New stable phase of non uniform black strings in ${AdS}_d$

Details New stable phase of non uniform black strings in ${AdS}_d$ New stable phase of non uniform black strings in ${AdS}_d$

2008-08-20

arxiv.org/abs/0808.2752v2

JHEP 0812:085,2008

Physics

High Energy Physics

High Energy Physics - Theory

Results extended. 14 pages, 5 figures

Scientific paper

10.1088/1126-6708/2008/12/085

We consider the non uniform $AdS$ black string equations in arbitrary number of dimension in a perturbative approach up to order 2 and in a non perturbative. We restrict the study in the perturbative approach to the backreacting modes, since they provide the first relevant corrections on the thermodynamical quantities of the solutions. We also present some preliminary results in the construction of non-perturbative solutions, in particular, we present a first part of the non uniform - uniform black string phase diagram. Our results suggests the existence of a new stable phase for $AdS$ non uniform black strings, namely long non uniform black string, with the extra direction length of the order of the $AdS$ curvature.

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