Islands and Page curves of Reissner-Nordström black holes

Wang, Xuanhua; Li, Ran; Wang, Jin

doi:10.1007/jhep04(2021)103

Cited by 89 publications

(45 citation statements)

References 60 publications

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“…We conclude by noting some of the latest works on the information paradox, as a point of entry into the recent developments [45][46][47][48][49][50][51][52].…”

Section: Jhep08(2021)119mentioning

confidence: 99%

Dirichlet baths and the not-so-fine-grained Page curve

Ghosh

Krishnan

2021

J. High Energ. Phys.

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We present a doubly holographic prescription for computing entanglement entropy on a gravitating brane. It involves a Ryu-Takayanagi surface with a Dirichlet anchoring condition. In braneworld cosmology, a related approach was used previously in arXiv:2007.06551. There, the prescription naturally computed a co-moving entanglement entropy, and was argued to resolve the information paradox for a black hole living in the cosmology. In this paper, we show that the Dirichlet prescription leads to reasonable results, when applied to a recently studied wedge holography set up with a gravitating bath. The nature of the information paradox and its resolution in our Dirichlet problem have a natural understanding in terms of the strength of gravity on the two branes and at the anchoring location. By sliding the anchor to the defect, we demonstrate that the limit where gravity decouples from the anchor is continuous — in other words, as far as island physics is considered, weak gravity on the anchor is identical to no gravity. The weak and (moderately) strong gravity regions on the brane are separated by a “Dirichlet wall”. We find an intricate interplay between various extremal surfaces, with an island coming to the rescue whenever there is an information paradox. This is despite the presence of massless gravitons in the spectrum. The overall physics is consistent with the slogan that gravity becomes “more holographic”, as it gets stronger. Our observations strengthen the case that the conventional Page curve is indeed of significance, when discussing the information paradox in flat space. We work in high enough dimensions so that the graviton is non-trivial, and our results are in line with the previous discussions on gravitating baths in arXiv:2005.02993 and arXiv:2007.06551.

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“…We conclude by noting some of the latest works on the information paradox, as a point of entry into the recent developments [45][46][47][48][49][50][51][52].…”

Section: Jhep08(2021)119mentioning

confidence: 99%

Dirichlet baths and the not-so-fine-grained Page curve

Ghosh

Krishnan

2021

J. High Energ. Phys.

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“…As an incomplete summary, except for the well-known doubly holographic model as well as the replica wormhole [13,[31][32][33][34], for instance, more on evaporation models and details are explored in [35][36][37][38][39][40]. Meanwhile, higher dimensional black hole cases are considered in [41][42][43][44][45][46][47][48] as well as higher derivative gravity [49,50]. Interestingly, the page curve can be realized in the moving mirror scenario [51][52][53], and other quantum information or thermodynamic quantities except entanglement entropy are investigated within island formula [54][55][56][57][58][59][60][61][62].…”

Section: Introductionmentioning

confidence: 99%

The universality of islands outside the horizon

He,

Sun,

Zhao

et al. 2021

Preprint

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We systematically calculate the quantum extremal surface (QES) associated with Hawking radiation for general D-dimensional (D ≥ 2) asymptotically flat (or AdS) eternal black holes using the island formula. We collect the Hawking radiation particles by a non-gravitational bath and find that a QES exists in the near-horizon region outside the black hole when c • G (D) is smaller enough where c is the central charge of the conformal matter and G (D) the D-dimensional Newton constant. The locations of the QES in these backgrounds are obtained and the late-time radiation entropy saturates the two times of black hole entropy. Finally, we numerically check that the no island configuration exists once c•G (D) exceeds a certain upper bound in two-dimensional generalized dilaton theories (GDT).

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“…We also note that the mere existence of solutions to (3.1) in standard theories of long-range gravity [41,45,[85][86][87] cannot be used to conclude that such theories must exhibit a Page curve or have islands as entanglement wedges. The physical interpretation of such solutions is unclear since the island rule has not been justified in standard theories of gravity.…”

Section: Jhep01(2022)182mentioning

confidence: 98%

Inconsistency of islands in theories with long-range gravity

Geng

Karch

Perez-Pardavila

et al. 2022

J. High Energ. Phys.

125

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In ordinary gravitational theories, any local bulk operator in an entanglement wedge is accompanied by a long-range gravitational dressing that extends to the asymptotic part of the wedge. Islands are the only known examples of entanglement wedges that are disconnected from the asymptotic region of spacetime. In this paper, we show that the lack of an asymptotic region in islands creates a potential puzzle that involves the gravitational Gauss law, independently of whether or not there is a non-gravitational bath. In a theory with long-range gravity, the energy of an excitation localized to the island can be detected from outside the island, in contradiction with the principle that operators in an entanglement wedge should commute with operators from its complement. In several known examples, we show that this tension is resolved because islands appear in conjunction with a massive graviton. We also derive some additional consistency conditions that must be obeyed by islands in decoupled systems. Our arguments suggest that islands might not constitute consistent entanglement wedges in standard theories of massless gravity where the Gauss law applies.

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Islands and Page curves of Reissner-Nordström black holes

Cited by 89 publications

References 60 publications

Dirichlet baths and the not-so-fine-grained Page curve

Dirichlet baths and the not-so-fine-grained Page curve

The universality of islands outside the horizon

Inconsistency of islands in theories with long-range gravity

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