Internal structure of charged AdS black holes

Bhattacharjee, Srijit; Sarkar, Sudipta; Virmani, Amitabh

doi:10.1103/physrevd.93.124029

Cited by 23 publications

(38 citation statements)

References 28 publications

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“…The generic non-smooth behaviour of the above components at CH + R can be evaluated by substituting the generic behaviour of the non-smooth part of Φ given by (3.46) into (4.13) to obtain the non-smooth part ofÃ as 19 To simplify the exposition, in (4.20) and below we do not rewrite the factor e −iωt+imφ in Eddington-…”

Section: )mentioning

confidence: 99%

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The BTZ black hole violates strong cosmic censorship

Dias

Reall

Santos

2019

J. High Energ. Phys.

139

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We investigate the stability of the inner horizon of a rotating BTZ black hole. We show that linear perturbations arising from smooth initial data are arbitrarily differentiable at the inner horizon if the black hole is sufficiently close to extremality. This is demonstrated for scalar fields, for massive Chern-Simons fields, for Proca fields, and for massive spin-2 fields. Thus the strong cosmic censorship conjecture is violated by a near-extremal BTZ black hole in a large class of theories. However, we show that a weaker "rough" version of the conjecture is respected. We calculate the renormalized energymomentum tensor of a scalar field in the Hartle-Hawking state in the BTZ geometry. We show that the result is finite at the inner horizon of a near-extremal black hole. Hence the backreaction of vacuum polarization does not enforce strong cosmic censorship.

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Section: )mentioning

confidence: 99%

“…But not enough to prevent the existence of a continuous extension across the Cauchy horizon[18]. See also[19] for a discussion of tidal forces at the Cauchy horizon.…”

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confidence: 99%

The BTZ black hole violates strong cosmic censorship

Dias

Reall

Santos

2019

J. High Energ. Phys.

139

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“…Therefore, we are more confident Reissner-Nordström-AdS is the true dual geometry for large enough temperature since there are no rings or other extended objects with which it must compete. 19 Rotating black holes can be understood in the framework of Kerr-Schild theory [72], where the full geometry g is understood as a perturbation of a backgroundḡ (in our case, AdS) by a particular null vector field k, so the metric is…”

Section: Jhep06(2020)054mentioning

confidence: 99%

Holographic probes of inner horizons

Balasubramanian

Kar

Sárosi

2020

J. High Energ. Phys.

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We study the inner horizons of rotating and charged black holes in anti-de Sitter space. These black holes have a classical analytic extension through the inner horizon to additional asymptotic regions. If this extension survives in the quantum theory, it requires particular analytic properties in a dual CFT, which give a prescription for calculating correlation functions for operators placed on any asymptotic boundary of the maximally extended spacetime. We show that for charged black holes in three or greater dimensions, and rotating black holes in four or greater dimensions, these analytic properties are inconsistent in the dual CFT, implying the absence of an analytic extension for quantum fields past the inner horizon. Thus, we find that strong cosmic censorship holds for all AdS black holes except rotating BTZ. To further study the latter case, we insert classical perturbations near the boundary at late times, producing shockwaves traveling along the inner horizon. We holographically compute CFT correlators in this background that probe a high energy scattering process near the inner horizon and argue that the shockwave does not destabilize the inner horizon violently enough to prevent signaling between different asymptotic regions of the Penrose diagram. This provides evidence that the rotating BTZ black hole does violate the strong cosmic censorship conjecture.

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“…Note in particular that, as a result of this, one cannot study the new non-trivial aspect of this problem restricted to spherical symmetry. (Nevertheless, see [3] for a discussion of the Ori model for RN-AdS black holes. )…”

Section: Introductionmentioning

confidence: 99%

Uniform Boundedness and Continuity at the Cauchy Horizon for Linear Waves on Reissner–Nordström–AdS Black Holes

Kehle

2019

Commun. Math. Phys.

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Motivated by the Strong Cosmic Censorship Conjecture for asymptotically AdS spacetimes, we initiate the study of massive scalar waves satisfying g ψ − µψ = 0 on the interior of Anti-de Sitter (AdS) black holes. We prescribe initial data on a spacelike hypersurface of a Reissner-Nordström-AdS black hole and impose Dirichlet (reflecting) boundary conditions at infinity. It was known previously that such waves only decay at a sharp logarithmic rate (in contrast to a polynomial rate as in the asymptotically flat regime) in the black hole exterior. In view of this slow decay, the question of uniform boundedness in the black hole interior and continuity at the Cauchy horizon has remained up to now open. We answer this question in the affirmative.Conjecture 1 (C 0 formulation of strong cosmic censorship). For generic compact or asymptotically flat (asymptotically Anti-de Sitter) vacuum initial data, the maximal Cauchy development of (EE) is inextendible as a Lorentzian manifold with C 0 (continuous) metric.Surprisingly, the C 0 formulation (Conjecture 1) was recently proved to be false for both cases Λ = 0 and Λ > 0 (see discussion later, [17]). However, the following weaker, yet well-motivated, formulation introduced by Christodoulou in [9] is still expected to hold true (at least) in the asymptotically flat case (Λ = 0).Conjecture 2 (Christodoulou's re-formulation of strong cosmic censorship). For generic asymptotically flat vacuum initial data, the maximal Cauchy development of (EE) is inextendible as a Lorentzian manifold with C 0 (continuous) metric and locally square integrable Christoffel symbols.1 More precisely, this holds true for subextremal and non-trivially rotating(charged) Kerr(Reissner-Nordström) black holes which we will assume for the rest of the paper, unless explicitly stated otherwise.In order to gain insight about SCC, the most naive approach (often referred to as "poor man's linearization") is to study solutions of (1.1) with µ = 0 on a fixed explicit black hole spacetime (e.g. Kerr or Reissner-Nordström). This can be considered as the most naive toy model for (EE) with initial data close to Kerr or Reissner-Nordström data, for which many features of (EE) including the non-linear terms and the tensorial structure are neglected; see the pioneering works for asymptotically flat (Λ = 0) black holes [60,48,49,8]. Under the identification ψ ∼ g and ∂ψ ∼ Γ, where ψ is a solution to (1.1), Conjecture 1 corresponds to a failure of ψ to be continuous (C 0 ) at the Cauchy horizon. Similarly, Conjecture 2 corresponds to a failure of ψ to lie in H 1 loc at the Cauchy horizon. The state of the art for Λ = 0 and Λ > 0. The definitive disproof [17] of Conjecture 1 was preceded by corresponding results on the level of (1.1).Linear level for Λ = 0. In the asymptotically flat case (Λ = 0) it was shown in [26,27] (see also [34]) that solutions of (1.1) with µ = 0 arising from data on a spacelike hypersurface remain continuous and uniformly bounded (no C 0 blow-up) at the Cauchy horizon of general subextremal Kerr or...

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Internal structure of charged AdS black holes

Cited by 23 publications

References 28 publications

The BTZ black hole violates strong cosmic censorship

The BTZ black hole violates strong cosmic censorship

Holographic probes of inner horizons

Uniform Boundedness and Continuity at the Cauchy Horizon for Linear Waves on Reissner–Nordström–AdS Black Holes

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