The final Kasner regime inside black holes with scalar or vector hair

Henneaux, Marc

doi:10.1007/jhep03(2022)062

Cited by 15 publications

(22 citation statements)

References 27 publications

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“…A similar situation happens for the asymptotically anti-de Sitter (AdS) solutions known as holographic superconductors in the presence of a massive scalar and vector hair charged under a Maxwell field [12][13][14][15]. See also Refs.…”

Section: Introductionmentioning

confidence: 88%

Probing inside a charged hairy black hole in massive gravity

Mirjalali,

Mansoori,

Shahkarami

et al. 2022

Preprint

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In this paper, we investigate the internal structure of a charged hairy black hole solution in the non-linear massive gravity. We first consider the impact of various configurations of massive gravity on the condensate operator and then probe the black hole interior dynamics. Like a standard holographic superconductor system, just below the critical temperature, the interior evolves through several distinct epochs, including a collapse of the Einstein-Rosen bridge, Josephson oscillations of the scalar field, and finally a Kasner (or Kasner inversion) cosmology. However, for the large massive gravity parameter, we see distinguishing features for the interior dynamics. Indeed, in the pure non-linear massive configuration, the Einstein-Rosen bridge collapse and subsequent Josephson oscillations epochs completely disappear from the interior dynamics and the final Kasner cosmology epoch starts exactly after the would-be inner horizon and the system does not experience the Kasner inversion epoch.

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Section: Introductionmentioning

confidence: 88%

Probing inside a charged hairy black hole in massive gravity

Mirjalali,

Mansoori,

Shahkarami

et al. 2022

Preprint

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“…The presence of the scalar φ gives rise to several interesting dynamical phenomena, which have been investigated in detail in [1,2,[50][51][52][53]. The full system in eq.…”

Section: Approximate Solution At Large Z: the Kasner Limitmentioning

confidence: 99%

“…Something special happens in the limit α → 0: in this case the approximations used in section 2.4 fail, because we should also take into account terms involving the charge of the scalar field. In this case multiple Kasner inversions are possible, see [51] for a recent study with the billiard approach.…”

Section: Charged Scalar Fieldmentioning

confidence: 99%

On the time dependence of holographic complexity for charged AdS black holes with scalar hair

Auzzi,

Bolognesi,

Rabinovici

et al. 2022

Preprint

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In the presence of a scalar hair perturbation, the Cauchy horizon of a Reissner-Nordström black hole disappears and is replaced by the rapid collapse of the Einstein-Rosen bridge, which leads to a Kasner singularity [1,2]. We study the time-dependence of holographic complexity, both for the volume and for the action proposals, in a class of models with hairy black holes. Volume complexity can only probe a portion of the black hole interior that remains far away from the Kasner singularity. We provide numerical evidence that the Lloyd bound is satisfied by the volume complexity rate in all the parameter space. Action complexity can instead probe a portion of the spacetime closer to the singularity. In particular, the complexity rate diverges at the critical time t c for which the Wheeler-DeWitt patch touches the singularity. After the critical time the action complexity rate approaches a constant. We find that the Kasner exponent does not directly affect the details of the divergence of the complexity rate at t = t c and the late-time behaviour of the complexity. The Lloyd bound is violated by action complexity at finite time, because the complexity rate diverges at t = t c . We find that the Lloyd bound is satisfied by the asymptotic action complexity rate in all the parameter space that we explored.

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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].…”

mentioning

confidence: 93%

“…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].…”

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confidence: 99%

AdS Black Holes with a Bouncing Interior

Hartnoll¹,

Navonil²

2022

Preprint

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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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The final Kasner regime inside black holes with scalar or vector hair

Cited by 15 publications

References 27 publications

Probing inside a charged hairy black hole in massive gravity

Probing inside a charged hairy black hole in massive gravity

On the time dependence of holographic complexity for charged AdS black holes with scalar hair

AdS Black Holes with a Bouncing Interior

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