Extending the geometric deformation: New black hole solutions

Understand

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, $h<r_s=2\,{\cal M}$, indicating that extra-dimensional effects weaken the gravitational field.