Quantum aspects of charged black holes in de-Sitter space

Pushkal Shrivastava

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Quantum aspects of charged black holes in de-Sitter space

Pushkal Shrivastava

High Energy Physics - Theory · Submitted 7 Sep 2020

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Hence, quantum fluctuations are sufficient to restore the strong cosmic censorship conjecture in RN-dS.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.24 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.34 · mentions code or data availability 0.02.

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It has been argued that generic classical perturbations to asymptotically de-Sitter Reissner-Nordtsr\"om (RN-dS) black holes may violate strong cosmic censorship conjecture. In this paper, we analyze whether quantum corrections can restore the conjecture. We study a quantum scalar field in RN-dS geometry and analyze the smoothness of a state across various horizons using the criteria developed in arXiv:1910.02992. Since de-Sitter black holes have a cosmological horizon, that typically radiates at a different temperature than the event horizon, the existence of a quantum state which is regular everywhere in the exterior region is non-trivial. We find such states for spherically symmetric black holes in arbitrary dimensions. We then demonstrate that such states are singular at the inner horizon of RN-dS black holes in various dimensions. Hence, quantum fluctuations are sufficient to restore the strong cosmic censorship conjecture in RN-dS.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	It has been argued that generic classical perturbations to asymptotically de-Sitter Reissner-Nordtsr\"om (RN-dS) black holes may violate strong cosmic censorship conjecture.	background 1.00	0.04	0.02	hedged possibility 1.00
s1	In this paper, we analyze whether quantum corrections can restore the conjecture.	contribution 0.94	0.51	0.04	unclear 0.62
s2	We study a quantum scalar field in RN-dS geometry and analyze the smoothness of a state across various horizons using the criteria developed in arXiv:1910.02992.	method 0.79	0.91	0.03	asserted 0.85
s3	Since de-Sitter black holes have a cosmological horizon, that typically radiates at a different temperature than the event horizon, the existence of a quantum state which is regular everywhere in the exterior region is non-trivial.	background 0.99	0.06	0.02	asserted 0.77
s4	We find such states for spherically symmetric black holes in arbitrary dimensions.	result 1.00	0.96	0.06	asserted 1.00
s5	We then demonstrate that such states are singular at the inner horizon of RN-dS black holes in various dimensions.	result 1.00	0.95	0.12	asserted 1.00
s6	Hence, quantum fluctuations are sufficient to restore the strong cosmic censorship conjecture in RN-dS.	interpretation 0.88	0.90	0.96	asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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The paper

Original abstract

It has been argued that generic classical perturbations to asymptotically de-Sitter Reissner-Nordtsr\"om (RN-dS) black holes may violate strong cosmic censorship conjecture. In this paper, we analyze whether quantum corrections can restore the conjecture. We study a quantum scalar field in RN-dS geometry and analyze the smoothness of a state across various horizons using the criteria developed in arXiv:1910.02992. Since de-Sitter black holes have a cosmological horizon, that typically radiates at a different temperature than the event horizon, the existence of a quantum state which is regular everywhere in the exterior region is non-trivial. We find such states for spherically symmetric black holes in arbitrary dimensions. We then demonstrate that such states are singular at the inner horizon of RN-dS black holes in various dimensions. Hence, quantum fluctuations are sufficient to restore the strong cosmic censorship conjecture in RN-dS.

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4 arXiv papers cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 1 sentence without a confident label

Cites it as support 2 papers

These results had been anticipated in [ref] . * The same conclusion as 2. holds in $3+1$ Reissner-Nordtröm [ref] . * The Reissner-Nordström de Sitter case has been studied in [ref] and in [ref] .

Quantum strong cosmic censorship and black hole evaporation · Supporting evidence · 0.96
Calculations with free fields also show this explicitly for smooth states [ref] .

Disentanglement as a strong cosmic censor · Disentanglement across the Cauchy horizon · 0.99

Cites it as background 1 paper

Let us first review the two-dimensional analysis of Hollands, Wald, and Zahn from [ref] ; see also [ref] .

Singularities in 2D and 3D quantum black holes · Review of the RN-dS analysis · 0.90

What it cites · 20 sentences without a confident label

Uses the method or tool of 1 paper

To this end, a simple criteria for testing smoothness of a quantum state across a null surface in arbitrary spacetime was recently developed in [ref] .

A simple quantum test for smooth horizons · Introduction · 0.94

Compares with 2 papers

Our results are in agreement with the results of [ref] , where the coefficient of leading order divergence in the stress tensor was shown to be non-zero, numerically.

Quantum Instability of the Cauchy Horizon in Reissner-Nordstr\"om-deSitter Spacetime · Conclusions · 0.80
Our results are in agreement with the results of [ref] , where the coefficient of leading order divergence in the stress tensor was shown to be non-zero, numerically.

Quantum stress tensor at the Cauchy horizon of Reissner-Nordstr\"om-deSitter spacetime · Conclusions · 0.80

Cites as background 26 papers

On the other hand, the effects of quantum fluctuations on the stability of the inner horizon is relatively unexplored, and has gained traction only recently [ref] .

A simple quantum test for smooth horizons · Introduction · 0.94
On the other hand, the effects of quantum fluctuations on the stability of the inner horizon is relatively unexplored, and has gained traction only recently [ref] .

Holographic Probes of Inner Horizons · Introduction · 0.94
On the other hand, the effects of quantum fluctuations on the stability of the inner horizon is relatively unexplored, and has gained traction only recently [ref] .

Quantum Instability of the Cauchy Horizon in Reissner-Nordstr\"om-deSitter Spacetime · Introduction · 0.94

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