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 $Ad{S}_{d+1}$. 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 $\ge$ 4. We obtain a form of holographic entanglement first law in the presence of both energy and angular momentum.

arXiv comment14 Pages, 7 figures

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Cited by in corpus (11)

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• Holographic entanglement density for spontaneous symmetry breaking
• Rotation effect on the deconfinement phase transition in holographic QCD
• Rotation effect on the spectral function of heavy vector mesons in holographic QCD
• String breaking and running coupling of $\mathrm{Q}\bar{\mathrm{Q}}$ in a rotating media from holography
• Long-range correlation of CMB temperature fluctuations from the holographic entanglement entropy
• Chiral Condensation and Chiral Phase Diagram under Combined Rotation and Chemical Potential in Holographic QCD
• The Influence of Angular Momentum and Chemical Potential on Holographic Entanglement Entropy
• Fluctuations and non-Gaussianity in de Sitter spacetime from holographic entanglement entropy