2019
DOI: 10.1016/j.nuclphysb.2019.114822
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Holographic entanglement first law for d + 1 dimensional rotating cylindrical black holes

Abstract: We calculate the holographic entanglement entropy for the rotating cylindrical black holes in d +1 dimensions as perturbations over AdS d+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 en… Show more

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Cited by 10 publications
(10 citation statements)
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“…In refs. [81][82][83][84], the authors obtain the non-conformal rotating black hole solution by doing a coordinate transformation to the static black hole solution. We think this scenario might be a good first approximation, since it must be a solution to the Einstein equation, due to symmetry of the action.…”
Section: Jhep07(2021)132mentioning
confidence: 99%
See 2 more Smart Citations
“…In refs. [81][82][83][84], the authors obtain the non-conformal rotating black hole solution by doing a coordinate transformation to the static black hole solution. We think this scenario might be a good first approximation, since it must be a solution to the Einstein equation, due to symmetry of the action.…”
Section: Jhep07(2021)132mentioning
confidence: 99%
“…Fortunately, if one only tries to get the qualitative behavior of the rotating matter at a fixed radius, the scenario used in refs. [80][81][82][83][84] might provide a first approximation. According to refs.…”
Section: Extend the Emd System To The Rotating Casementioning
confidence: 99%
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“…In the AdS/CFT correspondence language, perturbing the entropy means adding the pure AdS geometry with small metric perturbation. Since the entanglement entropy shares similar properties with the thermodynamical counterpart, such as the positivity of the relative entropy, many suggest [28][29][30][31][32][33][34] that entanglement obeys similar laws with the ones in thermodynamics. The first law is analogous to the T dS equation and it is widely discussed that the change of entanglement entropy may correspond to the change of modular Hamiltonian [33,35].…”
Section: Introductionmentioning
confidence: 99%
“…The entanglement temperature rising from the holographic entanglement is related to the usual thermal energy in low-energy gapless CFT systems [26,27]. There are vast research literature studying the thermodynamics aspects of entanglement from entropy perturbation, such as [28][29][30][31][32][33] (for the extended entanglement thermodynamics, see [34]). In the AdS/CFT correspondence language, perturbing the entropy means adding the pure AdS geometry with small metric perturbation.…”
Section: Introductionmentioning
confidence: 99%