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In Einstein gravity, matter with an arbitrarily small density can be a black hole. Pressure in the star diverges if size of the star is smaller than 9/8 of the Schwarzschild radius, implying the gravitational collapse into a black hole. By…

High Energy Physics - Theory · Physics 2026-03-27 Yoshinori Matsuo

We show that the repulsive effects associated to the zero-point energies of quantum fields are capable of supporting ultracompact stars that overcome the compactness limits present in general relativity for any object in hydrostatic…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Julio Arrechea , Carlos Barceló

A semiclassical investigation of the electromagnetic radiation emitted by a charged particle in a radially freely falling motion in Schwarzschild spacetime is carried out. We use quantum field theory at tree level to obtain the…

General Relativity and Quantum Cosmology · Physics 2024-04-19 João P. B. Brito , Rafael P. Bernar , Atsushi Higuchi , Luís C. B. Crispino

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

We study spherically symmetric static solutions to the semi-classical Einstein equation sourced by the vacuum energy of quantum fields in the curved space-time of the same solution. We found solutions that are small deformations of the…

High Energy Physics - Theory · Physics 2018-03-14 Pei-Ming Ho , Yoshinori Matsuo

In a scalar-vector-gravity theory with the vector sector described by nonlinear electrodynamics, the field equations are integrated using the well-known gravitational decoupling method. The resulting spacetime corresponds to a spherically…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Manuel Gonzalez-Espinoza , Y. Gómez-Leyton , Z. Stuchlik , Francisco Tello-Ortiz

We find that the end state of black hole evaporation could be represented by non-singular and without event horizon stable solitonic remnants with masses of the order the Planck scale and up to 16 units of charge. Though these objects are…

High Energy Physics - Theory · Physics 2013-07-10 Francisco S. N. Lobo , Gonzalo J. Olmo , D. Rubiera-Garcia

We consider a spherical symmetric black hole in the Schwarzschild metric and apply Bohr-Sommerfeld quantization to determine the energy levels. The canonical partition function is then computed and we show that the entropy coincides with…

High Energy Physics - Theory · Physics 2010-11-19 Marco Frasca

It is the goal of this thesis to revisit and revise the problem of black hole formation and evolution in semiclassical gravity -- a theory in which spacetime is treated classically, while matter admits a quantum description, coupling to…

General Relativity and Quantum Cosmology · Physics 2023-06-13 Valentin Boyanov

In spherical symmetry, solutions of the semiclassical Einstein equations belong to one of two possible classes. Both classes contain solutions that -- depending on the dynamic behavior of the horizon -- describe evaporating physical black…

General Relativity and Quantum Cosmology · Physics 2022-03-10 Pravin K. Dahal , Sebastian Murk , Daniel R. Terno

We use a Hamiltonian version of the semiclassical Einstein equation to study classical gravity coupled to a quantum scalar field with potential in spherical symmetry. The system is defined by effective constraints where the matter terms are…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Irfan Javed , Viqar Husain

We consider the quantization of the complete extension of the Schwarzschild space-time using spherically symmetric loop quantum gravity. We find an exact solution corresponding to the semi-classical theory. The singularity is eliminated but…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rodolfo Gambini , Jorge Pullin

Quantum stress-energy tensors of fields renormalized on a Schwarzschild background violate the classical energy conditions near the black hole. Nevertheless, the associated equilibrium thermodynamical entropy $\Delta S$ by which such fields…

General Relativity and Quantum Cosmology · Physics 2009-12-30 David Hochberg , Thomas Kephart , James W. York

Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein- Langevin…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu , E. Verdaguer

The classical singularity theorems of General Relativity rely on energy conditions that are easily violated by quantum fields. Here, we provide motivation for an energy condition obeyed in semiclassical gravity: the smeared null energy…

General Relativity and Quantum Cosmology · Physics 2021-10-25 Eleni-Alexandra Kontou , Ben Freivogel , Dimitrios Krommydas

The semiclassical Einstein equations are solved to first order in $\epsilon = \hbar/M^2$ for the case of an extreme or nearly extreme Reissner-Nordstr\"{o}m black hole perturbed by the vacuum stress-energy of quantized free fields. It is…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Paul R. Anderson , William A. Hiscock , Brett E. Taylor

We discuss semiclassical states in quantum gravity corresponding to Schwarzschild as well as Reissner Nordstr\"om black holes. We show that reduced quantisation of these models is equivalent to Wheeler-DeWitt quantisation with a particular…

General Relativity and Quantum Cosmology · Physics 2009-10-28 T. Brotz , C. Kiefer

Within a semiclassical framework, we investigate spherically symmetric solutions of the Einstein equations that (i) develop a trapped region within a finite time as measured by distant observers, and (ii) remain sufficiently regular at the…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Swayamsiddha Maharana , Rama Vadapalli

With the back reaction of the vacuum energy-momentum tensor consistently taken into account, we study static spherically symmetric black-hole-like solutions to the semi-classical Einstein equation. The vacuum energy is assumed to be given…

High Energy Physics - Theory · Physics 2018-04-18 Pei-Ming Ho , Yoshinori Matsuo

We study the backreaction of quantum fields induced through the vacuum polarization and the conformal anomaly on the collapse of a thin shell of dust. It is shown that the final fate of the collapse process depends on the physical…

High Energy Physics - Theory · Physics 2023-07-19 Moslem Shafiee , Yousef Bahrampour