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.

arXiv comment13 pages, 9 figures

References in corpus (45)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• The Black Hole in Three Dimensional Space Time
• Building an AdS/CFT superconductor
• Holographic Superconductors
• QCD and a Holographic Model of Hadrons
• Black Hole Entropy from Near-Horizon Microstates
• More on a holographic dual of QCD
• Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals
• Towards a holographic dual of large-N_c QCD
• Overcharging a Black Hole and Cosmic Censorship
• Over-spinning a black hole with a test body
• 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
• Test fields cannot destroy extremal black holes
• Overspinning a Kerr black hole: the effect of self-force
• Dyonic Kerr-Newman black holes, complex scalar field and Cosmic Censorship
• Cosmic censorship in overcharging a Reissner-Nordström black hole via charged particle absorption
• Destroying Kerr-Sen black holes
• Weak Cosmic Censorship Conjecture in Kerr-(Anti-)de Sitter Black Hole with Scalar Field
• The ``Nernst Theorem'' and Black Hole Thermodynamics
• Cosmic Censorship and Weak Gravity Conjecture in the Einstein-Maxwell-dilaton theory
• Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr-Newman black holes
• Chiral anomalies and AdS/CMT in two dimensions
• Flowing along the edge: spinning up black holes in AdS spacetimes with test particles
• Overcharging higher-dimensional black holes with point particles
• Cosmic Censorship of Rotating Anti-de Sitter Black Hole
• Can test fields destroy the event horizon in the Kerr-Taub-NUT spacetime?
• Cosmic Censorship Conjecture in Kerr-Sen Black Hole
• Weak cosmic censorship conjecture for Kerr-Taub-NUT black hole with test scalar field and particle
• Thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes with scalar field
• Thermodynamics and weak cosmic censorship conjecture of the BTZ black holes in the extended phase space
• Examining the weak cosmic censorship conjecture by gedanken experiments for Kerr-Sen black holes
• Charged Black Hole in Gravity's Rainbow: Violation of Weak Cosmic Censorship
• Weak Cosmic Censorship with Pressure and Volume in Charged Anti-de Sitter Black Hole under Charged Scalar Field
• Boundary Conditions and Unitarity: the Maxwell-Chern-Simons System in AdS_3/CFT_2
• Weak Cosmic Censorship in Kerr-Sen Black Hole under Charged Scalar Field
• Cosmic Censorship and parametrized spinning black-hole geometries
• 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
• A Particle Probing Thermodynamics in Three-Dimensional Black Hole
• Test fields cannot destroy extremal de Sitter black holes
• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions

Cited by in corpus (5)

• Thermodynamics and Weak Cosmic Censorship Conjecture of 4D Gauss-Bonnet-Maxwell Black Holes via Charged Particle Absorption
• 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