Black Holes on the Brane with Induced Gravity

TL;DR

This paper investigates black hole solutions on a braneworld with induced gravity, revealing modifications to classical solutions and Newton's law due to bulk effects and non-local influences.

Contribution

It provides new exterior and interior solutions for braneworld black holes including effects of intrinsic curvature and non-local bulk contributions.

Findings

Exterior solutions include Schwarzschild-(A)dS(4) forms with modifications

Non-zero Weyl tensor introduces corrections to black hole metrics

Newton's law is modified at small and large distances

Abstract

An analysis of a spherically symmetric braneworld configuration is performed when the intrinsic curvature scalar is included in the bulk action. In the case when the electric part of the Weyl tensor is zero, all the exterior solutions are found; one of them is of the Schwarzschild-(A)dS(4) form, which is matched to a modified Oppenheimer-Volkoff interior solution. In the case when the electric part of the Weyl tensor is non zero, the exterior Schwarzschild-(A)dS(4) black hole solution is modified receiving corrections from the non-local bulk effects. A non-universal gravitational constant arises, depending on the density of the considered object and the Newton's law is modified for small and large distances; however, the conventional limits are easily obtained.