Approximate solution to the Callan-Giddings-Harvey-Strominger field equations for two-dimensional evaporating black holes

Ori, Amos

doi:10.1103/physrevd.82.104009

Cited by 11 publications

(22 citation statements)

References 13 publications

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“…This was also noted in the recent approximate solution to the CGHS equations by Ori [11]. The simulations provide values of the functions A(z − ), B(z − ) and y − (z − ).…”

Section: A Shell Collapse: Anticipated Behaviorsupporting

confidence: 60%

“…Finally, we note a scaling property of the mean field theory, which Ori recently and independently also uncovered [11]. We were led to it while attempting to interpret numerical results which at first seemed very puzzling; it is thus a concrete example of the how useful the interplay between numerical and analytical studies can be.…”

Section: Scaling and The Planck Regimementioning

confidence: 84%

“…It turns out that the fundamental equations of the mean field theory (and in fact also of the full quantum theory [7,8]) admit a scaling symmetry, which was discovered independently by Ori [11]. This has important consequences, which to our knowledge have not been fully appreciated before.…”

Section: B the Semi-classical Cghs Modelmentioning

confidence: 99%

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Evaporation of two-dimensional black holes

2011

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We present a detailed analysis of results from a new study of the quantum evaporation of CallanGiddings-Harvey-Strominger (CGHS) black holes within the mean field approximation. This semiclassical theory incorporates back reaction. Our analytical and numerical calculations show that, while some of the assumptions underlying the standard evaporation paradigm are borne out, several are not. One of the anticipated properties we confirm is that the semi-classical space-time is asymptotically flat at right future null infinity, I + R , yet incomplete in the sense that null observers reach a future Cauchy horizon in finite affine time. Unexpected behavior includes that the Bondi mass traditionally used in the literature can become negative even when the area of the horizon is macroscopic; an improved Bondi mass remains positive until the end of semi-classical evaporation, yet the final value can be arbitrarily large relative to the Planck mass; and the flux of the quantum radiation at I + R is non-thermal even when the horizon area is large compared to the Planck scale. Furthermore, if the black hole is initially macroscopic, the evaporation process exhibits remarkable universal properties. Although the literature on CGHS black holes is quite rich, these features had escaped previous analyses, in part because of lack of required numerical precision, and in part due to misinterpretation of certain properties and symmetries of the model. Finally, our results provide support for the full quantum scenario recently developed by Ashtekar, Taveras and Varadarajan, and also offer a number of interesting problems to the mathematical relativity and geometric analysis communities.

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“…This was also noted in the recent approximate solution to the CGHS equations by Ori [11]. The simulations provide values of the functions A(z − ), B(z − ) and y − (z − ).…”

Section: A Shell Collapse: Anticipated Behaviorsupporting

confidence: 60%

Section: Scaling and The Planck Regimementioning

confidence: 84%

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Evaporation of two-dimensional black holes

2011

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“…In this 2D frameworkT is known explicitly, allowing one to translate semiclassical dynamics into a closed system of partial differential equations [2]. Although the exact solution to these partial differential equations is not known explicitly, it is possible to explore these solutions numerically, and also through certain analytical approximations (see below) [3].…”

Section: Introductionmentioning

confidence: 99%

“…However, due to the backreaction of the semi-classicalT on the geometry, there is a finite-mass correction to the Hawking outflux (and hence to _ M), which again scales as 1=M. 3 This correction term for a 2D evaporating BH was calculated analytically [5] and also confirmed numerically [6,7]. It is remarkable that the leading-order (/1=M) finite-mass correction to the (otherwise-constant) outgoing component ofT is found to be exactly the same in the static and evaporating cases.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional semiclassical static black holes: Finite-mass correction to the Hawking temperature and outflux

Levi¹,

Ori²

2013

Phys. Rev. D

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In the two-dimensional framework, the surface gravity of a (classical) black hole is independent of its mass M. As a consequence, the Hawking temperature and outflux are also independent of M at the large-M limit. (This contrasts with the four-dimensional framework, in which the surface gravity and temperature scale as 1=M.) However, when the semiclassical backreaction effects on the black-hole geometry are taken into account, the surface gravity is no longer M independent, and the same applies to the Hawking temperature and outflux. This effect, which vanishes at the large-M limit, increases with decreasing M. Here we analyze the semiclassical field equations for a two-dimensional static black hole, and calculate the leading-order backreaction effect (/ 1=M) on the Hawking temperature and outflux. We then confirm our analytical result by numerically integrating the semiclassical field equations.

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An uneventful horizon in two dimensions

Almheiri

Sully

2014

J. High Energ. Phys.

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Abstract:We investigate the possibility of firewalls in the Einstein-dilaton gravity model of CGHS. We use the results of the numerical simulation carried out by Ashtekar et al. to demonstrate that firewalls are absent and the horizon is drama free. We show that the lack of a firewall is consistent because the model does not satisfy one of the postulates of black hole complementarity. In particular, we elaborate on previous work showing that the Hawking radiation is not pure, and is completely entangled with a long-lived remnant beyond the last ray.

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Approximate solution to the Callan-Giddings-Harvey-Strominger field equations for two-dimensional evaporating black holes

Cited by 11 publications

References 13 publications

Evaporation of two-dimensional black holes

Evaporation of two-dimensional black holes

Two-dimensional semiclassical static black holes: Finite-mass correction to the Hawking temperature and outflux

An uneventful horizon in two dimensions

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