Entanglement Thermodynamics of the Generalized Charged BTZ Black Hole

Abstract

In this paper, we investigate the entanglement entropy for the generalized charged BTZ black hole through the $Ad{S}_3/CF{T}_2$ correspondence. Using the holographic description of the entanglement entropy for the strip-subsystem in boundary $CF{T}_2$, we will find the first law-like relation between the variation of holographic entanglement entropy and the variation of energy of the subsystem in terms of the mass and the electric charge up to the second order. We also obtain appropriate counterterms to renormalize the energy tensor associated with the bulk on-shell actions.

6 pages

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Cited by in corpus (8)

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• Entanglement thermodynamics for charged black holes
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Time-evolution of holographic entanglement entropy and metric perturbations
• Thermodynamical and dynamical properties of Charged BTZ Black Holes
• Holographic entanglement thermodynamics for higher dimensional charged black hole