English

A note on degeneracy, marginal stability and extremality of black hole horizons

General Relativity and Quantum Cosmology 2012-08-28 v2

Abstract

Given a stationary axisymmetric black hole horizon admitting a section characterised as a strictly future stable marginally outer trapped surface, we extend the equivalence between the notions of horizon degeneracy and marginal stability to the fulfillment, under the dominant energy condition, of the A=8\pi |J| geometric relation between the area AA and the angular momentum J of a horizon section.

Keywords

Cite

@article{arxiv.1206.1271,
  title  = {A note on degeneracy, marginal stability and extremality of black hole horizons},
  author = {José Luis Jaramillo},
  journal= {arXiv preprint arXiv:1206.1271},
  year   = {2012}
}

Comments

6 pages, no figures, updated to match published version