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arXiv · 1006.4424

Thick brane solutions and topology change transition on black hole backgrounds

Viktor G. Czinner
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Abstract

We consider static, axisymmetric, thick brane solutions on higher dimensional, spherically symmetric black hole backgrounds. It was found recently [1], that in cases when the thick brane has more than 2 spacelike dimensions, perturbative approaches break down around the corresponding thin solutions for Minkowski type topologies. This behavior is a consequence of the fact that thin solutions are not smooth at the axis, and for a general discussion of possible phase transitions in the system, one needs to use a non-perturbative approach. In the present paper we provide an exact, numerical solution of the problem both for black hole- and Minkowski type topologies with arbitrary number of brane and bulk dimensions. We also illustrate a topology change transition in the system for a 5-dimensional brane embedded in a 6-dimensional bulk.

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Viktor G. Czinner. 2010-06-23. Thick brane solutions and topology change transition on black hole backgrounds. https://doi.org/10.1103/physrevd.82.024035

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