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arXiv · 1102.3714

A topologically flat thick 2-brane on higher dimensional black hole backgrounds

Viktor G. Czinner
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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.

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Viktor G. Czinner. 2011-02-17. A topologically flat thick 2-brane on higher dimensional black hole backgrounds. https://doi.org/10.1103/physrevd.83.064026

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