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There is an exact correspondence between the simplest solution to Einstein's equations describing the formation of a black hole and a particular moving mirror trajectory. In both cases the Bogolubov coefficients in 1+1 dimensions are…

General Relativity and Quantum Cosmology · Physics 2018-07-27 Michael R. R. Good , Paul R. Anderson , Charles R. Evans

An exact correspondence between a black hole and an accelerating mirror is demonstrated. It is shown that for a massless minimally coupled scalar field the same Bogolubov coefficients connecting the "in" and "out" states occur for a (1+1)D…

General Relativity and Quantum Cosmology · Physics 2016-09-26 Michael R. R. Good , Paul R. Anderson , Charles R. Evans

A new solution of a unitary moving mirror is found to produce finite energy and emit thermal radiation despite the absence of an acceleration horizon. In the limit that the mirror approaches the speed of light, the model corresponds to a…

General Relativity and Quantum Cosmology · Physics 2017-03-07 Michael R. R. Good , Khalykbek Yelshibekov , Yen Chin Ong

A unitary effective field model of the black hole evaporation is proposed to satisfy almost the four postulates of the black hole complementarity (BHC). In this model, we enlarge a black hole-scalar field system by adding an extra radiation…

High Energy Physics - Theory · Physics 2014-12-17 Yu-Lei Feng , Yi-Xin Chen

We present a model for studying the formation and evaporation of non-singular (quantum corrected) black holes. The model is based on a generalized form of the dimensionally reduced, spherically symmetric Einstein--Hilbert action and…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Tim Taves , Gabor Kunstatter

We describe a model for unitary black hole evaporation with no information loss in terms of a quantum computation. We assume that there is a fine tuned interaction between the qubits of the black hole Bell states which is the inverse of…

High Energy Physics - Theory · Physics 2020-11-03 Edi Halyo

We study the Hawking radiation for the geometry of an evaporating 1+1 dimensional black hole. We compute Bogoliubov coefficients and the stress tensor. We use a recent result of Srednicki to estimate the entropy of entanglement produced in…

High Energy Physics - Theory · Physics 2010-11-01 Esko Keski-Vakkuri , Samir D. Mathur

Black holes evolve by evaporation of their event horizon. While this process is believed to be unitary, there is no consensus on the recovery of information in black hole entropy. A missing link is a unit of information in black hole…

High Energy Physics - Theory · Physics 2023-11-01 Maurice H. P. M. van Putten

We investigate the evaporation of an uncharged and non-rotating black hole (BH) in vacuum, by taking into account the effects given by the shrinking of the horizon area. These include the back-reaction on the metric and other smaller…

General Relativity and Quantum Cosmology · Physics 2023-05-04 Michael R. R. Good , Alessio Lapponi , Orlando Luongo , Stefano Mancini

We present a modified Schwarzschild solution for a model of evaporation of a black hole with information preservation. By drawing a direct analogy to the quantum pure accelerating mirror (dynamical Casimir effect of a 1D horizon), we derive…

General Relativity and Quantum Cosmology · Physics 2021-04-12 Michael R. R. Good , Eric V. Linder

The moving mirror model is designed to extract essential features of the black hole formation and the subsequent Hawking radiation by neglecting complication due to a finite curvature. We extend this approach to dynamically treat back…

High Energy Physics - Theory · Physics 2017-02-01 M. Hotta , M. Shino , M. Yoshimura

An exact correspondence is shown between a new moving mirror trajectory in (1+1)D and a spacetime in (1+1)D in which a black hole forms from the collapse of a null shell. It is shown that the Bogolubov coefficients between the "in" and…

General Relativity and Quantum Cosmology · Physics 2018-07-27 Paul R. Anderson , Michael R. R. Good , Charles R. Evans

This thesis is a review of black hole evaporation with emphasis on recent results obtained for two dimensional black holes. First, the geometry of the most general stationary black hole in four dimensions is described and some classical…

High Energy Physics - Theory · Physics 2007-05-23 Farid Benachenhou

Erasing a black hole leaves spacetime flat, so light passing through the region before any star forms and after black hole's evaporation shows no time delay, just like a flying mirror that returns to its initial starting point. Quantum…

Quantum Physics · Physics 2025-03-12 Ahsan Mujtaba , Evgenii Ievlev , Matthew J. Gorban , Michael R. R. Good

Recently, several simple quantum mechanical toy models of black hole evaporation have appeared in the literature attempting to illuminate the black hole information paradox. We present a general class of models that is large enough to…

High Energy Physics - Theory · Physics 2012-08-27 Steven G. Avery

We study the analogy between the Hawking radiation in Black-Holes and the Quantum depletion process of a Bose-Einstein condensate by using the Bogoliubov transformations method. We find that the relation between the Bogoliubov coefficients…

Quantum Gases · Physics 2020-12-17 Ivan Arraut

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

We investigate the black hole thermodynamics in a "deformed" relativity framework where the energy-momentum dispersion law is Lorentz-violating and the Schwarzchild-like metric is momentum-dependent with a Planckian cut-off. We obtain net…

General Relativity and Quantum Cosmology · Physics 2009-05-22 G. Salesi , E. Di Grezia

Continuity across the shock wave of two regions in the metric during the formation of a black hole can be relaxed in order to achieve information preservation. A Planck scale sized spacetime discontinuity leads to unitarity (a constant…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Michael R. R. Good

The question of whether Hawking evaporation violates unitarity, and therefore results in the loss of information, remains unresolved since Hawking's seminal discovery. So far the investigations remain mostly theoretical since it is almost…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Pisin Chen , Gerard Mourou
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