Abstract
We consider nonuniform black strings inside their event horizon. We present numerical evidence, that the singularity touches the horizon as the horizon topology changing transition is reached.
Highlights
(Dated: December 11, 2018) We consider nonuniform black strings inside their event horizon
Black holes which are localized in the compact dimensions have the horizon topology of a (D−2)-sphere, SD−2, and are called ‘caged’ black holes [1, 2]
As shown by Gregory and Laflamme (GL) [5], such ‘uniform’ black strings (UBS), which do not depend on the compact coordinate, become unstable below a critical value of the mass
Summary
Burkhard Kleihaus ZARM, Universitat Bremen, Am Fallturm, D–28359 Bremen, Germany. Jutta Kunz Institut fur Physik, Universitat Oldenburg, Postfach 2503, D–26111 Oldenburg, Germany (Dated: December 11, 2018) We consider nonuniform black strings inside their event horizon. Horowitz and Maeda [6] argued that the horizon of UBS could not pinch off in finite affine time They conjectured that the solutions would settle down to nontranslationally invariant solutions with the same horizon topology as the original configurations, ‘nonuniform’ black strings (NUBS). Emerging from the UBS branch at the marginally stable solution, the NUBS form a branch of solutions along which the deformation of the horizon along the compact direction perpertually increases. A deep question associated with the envisaged transition is whether it is associated with the occurrence of a naked singularity and a violation of cosmic censorship It appears possible, that as the black string pinches, a naked singularity is formed, because the singularity, which orginally winds the compact dimension, gets broken [1].
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