Phase Transitions in General Gravity Theories

Camanho, Xián O.

doi:10.1007/978-3-642-40157-2_18

Cited by 2 publications

(3 citation statements)

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“…Several branches can display black holes with the same mass or temperature. This entails the possibility of a rich phase diagram, provided that the free energy or entropy of these solutions differ, which turns out to be the case [14,15,16]. The plethora of vacua and possibilities for the local behavior of the polynomial ϒ [g] lead to a bestiary of black hole solutions that has been analyzed in depth [10].…”

Section: Black Holesmentioning

confidence: 99%

“…This is the maximal number of zeros that may eventually correspond to Hawking-Page-like phase transitions. Moreover, taking into account that (30) is a sum involving the whole set of branches of the theory, phase transitions involving jumps between different branches are expected [14,15,16].…”

Section: Black Holesmentioning

confidence: 99%

Section: Black Holesmentioning

confidence: 99%

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Lovelock Theory, Black Holes and Holography

Edelstein

2013

Springer Proceedings in Mathematics &Amp; Statistics

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Lovelock theory is the natural extension of general relativity to higher dimensions. It can be also thought of as a toy model for ghost-free higher curvature gravity. It admits a family of AdS vacua, most (but not all) of them supporting black holes that display interesting features. This provides an appealing arena to explore different holographic aspects in the context of the AdS/CFT correspondence.

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Section: Black Holesmentioning

confidence: 99%

Section: Black Holesmentioning

confidence: 99%

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Lovelock Theory, Black Holes and Holography

Edelstein

2013

Springer Proceedings in Mathematics &Amp; Statistics

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Generalized phase transitions in Lovelock gravity

et al. 2014

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We investigate a novel mechanism for phase transitions that is a distinctive feature of higher-curvature gravity theories. For definiteness, we bound ourselves to the case of Lovelock gravities. These theories are known to have several branches of asymptotically AdS solutions. Here, extending our previous work, we show that phase transitions among some of these branches are driven by a thermalon configuration: a bubble separating two regions of different effective cosmological constants, generically hosting a black hole in the interior. Above some critical temperature, this thermalon configuration is preferred with respect to the finite-temperature AdS space, triggering a sophisticated version of the Hawking-Page transition. After being created, the unstable bubble configuration can in general dynamically change the asymptotic cosmological constant. While this phenomenon already occurs in the case of a gravity action with square curvature terms, we point out that in the case of Lovelock theory with cubic (and higher) terms new effects appear. For instance, the theory may admit more than one type of bubble and branches that are in principle free of pathologies may also decay through the thermalon mechanism. We also find ranges of the gravitational couplings for which the theory becomes sick. These add up to previously found restrictions to impose tighter constraints on higher-curvature gravities. The results of this paper point to an intricate phase diagram which might accommodate similarly rich behavior in the dual CFT side.

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Phase Transitions in General Gravity Theories

Cited by 2 publications

References 12 publications

Lovelock Theory, Black Holes and Holography

Lovelock Theory, Black Holes and Holography

Generalized phase transitions in Lovelock gravity

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