tidal charge, thus generalizing the well known tidally charged solution. The horizon of the black hole lies inside the Schwarzschild radius, $h<r_s=2\mathcal{M}$, indicating that extra-dimensional effects weaken the gravitational field.

Based on the contributed lecture given at the 9th Alexander Friedmann International Seminar, June 21-27, 2015, St. Petersburg, Russia

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