On the existence and dynamics of braneworld black holes

Static braneworld black holes in higher dimensions have been found numerically, and the qualitative argument was shown to have flaws.

“However, static braneworld black holes in higher-dimensions have been found numerically, e.g., [67][68][69][70][71][72], and the qualitative argument was shown to have flaws [69].”

There are several examples of higher-dimensional static braneworld black holes, both analytically and numerically constructed.

“In fact, there are several examples of higher-dimensional static braneworld black holes, both analytically and numerically constructed [67][68][69][70][71][72][201][202][203][204][205][206][207][208].”

The cutoff CFT on the brane does not modify the geometry: the brane geometry consists of a non-trivial zero mode and no excited Kaluza-Klein modes.

“Seemingly then, the cutoff CFT on the brane does not modify the geometry: from the looks of it, the brane geometry consists of a non-trivial zero mode and no excited Kaluza-Klein modes [69].”

Fitzpatrick, Randall, and Wiseman argued the dual quantum black hole description might be consistent with the existence of such static localized black hole solutions.

“Nonetheless, Fitzpatrick, Randall, and Wiseman argued the dual quantum black hole description might be consistent with the existence of such static localized black hole solutions.”

Fitzpatrick, Randall, and Wiseman also argue that the dynamical instability dual to semi-classical evaporation is unlikely to occur.

“Fitzpatrick, Randall, and Wiseman also argue that the dynamical instability dual to semi-classical evaporation is unlikely to occur [69].”

This is consistent with the Schwarzschild black string with a Randall-Sundrum brane construction in [69].

“This is consistent with the Schwarzschild black string with a Randall-Sundrum brane construction in [69].”

As first recognized by Fitzpatrick, Randall, and Wiseman, it is not clear the radiation has access to all of its O(N 2 ) degrees of freedom.

“Thus, as first recognized by Fitzpatrick, Randall, and Wiseman [69], it is not clear the radiation has access to all of its O(N 2 ) degrees of freedom.”