AdS/BCFT correspondence and BTZ black hole thermodynamics within Horndeski gravity

Abstract

In this work, we study gravity duals of conformal field theories with boundaries known as AdS/BCFT correspondence, put forward by Takayanagi [1], within a scalar-tensor theory, as proposed by Horndeski in 4D [2]. We consider the case of 3D gravity dual to 2D BCFT, take a Gibbons-Hawking surface term modified by Horndeski's theory and find the corresponding 3D (BTZ) black hole solutions. We analyze the effects of Horndeski's gravity on the profile of the extra boundary for the black hole by using an approximate analytic solution. Performing a holographic renormalization, we have calculated the free energy and obtained the total entropy and the corresponding area, as well as the boundary entropy for the black hole. In particular, the boundary entropy found here, can be seen as an extension of the one proposed by Takayanagi. From the free energy, we have done a systematic study of the 3D black hole thermodynamics and present, among our results, an indication of restoration of conformal symmetry for high temperatures. Finally, we present a study on the influence of the Horndeski's gravity on the Hawking-Page phase transition where we can see the stable and unstable phases throughout the plane of free energy {\sl versus} temperature.

V2: 32 pages, 7 figures. Text improved. Typos corrected. New references added. Results unchanged. This version matches the published one in PRD

References in corpus (28)

• The entropy of Hawking radiation
• Horndeski theory and beyond: a review
• Mimicking the QCD equation of state with a dual black hole
• Setting the boundary free in AdS/CFT
• Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics
• A Holographic Prediction of the Deconfinement Temperature
• A holographic critical point
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Gluodynamics and deconfinement phase transition under rotation from holography
• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• On a Holographic Model for Confinement/Deconfinement
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity
• Thermodynamics of a BTZ black hole solution with an Horndeski source
• Hawking-Page phase transition in BTZ black hole revisited
• Fake Supersymmetry and Extremal Black Holes
• Entropic Corrections to Einstein Equations
• Holographic Anisotropic Model for Heavy Quarks in Anisotropic Hot Dense QGP with External Magnetic Field
• Fab Four: When John and George play gravitation and cosmology
• Criticality from Einstein-Maxwell-dilaton holography at finite temperature and density
• On Black Hole Temperature in Horndeski Gravity
• Locating the QCD critical end point through the peaked baryon number susceptibilities along the freeze-out line
• Phase Transitions in Warped AdS${}_3$ Gravity
• Black Holes in AdS/BCFT and Fluid/Gravity Correspondence
• Rotating black hole with a probe string in Horndeski Gravity
• Finite density effects on chiral symmetry breaking in a magnetic field in 2+1 dimensions from holography
• Fluctuation and Dissipation from a Deformed String/Gauge Duality Model
• Fluctuation and dissipation within a deformed holographic model with backreaction
• Energy Loss in Holographic Anisotropic Model for Heavy Quarks in External Magnetic Field

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• Holographic renormalization of Horndeski gravity
• Magnetized AdS/BCFT Correspondence in Horndeski Gravity
• Transport properties in the Horndeski holographic two-currents model
• Holographic complexity of braneworld in Horndeski gravity
• Three-dimensional energy-dependent $C$-metric: black hole solutions
• Geometric Josephson junction
• Black branes in asymptotically Lifshitz spacetimes in $\kappa$-deformed Horndeski gravity
• Holographic Boundary Conformal Field Theory within Horndeski Gravity
• Phantom BTZ black holes
• Quantum fluctuation on the worldsheet of probe string in BTZ black hole
• Topological 4D gravity and gravitational defects
• Notes on solution phase space and BTZ black hole
• Cosmological scalar perturbations in Horndeski-like gravity
• Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence
• Vector mesons from a holographic QCD model in $f(R)$-dilaton gravity
• q-Deformed glueballs spectrum in AdS/QCD correspondence