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Black holes on thick branes
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The interplay between topological defects (branes) and black holes has been a subject of recent study, motivated in part by interest in brane-world scenarios. In this paper we analyze in detail the description of a black hole bound to a domain wall (a two-brane in four dimensions), for which an exact description in the limit of zero wall thickness has been given recently. We show how to smooth this singular solution with a thick domain wall. We also show that charged extremal black holes of a size (roughly) smaller than the brane thickness expel the wall, thereby extending the phenomenon of flux expulsion. Finally, we analyze the process of black hole nucleation on a domain wall, and argue that it is preferred over a previously studied mechanism of black hole nucleation away from the wall.
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EMPARAN GARCÍA DE SALAZAR, Roberto A., GREGORY, Ruth and SANTOS, Caroline. Black holes on thick branes. Physical Review D. 2001. Vol. 63, num. 10, pags. 104022-1-104022-12. ISSN 0556-2821. [consulted: 26 of July of 2026]. Available at: https://hdl.handle.net/2445/12370