Brane-World Black Hole Solutions via a Confining Potential

TL;DR

This paper derives spherically symmetric black hole solutions in a brane-world model using a confining potential, revealing a cosmological constant-like effect and a potential explanation for galaxy rotation curves without dark matter.

Contribution

It introduces new brane-world black hole solutions that incorporate a confining potential, linking extra-dimensional effects to observable cosmological phenomena.

Findings

A Schwarzschild-de Sitter solution mimics a cosmological constant effect.

A potential explanation for galaxy rotation curves without dark matter.

Extra terms in brane-world equations can account for accelerated expansion.

Abstract

Using a confining potential, we consider spherically symmetric vacuum (static black hole) solutions in a brane-world scenario. Working with a constant curvature bulk, two interesting cases/solutions are studied. A Schwarzschild-de Sitter black hole solution similar to the standard solution in the presence of a cosmological constant is obtained which confirms the idea that an extra term in the field equations on the brane can play the role of a positive cosmological constant and may be used to account for the accelerated expansion of the universe. The other solution is one in which we can have a proper potential to explain the galaxy rotation curves without assuming the existence of dark matter and without working with new modified theories (modified Newtonian dynamics).