Instability of a membrane intersecting a black hole
General Relativity and Quantum Cosmology
2009-10-31 v2 Astrophysics
High Energy Physics - Theory
Abstract
The stability of a Nambu-Goto membrane at the equatorial plane of the Reissner-Nordstr{\o}m-de Sitter spacetime is studied. The covariant perturbation formalism is applied to study the behavior of the perturbation of the membrane. The perturbation equation is solved numerically. It is shown that a membrane intersecting a charged black hole, including extremely charged one, is unstable and that the positive cosmological constant strengthens the instability.
Cite
@article{arxiv.gr-qc/0008063,
title = {Instability of a membrane intersecting a black hole},
author = {Susumu Higaki and Akihiro Ishibashi and Daisuke Ida},
journal= {arXiv preprint arXiv:gr-qc/0008063},
year = {2009}
}
Comments
12 pages, 3 figures, to be published in Physical Review D