A topologically flat thick 2-brane on higher dimensional black hole backgrounds
General Relativity and Quantum Cosmology
2011-03-22 v1
Abstract
We present a numerical solution for a topologically flat 2-dimensional thick brane on a higher dimensional, spherically symmetric black hole background. Present solution is the last, missing part of the complete set of solutions for the thickness corrected brane-black hole problem in arbitrary number of dimensions. We show that the 2-dimensional case is special compared to all the higher dimensional solutions in the topologically Minkowskian family as being non-analytic at the axis of the system. We provide the numerical solution in the near horizon region and make a comparison with the infinitely thin case.
Cite
@article{arxiv.1102.3714,
title = {A topologically flat thick 2-brane on higher dimensional black hole backgrounds},
author = {Viktor G. Czinner},
journal= {arXiv preprint arXiv:1102.3714},
year = {2011}
}
Comments
9 pages, 4 figures, to appear in Phys. Rev. D