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We study the magnitude of semiclassical gravity effects near the formation of a black-hole horizon in spherically-symmetric spacetimes. As a probe for these effects we use a quantised massless scalar field. Specifically, we calculate two…

General Relativity and Quantum Cosmology · Physics 2019-11-07 Carlos Barceló , Valentin Boyanov , Raúl Carballo-Rubio , Luis J. Garay

We explore in detail the semiclassical environment of collapsing shells of matter, and determine the semiclassical flux measured by a variety of observers. This study is a preliminary step in a broader investigation of thermodynamic…

General Relativity and Quantum Cosmology · Physics 2009-12-14 Kinjal Banerjee , Aseem Paranjape

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…

General Relativity and Quantum Cosmology · Physics 2013-12-11 Adam Levi , Amos Ori

We study black hole formation and evaporation in a four-dimensional semiclassical model that preserves diffeomorphism invariance and reproduces the one-loop trace anomaly. Solving the quantum-corrected Einstein equations for the collapse of…

High Energy Physics - Theory · Physics 2026-05-04 David A. Lowe , Larus Thorlacius

We study analytically the spacetime geometry of the black-hole formation and evaporation. As a simplest model of the collapse, we consider a spherical thin shell, and take the back-reaction from the negative energy of the quantum vacuum…

High Energy Physics - Theory · Physics 2020-08-05 Pei-Ming Ho , Yoshinori Matsuo , Yuki Yokokura

We analyze and compute the semiclassical stress-energy flux components, the outflux $\langle T_{uu}\rangle$ and the influx $\langle T_{vv}\rangle$ ($u$ and $v$ being the standard null Eddington coordinates), at the inner horizon (IH) of a…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Noa Zilberman , Amos Ori

In this work we obtain a numerical self-consistent spherical solution of the semiclassical Einstein equations representing the evaporation of a trapped region which initially has both an outer and an inner horizon. The classical matter…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Valentin Boyanov , David Hilditch , Artur Semião

In an ongoing effort to explore quantum effects on the interior geometry of black holes, we explicitly compute the semiclassical flux components $\left\langle T_{uu}\right\rangle _{ren}$ and $\left\langle T_{vv}\right\rangle _{ren}$ ($u$…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Noa Zilberman , Adam Levi , Amos Ori

Semiclassical black hole emission in four spacetime dimensions is studied using a non-local effective action. The field equations that determine the time-dependent renormalized stress tensor are solved numerically for a black hole formed by…

High Energy Physics - Theory · Physics 2025-12-19 David A. Lowe , Larus Thorlacius

We extend the classic results of the paper P. C. W. Davies, S. A. Fulling, and W. G. Unruh "Energy-momentum tensor near an evaporating black hole" by considering a massive scalar field in a two dimensions in the presence of a thin shell…

High Energy Physics - Theory · Physics 2021-09-22 O. Diatlyk

In this work we analyse the backreaction of a quantum field on a spherically symmetric black hole geometry with an inner horizon, i.e. an internal boundary of the trapped region. We start with a black hole background with an inner horizon…

General Relativity and Quantum Cosmology · Physics 2021-05-12 Carlos Barceló , Valentin Boyanov , Raúl Carballo-Rubio , Luis J. Garay

We study the quantum-mechanical decay of a Schwarzschild-like black hole into almost-flat space and weak radiation at a very late time, evaluating quantum amplitudes (not just probabilities) for transitions from initial to final states. No…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. N. St. J. Farley , P. D. D'Eath

This is the first of two papers presenting different versions of quasi-classical toy models for the non-singular evolution of the geometry and the associated effective stress-energy tensor for a spherically symmetric black hole that evolves…

General Relativity and Quantum Cosmology · Physics 2020-07-01 James M. Bardeen

We investigate numerically spherically symmetric collapse of a scalar field in the semi-classical approximation. We first verify that our code reproduces the critical phenomena (the Choptuik effect) in the classical limit and black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shai Ayal , Tsvi Piran

The formation and semi-classical evaporation of two-dimensional black holes is studied in an exactly solvable model. Above a certain threshold energy flux, collapsing matter forms a singularity inside an apparent horizon. As the black hole…

High Energy Physics - Theory · Physics 2009-10-07 J. Russo , L. Susskind , L. Thorlacius

We combine analytical and numerical techniques to study the collapse of conformally coupled massless scalar fields in semiclassical 2D dilaton gravity, with emphasis on solutions just below criticality when a black hole almost forms. We…

High Energy Physics - Theory · Physics 2009-10-30 Sukanta Bose , Leonard Parker , Yoav Peleg

In the semi-classical treatment, i.e. in a classical black hole geometry, Hawking quanta emerge from trans-Planckian configurations because of scale invariance. There is indeed no scale to stop the blue-shifting effect encountered in the…

High Energy Physics - Theory · Physics 2008-11-26 Renaud Parentani

A reformulation of the calculation of the semi-classical energy-momentum tensor on a Schwarzschild background, the Bousso covariant entropy bound, and the ER=EPR conjecture of Maldacena and Susskind taken together suggest a scenario for the…

General Relativity and Quantum Cosmology · Physics 2014-06-17 James M. Bardeen

We provide a detailed analysis of quantum field theory around a collapsing shell and discuss several conceptual issues related to the emission of radiation flux and formation of black holes. Explicit calculations are performed using a model…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Aseem Paranjape , T. Padmanabhan

We construct an analytic model of static semiclassical backreaction for a Schwarzschild black hole in the Hartle--Hawking state enclosed within a finite spherical cavity. Using a minimal renormalized stress--energy tensor consistent with…

General Relativity and Quantum Cosmology · Physics 2026-04-14 G. G. L. Nashed , Alnadhief H. A. Alfedeel , Tiberiu Harko
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