Thermodynamics of hairy black holes in Lovelock gravity

Abstract

We perform a thorough study of the thermodynamic properties of a class of Lovelock black holes with conformal scalar hair arising from coupling of a real scalar field to the dimensionally extended Euler densities. We study the linearized equations of motion of the theory and describe constraints under which the theory is free from ghosts/tachyons. We then consider, within the context of black hole chemistry, the thermodynamics of the hairy black holes in the Gauss-Bonnet and cubic Lovelock theories. We clarify the connection between isolated critical points and thermodynamic singularities, finding a one parameter family of these critical points which occur for well-defined thermodynamic parameters. We also report on a number of novel results, including `virtual triple points' and the first example of a `$\lambda$-line'---a line of second order phase transitions---in black hole thermodynamics.

62 pages, 30 figures. Minor changes and typos corrected. Updated to match published version

References in corpus (13)

• Building an AdS/CFT superconductor
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Beyond eta/s = 1/4pi
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Superfluid Black Holes
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Isolated critical point from Lovelock gravity
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity
• Maxwell's equal-area law for Gauss-Bonnet Anti-de Sitter black holes
• Thermodynamics of Horndeski black holes with non-minimal derivative coupling
• Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry

Cited by in corpus (20)

• Van der Waals criticality in AdS black holes: a phenomenological study
• Observing dynamic oscillatory behavior of triple points among black hole thermodynamic phase transitions
• Critical Phenomena of Born-Infeld-de Sitter Black Holes in Cavities
• Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
• Peculiar $P-V$ criticality of topological Hořava-Lifshitz black holes
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• Photon orbits and phase transition for Non-Linear charged Anti-de Sitter black holes
• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• Phase transition and entropic force of de Sitter black hole in massive gravity
• Exact Solution of Bardeen Black Hole in Einstein-Gauss-Bonnet gravity
• Thermodynamics of de Sitter Black Holes with Conformally Coupled Scalar Fields
• Topology and phase transition for EPYM AdS black hole in thermal potential
• Dynamic Property of Phase Transition for Non-Linear Charged Anti-de Sitter black holes
• Universality for Black Hole Heat Engines Near Critical Points
• Phase transitions, critical behavior and microstructure of the FRW universe in the framework of higher order GUP
• Inhomogeneous metrics on complex bundles in Lovelock gravity
• Absence of isolated critical points with nonstandard critical exponents in the four-dimensional regularization of Lovelock gravity
• Lovelock black holes with double-logarithmic electrodynamics source
• Scalar-hairy Lovelock gravity respects zeroth law
• Heat Capacity and the Violation of Scaling Laws in Gravitational System