English

Rotating Black Holes on Codimension-2 Branes

High Energy Physics - Theory 2008-11-26 v1 Astrophysics General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

Abstract

It has recently been demonstrated that certain types of non-tensional stress-energy can live on tensional codimension-2 branes, including gravitational shockwaves and small Schwarzschild black holes. In this note we generalize the earlier Schwarzschild results, and construct the exact gravitational fields of small rotating black holes on a codimension-2 brane. We focus on the phenomenologically interesting case of a three-brane embedded in a spacetime with two compactified extra dimensions. For a nonzero tension on the brane, we verify that these solutions also show the ``lightning rod'' effect found in the Schwarzschild solutions, the net effect of which is to rescale the fundamental Planck mass. This allows for larger black hole parameters, such as the event horizon, angular momentum, and lifetime than would be naively expected for a tensionless brane. It is also found that a black hole with angular momentum pointing purely along the brane directions has a smaller horizon angular velocity than the corresponding tensionless case, while a hole with bulk components of angular momentum has a larger angular velocity.

Keywords

Cite

@article{arxiv.0708.1016,
  title  = {Rotating Black Holes on Codimension-2 Branes},
  author = {Derrick Kiley},
  journal= {arXiv preprint arXiv:0708.1016},
  year   = {2008}
}

Comments

7 pages, uses revtex

R2 v1 2026-06-21T09:05:38.837Z