English

Evolution of a black hole-inhabited brane close to reconnection

General Relativity and Quantum Cosmology 2011-02-01 v2

Abstract

Last moments of a mini black hole escaping from a brane are studied. It is argued that at the point of reconnection, where the piece of the brane attached to the black hole separates from the rest, the worldsheet of the brane becomes isotropic (light-like). The degenerate mode of evolution, with the worldsheet isotropic everywhere, is investigated. In particular, it is shown that the brane approaches the reconnection point from below if it reconnects within a certain limit distance, and from above if it reconnects beyond that distance. The rate of relaxation to the degenerate mode is established. If the dimension of the brane is pp, the nondegeneracy, measured by the determinant of the relevant part of the induced metric tensor, falls down as (latitudinal angle)2(p1)^{2(p - 1)}.

Keywords

Cite

@article{arxiv.1008.1158,
  title  = {Evolution of a black hole-inhabited brane close to reconnection},
  author = {Vladimír Balek and Branislav Novotný},
  journal= {arXiv preprint arXiv:1008.1158},
  year   = {2011}
}

Comments

20 pages, 4 figures