Multi-critical Points in Black Hole Phase Transitions

Tavakoli, Mohammad Reza; Wu, Jerry; Mann, Robert B.

doi:10.48550/arxiv.2207.03505

Cited by 2 publications

(4 citation statements)

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“…The Gibbs free energy showing the new inverted swallowtails can be found in the upper diagram in figure 7. The phase diagram for α 2 > α 2mc is qualitatively the same at that of the previously discovered multi-critical points for AdS black holes [12,13,25], barring the maximal temperature.…”

Section: Charged Black Holessupporting

confidence: 78%

“…The number of thermodynamic variables required for n = ⌊ N−1 2 ⌋ coexisting phases is larger than that observed for previous systems [12,13]. The minimum number of thermodynamic degrees of freedom for this class of black holes using our methods is n + 2 in accord with the generalized Gibbs phase rule [33]…”

Section: Uncharged Black Holesmentioning

confidence: 65%

“…Very recently multi-critical points have been shown to exist. These occur in four-dimensional Einstein gravity coupled to power Maxwell theory [12], and for multiply rotating Kerr-AdS black holes [13]. In general, it appears that pretty much any phase behaviour observed in a chemistry lab can also appear in an AdS black hole system, and for this reason the subject has come to be called Black Hole Chemistry [3].…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamically stable phases of asymptotically flat Lovelock black holes

Mann

2023

Class. Quantum Grav.

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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 ‒ 3 Lovelock gravity, with zero cosmological constant. We ﬁnd a new type of “reversed” swallowtail which can support 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 exists 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 non-ﬁxed Lovelock constant is varied and draw comparisons to pressure changes for AdS black hole systems.

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Section: Charged Black Holessupporting

confidence: 78%

Section: Uncharged Black Holesmentioning

confidence: 65%

Section: Introductionmentioning

confidence: 99%

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Thermodynamically stable phases of asymptotically flat Lovelock black holes

Mann

2023

Class. Quantum Grav.

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“…In the gravitational theory, the introduction of the non-linear electromagnetic field may avoid the black hole singularity [25][26][27][28][29]. Moreover, recent study indicate that the non-linear electrodynamic theory allows many horizons [30] and multicritical points [31]. Because this series of theories have high degrees of freedom, we can choose a proper coupling constant such that the effective potential of the black hole has multiple peaks.…”

Section: Introductionmentioning

confidence: 99%

Splitting the Echoes of Black Holes in Einstein-nonlinear Electrodynamic Theories

Sang¹,

Zhang²,

Wei³

et al. 2022

Preprint

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Black hole echo is an important observable that can help us better understand gravitational theories. We present that the non-linear electrodynamic black holes can admit the multi-peak effective potential for the scalar perturbations, which can give rise to the echoes. After choosing suitable parameters, the effective potential can exhibit a structure with more than two peaks. Putting the initial wave packet released outside the peaks, we find that the time-domain profile of the echo will split when the peaks of the effective potential change from two to three. This is a phenomenon of black hole echo and it might be possible to determine the geometric structure of the black hole according to this phenomenon through gravitational wave detection.

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Multi-critical Points in Black Hole Phase Transitions

Cited by 2 publications

References 0 publications

Thermodynamically stable phases of asymptotically flat Lovelock black holes

Thermodynamically stable phases of asymptotically flat Lovelock black holes

Splitting the Echoes of Black Holes in Einstein-nonlinear Electrodynamic Theories

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