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Related papers: Page Curve for an Evaporating Black Hole

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Hawking's model of black hole evaporation is not unitary and leads to a mixed density matrix for the emitted radiation, while the Page model describes a unitary evaporation process in which the density matrix evolves from an almost thermal…

High Energy Physics - Theory · Physics 2015-09-02 Lasma Alberte , Ram Brustein , Andrei Khmelnitsky , A. J. M. Medved

Callan, Giddings, Harvey and Strominger have proposed an interesting two dimensional model theory that allows one to consider black hole evaporation in the semi-classical approximation. They originally hoped the black hole would evaporate…

High Energy Physics - Theory · Physics 2010-11-01 S. W. Hawking

We investigate a recently proposed model for a full quantum description of two-dimensional black hole evaporation, in which a reflecting boundary condition is imposed in the strong coupling region. It is shown that in this model each…

High Energy Physics - Theory · Physics 2009-10-22 Kareljan Schoutens , Erik Verlinde , Herman Verlinde

We investigate the Page curve for a non-standard black hole which is asymptotically non-flat/AdS/dS. For this purpose, we apply the island prescription to the charged linear dilaton black holes and analyze, in detail, the entanglement…

High Energy Physics - Theory · Physics 2024-07-01 Byoungjoon Ahn , Sang-Eon Bak , Hyun-Sik Jeong , Keun-Young Kim , Ya-Wen Sun

We study the islands and the Page curve in the 1+1-dimensional eternal dilaton black hole models. Without islands, the entanglement entropy of the radiation grows linearly at late time. However with an island, its growth stops at the value…

High Energy Physics - Theory · Physics 2020-08-26 Takanori Anegawa , Norihiro Iizuka

Classical black holes are defined by the property that things can go in, but don't come out. However, Stephen Hawking calculated that black holes actually radiate quantum mechanical particles. The two important ingredients that result in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jennie Traschen

Explicitly computed Penrose diagrams are plotted for a classical model of black hole formation and evaporation, in which black holes form by the accretion of infalling spherical shells of matter and subsequently evaporate by emitting…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Joseph C Schindler , Anthony Aguirre , Amita Kuttner

Recent work by Headrick, Sasieta and myself provides an extension of the HRT formula for asymptotically flat spacetimes. I use this formula to construct a holographic model of black hole evaporation in four-dimensional asymptotically flat…

High Energy Physics - Theory · Physics 2026-05-26 Divij Gupta

The formation and quantum mechanical evaporation of black holes in two spacetime dimensions can be studied using effective classical field equations, recently introduced by Callan {\it et al.} We find that gravitational collapse always…

High Energy Physics - Theory · Physics 2008-11-26 J. Russo , L. Susskind , L. Thorlacius

We investigate the thermodynamics and the classical and semiclassical dynamics of two-dimensional ($2\text{D}$), asymptotically flat, nonsingular dilatonic black holes. They are characterized by a de Sitter core, allowing for the smearing…

High Energy Physics - Theory · Physics 2023-07-06 Mariano Cadoni , Mauro Oi , Andrea Pierfrancesco Sanna

We study the Page curve and the effect of the Hawking-Page phase transition in the Vaidya model of evaporating BTZ black holes, both with and without islands. The phase transition can occur before, at, or after the Page time. When it occurs…

High Energy Physics - Theory · Physics 2026-05-12 Dao-Quan Sun

Black hole space times evaporate in discrete steps due to remarkably slow Hawking radiation. We here identify evaporation with essentially extremal states at the limit of quantum computation, performing $2.7\times 10^{79}$ bit calculations…

General Relativity and Quantum Cosmology · Physics 2015-11-12 Maurice H. P. M. van Putten

We consider Hawking radiation as due to a tunneling process in a black hole were quantum corrections, derived from Quantum Einstein Gravity, are taken into account. The consequent derivation, satisfying conservation laws, leads to a…

General Relativity and Quantum Cosmology · Physics 2015-06-16 R. Torres , F. Fayos , O. Lorente-Espin

A simple classical consideration of black hole formation and evaporation times focusing solely on the frame of an observer at infinity demonstrates that an infall cutoff outside the event horizon of a black hole must be imposed in order for…

General Relativity and Quantum Cosmology · Physics 2015-04-13 Borun D. Chowdhury , Lawrence M. Krauss

Charged particle emission from black holes with sufficiently large charge is exponentially suppressed. As a result, such black holes are driven towards extremality by the emission of neutral Hawking radiation. Eventually, an isolated black…

High Energy Physics - Theory · Physics 2024-11-07 Adam R. Brown , Luca V. Iliesiu , Geoff Penington , Mykhaylo Usatyuk

These lecture notes are an elementary and pedagogical introduction to the black hole evaporation, based on a lecture given by the author at the Ninth Modave Summer School in Mathematical Physics and are intended for PhD students. First,…

General Relativity and Quantum Cosmology · Physics 2014-01-17 Pierre-Henry Lambert

We construct a dilatonic two-dimensional model of a charged black hole. The classical solution is a static charged black hole, characterized by two parameters, $m$ and $q$, representing the black hole's mass and charge. Then we study the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Amos Ori

Black hole evaporation is one of the most striking phenomena at the interface between gravity and quantum physics. In Hawking's semi-classical treatment, where matter is quantum mechanical and the spacetime is definite and classical,…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Ali Akil , Lorenzo Giannelli , Leonardo Modesto , Oscar Dahlsten , Giulio Chiribella , Caslav Brukner

A theory of quantum gravity is expected to change profoundly our understanding of black holes. Quantum theory has already shown, as a first approximation, that a black hole slowly evaporates. Non-perturbative quantum gravity also predicts…

General Relativity and Quantum Cosmology · Physics 2020-09-04 Pierre Martin-Dussaud

The puzzles of black hole evaporation can be studied in the simplified context of 1+1 dimensional gravity. The semi-classical equations of Callan, Giddings, Harvey and Strominger provide a consistent description of the evaporation process…

High Energy Physics - Theory · Physics 2008-11-26 L. Susskind , L. Thorlacius