Holographic entanglement first law for d + 1 dimensional rotating cylindrical black holes

We calculate the holographic entanglement entropy for the rotating cylindrical black holes in d+1 dimensions as perturbations over AdSd+1. This is accomplished based on the first order variation of the area functional in arbitrary dimensions. For these types of black holes, the angular momentum appe...

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Bibliographic Details
Main Authors: Hamideh Nadi, Behrouz Mirza, Zeinab Sherkatghanad, Zahra Mirzaiyan
Format: Article
Language:English
Published: Elsevier 2019-12-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321319303086
Description
Summary:We calculate the holographic entanglement entropy for the rotating cylindrical black holes in d+1 dimensions as perturbations over AdSd+1. This is accomplished based on the first order variation of the area functional in arbitrary dimensions. For these types of black holes, the angular momentum appears at the first order of the perturbative expansion of the holographic entanglement entropy for spacetime dimensions of d + 1 ≥ 4. We obtain a form of holographic entanglement first law in the presence of both energy and angular momentum.
ISSN:0550-3213