Stability of BTZ black strings

Details Stability of BTZ black strings Stability of BTZ black strings

2008-03-04

arxiv.org/abs/0803.0455v2

Phys.Rev.D78:064001,2008

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, revised version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.78.064001

We study the dynamical stability of the BTZ black string against fermonic and gravitational perturbations. The BTZ black string is not always stable against these perturbations. There exist threshold values for $m^2$ related to the compactification of the extra dimension for fermonic perturbation, scalar part of the gravitational perturbation and the tensor perturbation, respectively. Above the threshold values, perturbations are stable; while below these thresholds, perturbations can be unstable. We find that this non-trivial stability behavior qualitatively agrees with that predicted by a thermodynamical argument, showing that the BTZ black string phase is not the privileged stable phase.

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