Non Uniform Black Strings and Critical Dimensions in $AdS_d$

Details Non Uniform Black Strings and Critical Dimensions in $AdS_d$ Non Uniform Black Strings and Critical Dimensions in $AdS_d$

2009-04-14

arxiv.org/abs/0904.2149v1

JHEP 0907:035,2009

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 5 figures

Scientific paper

10.1088/1126-6708/2009/07/035

We study the equations of black strings in spacetimes of arbitrary dimensions with a negative cosmological constant and construct numerically non uniform black strings solutions. Our results suggest the existence of a localised black hole in asymptotically locally $AdS$ spacetime. We also present evidences for a dependence of the critical dimension on the horizon radius.The critical dimension represents the dimension where the order of the phase transition between uniform and non uniform black string changes. Finally, we argue that both, the regular asymptotically locally $AdS$ solution and $AdS$ black string solutions with a very small horizon radius, present a negative tension. This turns out to be an unexpected feature of the solutions.

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