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The correspondence principle and causality divide the spacetime of a macroscopic collapsing mass into three regions: classical, semiclassical, and ultraviolet. The semiclassical region covers the entire evolution of the black hole from the…

High Energy Physics - Theory · Physics 2009-11-11 G. A. Vilkovisky

In asymptotically-flat spacetimes, there is a clear distinction between radiative fluxes and Coulombic charges, and their relation is encoded in balance laws. In this paper, we first identify at the classical level the radiative energy flux…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Eugenio Bianchi , Daniel E. Paraizo

Two non-static solutions for three dimensional gravity coupled to matter fields are given. One describes the collapse of radiation that results in a black hole. This is the three dimensional analog of the Vaidya metric, and is used to…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Viqar Husain

We consider spherically symmetric gravity coupled to a spherically symmetric scalar field with a specific coupling which depends on the Areal Radius. Classical collapse is described by the Vaidya solution. The semiclassical Einstein…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Madhavan Varadarajan

The expectation-value equations for the collapse of a macroscopic, spherically symmetric, and uncharged body are integrated up to the limit of validity of semiclassical theory. The collapse finishes with a true stable black hole of the mass…

High Energy Physics - Theory · Physics 2008-11-26 G. A. Vilkovisky

This paper aims to propose a Cardy-like formula characterized by the mass, charge, and angular components of the black hole, along with their corresponding solitonic configuration, obtained through a double Wick rotation. The expression…

High Energy Physics - Theory · Physics 2025-10-29 Moises Bravo-Gaete , Fabiano F. Santos , Xiangdong Zhang

We study a black hole radiation inside the apparent horizon in quantum gravity. First we perform a canonical quantization for spherically symmetric geometry where one of the spatial coordinates is dealt as the time variable since we would…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Akio Hosoya , Ichiro Oda

The Bondi solution, which describes the radial inflow of a gas onto a non-rotating black hole, provides a powerful test for numerical relativistic codes. However, the Bondi solution is usually derived in Schwarzschild coordinates, which are…

General Relativity and Quantum Cosmology · Physics 2017-01-25 August J. Miller , Thomas W. Baumgarte

The semiclassical geometry of charged black holes is studied in the context of a two-dimensional dilaton gravity model where effects due to pair-creation of charged particles can be included in a systematic way. The classical mass-inflation…

High Energy Physics - Theory · Physics 2008-11-26 Andrei V. Frolov , Kristjan R. Kristjansson , Larus Thorlacius

We investigate the interaction between a non-rotating black hole and incoming gravitational waves using the characteristic formulation of the Einstein field equations, framed as a Bondi problem. By adopting retarded time as the null…

General Relativity and Quantum Cosmology · Physics 2025-05-16 H. P. de Oliveira

Large scale magnetic fields pervade the cosmic environment where the astrophysical black holes are often embedded and influenced by the mutual interaction. In this contribution we outline the appropriate mathematical framework to describe…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Vladimir Karas

In this paper we show that the entropy of black hole horizon in charged rotating BTZ space-time can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension.

High Energy Physics - Theory · Physics 2015-05-14 M. R. Setare , Mubasher Jamil

In this manuscript, we show that the external Schwarzschild metric can be a good approximation of exact black hole solutions of entangled relativity. Since entangled relativity cannot be defined from vacuum, the demonstrations need to rely…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Olivier Minazzoli , Edison Santos

We show that the semiclassical entropy of $D$-dimensional rotating (an)isotropic black holes with planar horizon can be successfully computed according to a Cardy-like formula. This formula does not refer to any central charges but instead…

High Energy Physics - Theory · Physics 2017-04-19 Moisés Bravo Gaete , Luis Guajardo , Mokhtar Hassaïne

At the classical level, two-dimensional dilaton gravity coupled to an abelian gauge field has charged black hole solutions, which have much in common with four-dimensional Reissner-Nordstrom black holes, including multiple asymptotic…

High Energy Physics - Theory · Physics 2009-11-11 Andrei V. Frolov , Kristjan R. Kristjansson , Larus Thorlacius

The entropy of charged black hole is calculated by using the partition function evaluated at radial geodesics confined under horizons. We establish two quantum phase states inside the black hole and a transition between them.

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. V. Kiselev

In a vacuum spacetime equips with the Bondi's radiating metric which is asymptotically flat at spatial infinity including gravitational radiation ({\bf Condition D}), we establish the relation between the ADM total linear momentum and the…

General Relativity and Quantum Cosmology · Physics 2007-12-24 Wen-ling Huang , Xiao Zhang

In this paper, we give a rigorous mathematical treatment of the late time Hawking radiation of massless bosons emitted by a class of collapsing, spherically symmetric, charged models of black hole formation, including both extremal and…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Frederick Alford

A model of nonlinear electrodynamics is proposed and investigated in general relativity. We consider the magnetic black hole and find a regular solution which gives corrections into the Reissner-Nordstr\"{o}m solution. At…

General Physics · Physics 2018-03-07 S. I. Kruglov

Semiclassical black holes emit radiation called Hawking radiation. Such radiation, as seen by an asymptotic observer far outside the black hole, differs from original radiation near the horizon of the black hole by a redshift factor and the…

Mathematical Physics · Physics 2015-06-12 Tritos Ngampitipan , Petarpa Boonserm
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