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arxiv: 1407.4783 · v1 · pith:VTPCCRDKnew · submitted 2014-07-17 · ✦ hep-th · gr-qc

Isolated critical point from Lovelock gravity

Brian P. Dolan , Anna Kostouki , David Kubiznak , Robert B. Mann This is my paper
classification ✦ hep-th gr-qc
keywords criticalgravitylovelockpointblackexponentsholesisolated
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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.

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