Thermodynamics in Rotating Anti-de Sitter Black Holes with Massive Scalar Field in Three Dimensions

Abstract

We investigate the tendency in variations of the dual CFT${}_2$ when a rotating AdS${}_3$ black hole changes by fluxes transferred by the scattering of a massive scalar field according to the AdS/CFT correspondence. The conserved quantities of the black hole are definitely constrained by the extremal condition. Moreover, the laws of thermodynamics provide a direction for the changes in the conserved quantities, so the black hole cannot be extremal under the scattering. This is naturally preferred. By the relationship between the rotating AdS${}_3$ black hole and dual CFT${}_2$, we find that such changes in the black hole constrain variations in eigenstates of the dual CFT${}_2$. Furthermore, the tendency in the variations is closely related to the laws of thermodynamics.

13 pages, 9 figures

References in corpus (16)

• Building an AdS/CFT superconductor
• Test bodies and naked singularities: is the self-force the cosmic censor?
• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• Weak Cosmic Censorship: As Strong as Ever
• Destroying extremal Kerr-Newman black holes with test particles
• Overspinning a Kerr black hole: the effect of self-force
• Chiral anomalies and AdS/CMT in two dimensions
• Overcharging higher-dimensional black holes with point particles
• Can test fields destroy the event horizon in the Kerr-Taub-NUT spacetime?
• Weak cosmic censorship conjecture for Kerr-Taub-NUT black hole with test scalar field and particle
• Examining the weak cosmic censorship conjecture by gedanken experiments for Kerr-Sen black holes
• Weak Cosmic Censorship in Kerr-Sen Black Hole under Charged Scalar Field
• Kerr-Newman black holes can be generically overspun
• Violations of the weak cosmic censorship conjecture in the higher dimensional $f(R)$ black holes with pressure
• Test fields cannot destroy extremal de Sitter black holes
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions

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• Weak Cosmic Censorship Conjecture in Kerr-Newman-(Anti-)de Sitter Black Hole with Charged Scalar Field
• Validity of Thermodynamic Laws and Weak Cosmic Censorship for AdS Black Holes and Black Holes in a Cavity
• Weak Cosmic Censorship Conjecture in Myers-Perry Black Hole with Separability
• Thermodynamics of Warped Anti-de Sitter Black Holes under Scattering of Scalar Field