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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 develop a perturbation theory for surfaces confining photons and massive particles in static spherically symmetric spacetimes in terms of two parameters: the mass-to-energy ratio and the deviation of metric functions from a given form,…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Kirill Kobialko , Dmitri Gal'tsov

In a previous paper, we studied the interior solution of a collapsing body in a non-local theory of gravity super-renormalizable at the quantum level. We found that the classical singularity is replaced by a bounce, after which the body…

General Relativity and Quantum Cosmology · Physics 2016-04-28 Cosimo Bambi , Daniele Malafarina , Leonardo Modesto

We show that four-dimensional black holes become stable below certain mass when the Einstein-Hilbert action is supplemented with higher-curvature terms. We prove this to be the case for an infinite family of ghost-free theories involving…

High Energy Physics - Theory · Physics 2017-07-26 Pablo Bueno , Pablo A. Cano

We present a method for solving the constraint equations in the Hassan-Rosen bimetric theory to determine the initial data for the gravitational collapse of spherically symmetric dust. The setup leads to equations similar to those for a…

General Relativity and Quantum Cosmology · Physics 2025-03-24 Mikica Kocic , Francesco Torsello , Marcus Högås , Edvard Mortsell

We construct a self-consistent model which describes a black hole from formation to evaporation including the back reaction from the Hawking radiation. In the case where a null shell collapses, at the beginning the evaporation occurs, but…

High Energy Physics - Theory · Physics 2015-06-15 Hikaru Kawai , Yoshinori Matsuo , Yuki Yokokura

Formulating a dust filled spherically symmetric metric utilizing the 3+1 formalism for general relativity, we show that the metric coefficients are completely determined by the matter distribution throughout the spacetime. Furthermore, the…

General Relativity and Quantum Cosmology · Physics 2011-11-09 Paul Lasky , Anthony Lun , Raymond Burston

This paper is devoted to investigate gravitational collapse of dust in metric $f(R)$ gravity. We take FRW metric for the interior region while the Schwarzchild spacetime is considered for the exterior region of a star. The junction…

General Relativity and Quantum Cosmology · Physics 2015-07-06 M. Farasat Shamir , Zahid Ahmad , Zahid Raza

Unitarity implies that the evaporation of microscopic quasi-classical black holes cannot be universal in different particle species. This creates a puzzle, since it conflicts with the thermal nature of quasi-classical black holes, according…

High Energy Physics - Theory · Physics 2009-11-06 Gia Dvali , Oriol Pujolas

Classical elasticity is concerned with bodies that can be modeled as smooth manifolds endowed with a reference metric that represents local equilibrium distances between neighboring material elements. The elastic energy associated with a…

Materials Science · Physics 2015-06-30 Raz Kupferman , Michael Moshe , Jake P. Solomon

The interior of a static Schwarzschild metric can be written in terms of two functions, similar to some models of anisotropic cosmology. With a suitable choice of canonical variables, we solve the Wheeler-DeWitt equation (WDW) inside the…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Mariam Bouhmadi-López , Suddhasattwa Brahma , Che-Yu Chen , Pisin Chen , Dong-han Yeom

Within the framework of general relativity, we explore the interior of the Schwarzschild black hole before complete collapse occurs, finding that the exterior is perfectly compatible with a source much more complex than a pointlike mass. We…

General Relativity and Quantum Cosmology · Physics 2024-05-14 J. Ovalle

Collapse models are phenomenological models introduced to solve the measurement problem in quantum mechanics. They modify the Schr\"odinger equation by adding non-linear and stochastic terms, which induce the wavefunction collapse in space.…

Quantum Physics · Physics 2025-08-27 Matteo Carlesso , Sandro Donadi

Einstein's equations imply that a gravitationally collapsed object forms an event horizon. But what lies on the other side of this horizon? In this paper, we question the reality of the conventional solution (the black hole), and point out…

High Energy Physics - Theory · Physics 2025-05-22 Kostas Tzanavaris , Latham Boyle , Neil Turok

If an evaporating black hole does not settle down to a non radiating remnant, a description by a semi classical Lorentz metric must contain either a naked singularity or what we call a thunderbolt, a singularity that spreads out to infinity…

High Energy Physics - Theory · Physics 2010-11-01 S. W. Hawking , J. M. Stewart

We have recently proposed a model for a regular black hole, or an ultra-compact object, that is premised on having maximally negative radial pressure throughout the entirety of the object's interior. This model can be viewed as that of a…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Ram Brustein , A. J. M. Medved , Tamar Simhon

We study the evaporation of black holes in space-times with extra dimensions of size L. We first obtain a description which interpolates between the expected behaviors of very large and very small black holes and then show that the…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Casadio , Benjamin Harms

We study the perturbations of two classes of static black ellipsoid solutions of four dimensional vacuum Einstein equations. Such solutions are described by generic off--diagonal metrics which are generated by anholonomic transforms of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sergiu I. Vacaru

The minimum testable dark matter (DM) mass for almost all DM signatures in celestial bodies is determined by the rate at which DM evaporates. DM evaporation has previously been calculated assuming a competition between the gravitational…

High Energy Physics - Phenomenology · Physics 2024-06-05 Javier F. Acevedo , Rebecca K. Leane , Juri Smirnov

We consider a system representing self-gravitating balls of dust in an expanding Universe. It is demonstrated that one can prescribe data for such a system at infinity and evolve it backward in time without the development of shocks or…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Shabnam Beheshti , Mikael Normann , Juan Valiente Kroon