Instability of a two-dimensional extremal black hole
High Energy Physics - Theory
2009-10-28 v1
Abstract
We consider the perturbation of tachyon about the extremal ground state of a two-dimensional (2D) electrically charged black hole. It is found that the presenting potential to on-coming tachyonic wave takes a double-humped barrier well. This allows an exponentially growing mode with respect to time. This extremal ground state is classically unstable. We conclude that the 2D extremal electrically charged black hole cannot be a candidate for the stable endpoint of the Hawking evaporation.
Keywords
Cite
@article{arxiv.hep-th/9510128,
title = {Instability of a two-dimensional extremal black hole},
author = {Y. S. Myung and Jin Young Kim},
journal= {arXiv preprint arXiv:hep-th/9510128},
year = {2009}
}
Comments
9 pages 2 figures, RevTeX, to be published in Phys. Rev D, to obtain gifures contact Author ([email protected])