TL;DR
This paper investigates the conditions under which regular black holes can exist in a brane world model, highlighting the role of bulk influence in spherical and rotating cases.
Contribution
It demonstrates that constant bulk influence can produce regular black holes in spherical symmetry but not with rotation, requiring a nonconstant influence for rotating cases.
Findings
Constant bulk influence yields regular spherical black holes.
Rotating black holes require nonconstant bulk influence.
Regular black holes are restricted to spherical symmetry in this model.
Abstract
In this work, we show that regular black holes in a Randall-Sundrum-type brane world model are generated by the nonlocal bulk influence, expressed by a constant parameter in the brane metric, only in the spherical case. In the axial case (black holes with rotation), this influence forbids them. A nonconstant bulk influence is necessary to generate regular black holes with rotation in this context.
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