For cylindrical black strings, NED Lagrangians with a Maxwell weak-field limit cannot produce regular purely electric or dyonic cores; regular magnetic Bardeen/Hayward analogues exist but violate causality near the axis.
Quest for Localized 4-D Black Holes in Brane Worlds
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abstract
We investigate the possibility of obtaining localized black hole solutions in brane worlds by introducing a dependence of the four-dimensional line--element on the extra dimension. An analysis, performed for the cases of an empty bulk and of a bulk containing either a scalar or a gauge field, reveals that no conventional type of matter can support such a dependence. Considering a particular ansatz for the five-dimensional line--element that corresponds to a black hole solution with a ``decaying'' horizon, we determine the bulk energy--momentum tensor capable of sustaining such a behaviour. It turns out that an exotic, shell-like distribution of matter is required. For such solutions, the black hole singularity is indeed localized near the brane and the spacetime is well defined near the AdS horizon, in contrast to the behaviour found in black string type solutions.
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In ghost-free two-scalar f(R) thick branes, internal structure produces no narrow real-axis tensor resonances; quasinormal modes are broad with quality factors 0.9-1.9.
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On regular black string spacetimes in nonlinear electrodynamics
For cylindrical black strings, NED Lagrangians with a Maxwell weak-field limit cannot produce regular purely electric or dyonic cores; regular magnetic Bardeen/Hayward analogues exist but violate causality near the axis.
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Two-scalar-field $f(R)$ Thick Branes, Gravitational Resonances and Quasinormal Modes
In ghost-free two-scalar f(R) thick branes, internal structure produces no narrow real-axis tensor resonances; quasinormal modes are broad with quality factors 0.9-1.9.