Complexity and action for warped AdS black holes

Giuseppe Nardelli; Matteo Grassi; Nicolo Zenoni; Roberto Auzzi; Stefano Baiguera

arxiv: 1806.06216 · v2 · pith:WVET6OFNnew · submitted 2018-06-16 · ✦ hep-th

Complexity and action for warped AdS black holes

Roberto Auzzi , Stefano Baiguera , Matteo Grassi , Giuseppe Nardelli , Nicolo Zenoni This is my paper

classification ✦ hep-th

keywords actioncomplexityblackconjectureholeswarpedagreementasymptotic

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The Complexity=Action conjecture is studied for black holes in Warped AdS$_3$ space, realized as solutions of Einstein gravity plus matter. The time dependence of the action of the Wheeler-DeWitt patch is investigated, both for the non-rotating and the rotating case. The asymptotic growth rate is found to be equal to the Hawking temperature times the Bekenstein-Hawking entropy; this is in agreement with a previous calculation done using the Complexity=Volume conjecture.

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