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.
|Journal||Classical and Quantum Gravity|
|Publication status||Published - 21 Dec 2014|
- black hole thermodynamics
- critical phenomena
- phase transitions
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)