What lies beyond the horizon of a holographic p-wave superconductor

Sword, Lewis; Vegh, David

doi:10.1007/jhep12(2022)045

Cited by 10 publications

(5 citation statements)

References 40 publications

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“…A further phenomenon that appears in these works are bounces between different Kasner 'epochs', see e.g. [14,16,21,25,[27][28][29]. This is again familiar from much earlier work, most famously the chaotic bounces of the 'mixmaster' universe [30].…”

Section: Introductionmentioning

confidence: 81%

“…This can be contrasted with the 'Kasner inversions' described in [14] where g t t itself experiences alternating period of growth and collapse. It would be interesting to find a simple model, possibly along the lines of [16,28,29], exhibiting an infinite number of bounces of g t t towards the singularity.…”

Section: Discussionmentioning

confidence: 99%

“…This had to happen because we are considering a regime of overlapping validity of the two descriptions. However, the constant c in (20) holds for a given extended bounce while the constant â in (29), inherited from a in ( 16), holds through a given Kasner regime that connects two sequential bounces. It follows that the constant c in (20) does not change between bounces, asymptotically, so that we may write c = c n = c n+1 .…”

Section: Late Time Evolution Of the Interiormentioning

confidence: 99%

“…This variation is due to the e − 1 4 v n φ term in the linearized solution (16) for the Kasner regime. We had dropped that term previously in (29) because it was subleading compared to the e −3φ/v n term at |v n | ≪ 1. We may re-instate this term and re-run the matching argument between the Kasner and extended bounce regimes.…”

Section: Late Time Evolution Of the Interiormentioning

confidence: 99%

“…A recent body of work has demonstrated that a common feature of (minisuperspace) holographic interiors is the emergence of Kasner scaling towards the singularity [11,[13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. The negative cosmological constant becomes irrelevant at late interior times, and therefore the well-studied approach to spacelike singularities in gravity without a cosmological constant is recovered.…”

Section: Introductionmentioning

confidence: 99%

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AdS black holes with a bouncing interior

Hartnoll

Navonil

2023

SciPost Phys.

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We construct planar black hole solutions of AdS gravity minimally coupled to a scalar field with an even, super-exponential potential. We show that the evolution of the black hole interior exhibits an infinite sequence of Kasner epochs, as the scalar field rolls back and forth in its potential. We obtain an analytic expression for the 'bounces' between each Kasner epoch and also give an explicit formula for the times and strengths of the bounces at late interior times, thereby fully characterizing the interior evolution. In this way we show that the interior geometry approaches the Schwarzschild singularity at late times, even as the scalar field is driven higher up its potential with each bounce.

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Section: Introductionmentioning

confidence: 81%

Section: Discussionmentioning

confidence: 99%

Section: Late Time Evolution Of the Interiormentioning

confidence: 99%

Section: Late Time Evolution Of the Interiormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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AdS black holes with a bouncing interior

Hartnoll

Navonil

2023

SciPost Phys.

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Internal structure of hairy rotating black holes in three dimensions

Gao,

Liu,

Lyu

2024

J. High Energ. Phys.

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We construct hairy rotating black hole solutions in three dimensional Einstein gravity coupled to a complex scalar field. When we turn on a real and uniform source on the dual CFT, the black hole is stationary with two Killing vectors and we show that there is no inner horizon for the black hole and the system evolves smoothly into a Kasner universe. When we turn on a complex and periodic driving source on the dual CFT with a phase velocity equal to the angular velocity of the black hole, we have a time-dependent black hole with only one Killing vector. We show that inside the black hole, after a rapid collapse of the Einstein-Rosen bridge, oscillations of the scalar field follow. Then the system evolves into the Kasner epoch with possible Kasner inversion, which occurs in most of the parameter regimes. In both cases, one of the metric fields obeys a simple relation between its value at the horizon and in the Kasner epoch.

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Towards classifying the interior dynamics of charged black holes with scalar hair

Cai,

Duan,

et al. 2024

J. High Energ. Phys.

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The study of the interior of hairy black holes has received significant attention recently. This paper builds upon our recent analytical approach to investigate the internal dynamics of charged black holes with scalar hair in general spacetime dimensions. The geometries of these hairy balck holes end at a spacelike singularity. We investigate the alternation of Kasner epoch at later interior times and obtain the analytic expression for two kinds of transformation, namely Kasner inversion and Kasner transition. Moreover, we classify three different types of Kasner alternations for a large class of Einstein-Maxwell-scalar theory. Our analytical results are corroborated by numerical solutions to the full equations of motion, including a top-down model from supergravity. For general interactions, more complicated behaviors beyond our analytical description are also found and discussed, including the presence of non-Kasner epochs and the random change of the amplitude of the Kasner exponent at late interior times.

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What lies beyond the horizon of a holographic p-wave superconductor

Cited by 10 publications

References 40 publications

AdS black holes with a bouncing interior

AdS black holes with a bouncing interior

Internal structure of hairy rotating black holes in three dimensions

Towards classifying the interior dynamics of charged black holes with scalar hair

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