Isolated critical point from Lovelock gravity

Abstract

For any K(=2k+1)th-order Lovelock gravity with fine-tuned Lovelock couplings, we demonstrate the existence of a special isolated critical point characterized by non-standard critical exponents in the phase diagram of hyperbolic vacuum black holes. In the Gibbs free energy this corresponds to a place wherefrom two swallowtails emerge, giving rise to two first-order phase transitions between small and large black holes. We believe that this is a first example of a critical point with non-standard critical exponents obtained in a geometric theory of gravity.

5 pages, 2 figures

References in corpus (5)

• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Universal regularization prescription for Lovelock AdS gravity

Cited by in corpus (3)

• Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes
• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• Non-extended phase space thermodynamics of Lovelock AdS black holes in grand canonical ensemble