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Abstract

Phases of AdS higher dimensional black strings

We present recent results on the phases of AdS higher dimensional black strings. The AdS uniform black string is known to suffer from a Gregory-Laflamme instability, the uniform phase is connected to a non uniform string phase. We present the first steps in the phase diagram by constructing perturbatively the non uniform black string. Moreover, recent results on the solution to the full system of partial differential equations give hints for the existence of a localized black hole phase in higher dimensional AdS.

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