Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes

Abstract

We present the first examples of phase transitions in asymptotically flat black hole solutions. We analyze the thermodynamic properties of black holes in order $N\ge 3$ Lovelock gravity, with zero cosmological constant. We find a new type of "inverted" swallowtail indicative of stable temperature regions for an otherwise unstable neutral black hole, and demonstrate multiple such stable phases can exist and coexist at multi-critical points. We also find that for charged black holes, ordinary swallowtails can exist on the stable Gibbs free energy branch, allowing for multiple first order phase transitions as seen for AdS black holes. A triple point for $N=5$ and a quadruple point for $N=7$ are presented explicitly. We investigate changes in the Gibbs free energy as the lowest order Lovelock constant is varied, and draw comparisons to pressure changes for AdS black hole systems.

arXiv commentReferences added

References in corpus (29)

• Enthalpy and the Mechanics of AdS Black Holes
• Black hole chemistry: thermodynamics with Lambda
• Reentrant Phase Transitions in Rotating AdS Black Holes
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Superfluid Black Holes
• Isolated critical point from Lovelock gravity
• Thermodynamics of Asymptotically Flat Charged Black Holes in Third Order Lovelock Gravity
• On the Universality of Inner Black Hole Mechanics and Higher Curvature Gravity
• A Lovelock black hole bestiary
• Mass and Free Energy of Lovelock Black Holes
• Multi-critical Points in Black Hole Phase Transitions
• Generalized quasi-topological gravities: the whole shebang
• Criticality and extended phase space thermodynamics of AdS black holes in higher curvature massive gravity
• Pathologies in Lovelock AdS Black Branes and AdS/CFT
• Range of novel black hole phase transitions via massive gravity: Triple points and N-fold reentrant phase transitions
• Black hole chemistry and holography in generalized quasi-topological gravity
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• Multicritical Phase Transitions in Lovelock AdS Black Holes
• Multicritical Phase Transitions in Multiply Rotating Black Holes
• Snapping swallowtails in accelerating black hole thermodynamics
• Black Hole Zeroth Law in Higher Curvature Gravity
• Thermodynamics of Exotic Black Holes in Lovelock Gravity
• The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point
• Exotic Black Hole Thermodynamics in Third-Order Lovelock Gravity
• The geometry of high-dimensional phase diagrams: I. Generalized Gibbs Phase Rule

Cited by in corpus (4)

• Black Hole Chemistry: the first 15 years
• Non-closed scalar charge in four-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics
• Thermodynamic Behavior of a 4D Nonminimal Maxwell-AdS Black Hole
• Thermodynamics and information recovery of Schwarzschild AdS black holes in conformal Killing gravity