Range of novel black hole phase transitions via massive gravity: Triple points and N-fold reentrant phase transitions

Abstract

Massive gravities in anti-de Sitter spacetime can be viewed as effective dual field theories of different phases of condensed matter systems with broken translational symmetry such as solids, (perfect) fluids, and liquid crystals. Motivated by this fact, we explore the black hole chemistry (BHC) of these theories and find a new range of novel phase transitions close to realistic ones in ordinary physical systems. We find that the equation of state of topological black holes (TBHs) at their inflection point(s) in $d$-dimensional spacetime reduces to a polynomial equation of degree $(d-4)$, which yields up to $n=(d-4)$ critical points. As a result, for (neutral) TBHs, we observe triple-point phenomena with the associated first-order phase transitions (in $d\ge 7$), and a new phenomenon we call an $N$-fold reentrant phase transition, in which several ($N$) regions of thermodynamic phase space exhibit distinct reentrant phase transitions, with associated virtual triple points and zeroth-order phase transitions (in $d\ge 8$), as well as Van der Waals transitions (in $d\ge 5$) and reentrant (in $d\ge 6$) behavior. We conclude that BHC in higher-dimensional massive gravity is very likely to offer further new surprises.

7 pages, 3 figures, published version

References in corpus (9)

• Resummation of Massive Gravity
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Thermodynamics of Black Holes in Massive Gravity
• P-V criticality in the extended phase space of black holes in massive gravity
• van der Waals like behaviour of topological AdS black holes in massive gravity
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Bimetric gravity is cosmologically viable
• Heavy spin-2 Dark Matter
• Stability of Massive Gravity Solutions for Holographic Conductivity

Cited by in corpus (14)

• Topology of nonlinearly charged black hole chemistry via massive gravity
• Black Hole Chemistry: the first 15 years
• On Rényi universality formula of charged flat black holes from Hawking-Page phase transition
• Thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions
• On some phase equilibrium features of charged black holes in flat spacetime via Rényi statistics
• Thermodynamics of the Reissner-Nordström-de Sitter Spacetime with Quintessence
• Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
• Topological dyonic black holes of massive gravity with generalized quasitopological electromagnetism
• Structure of $3D$ gravastars in the context of massive gravity
• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches
• Absence of isolated critical points with nonstandard critical exponents in the four-dimensional regularization of Lovelock gravity
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
• Reentrant Ferromagnetic Ordering of the Random-Field Heisenberg Model in d>2 Dimensions: Fourier-Legendre Renormalization-Group Theory
• Axial, Planar-Diagonal, Body-Diagonal Fields on the Cubic-Spin Spin Glass in d=3: A Plethora of Ordered Phases under Finite Fields