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The Schr\"odinger equation of the Schwarzschild black hole (BH) shows that a BH is composed of a particle, the "electron", interacting with a central field, the "nucleus". Via de Broglie's hypothesis, one interprets the "electron" in terms…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Christian Corda

We study a quantum-corrected Schwarzschild black hole proposed recently in Loop Quantum Gravity. Prompted by the fact that corrections to the innermost stable circular orbit of Schwarzschild diverge, we investigate timelike and null radial…

General Relativity and Quantum Cosmology · Physics 2020-08-04 Valerio Faraoni , Andrea Giusti

We compute spectra, waveforms, angular distribution and total gravitational energy of the gravitiational radiation emitted during the radial infall of a massless particle into a Schwarzschild black hole. Our fully relativistic approach…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Vitor Cardoso , Jose' P. S. Lemos

The transition between (non supersymmetric) quantum string states and Schwarzschild black holes is discussed. This transition occurs when the string coupling $g^2$ (which determines Newton's constant) increases beyond a certain critical…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Thibault Damour

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

The central equations in classical general relativity are the Einstein Field Equations, which accurately describe not only the generation of pseudo-Riemannian curvature by matter and radiation manifesting as gravitational effects, but more…

General Relativity and Quantum Cosmology · Physics 2022-04-07 Godwill Mbiti Kanyolo , Titus Masese

Requiring that the matter fields are subject to the dominant energy condition, we establish the lower bound $(4\pi)^{-1} \kappa {\cal A}$ for the total mass $M$ of a static, spherically symmetric black hole spacetime. (${\cal A}$ and…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Heusler

In this paper we continue the investigations present in \cite{1} and \cite{2} concerning the spectrum of trapped gravitons in a spherical box, and in particular inside a Schwarzschild black hole (BH). We explore the possibility that, due to…

High Energy Physics - Theory · Physics 2018-03-05 Stefano Viaggiu

We study black hole radiation of a Reissner-Nordstrom black hole with an electric charge in the framework of quantum gravity. Based on a canonical quantization for a spherically symmetric geometry, under physically plausible assumptions, we…

High Energy Physics - Theory · Physics 2015-03-19 Ichiro Oda

We investigate the geodesic motion of charged particles in the vicinity of regular black holes with a Minkowski core, embedded in a uniform magnetic field, and study the influences of magnetic field and regular black hole parameter on the…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Mingyu Guo , Menghe Wu , Xiaomei Kuang , Hong Guo

We present a model for high energy two body scattering in a quantum theory of gravity. The model is applicable for center of mass energies higher than the relevant Planck scale. At impact parameters smaller than the Schwarzchild radius…

High Energy Physics - Theory · Physics 2007-05-23 Tom Banks , Willy Fischler

We study a black hole of mass $M$, enclosed within a spherical box, in equilibrium with its Hawking radiation. We show that the spacetime geometry inside the box is described by the Oppenheimer-Volkoff equations for radiation, except for a…

General Relativity and Quantum Cosmology · Physics 2016-01-28 Charis Anastopoulos , Ntina Savvidou

In this paper, we study the motion of neutral and electrically charged particles in the vicinity of a deformed-Schwarzschild black hole inspired by Loop Quantum Gravity (LQG). To examine the motion of an electrically charged test particle,…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Kourosh Nozari , Sara Saghafi , Milad Hajebrahimi , Kimet Jusufi

By using complex angular momentum techniques, we study the electromagnetic radiation generated by a charged particle falling radially from infinity into a Schwarzschild black hole. We consider both the case of a particle initially at rest…

General Relativity and Quantum Cosmology · Physics 2020-07-07 Antoine Folacci , Mohamed Ould El Hadj

In this paper we present a suitably adjusted Higgs-like mechanism producing black holes at, and beyond, the Planck energy. Planckian objects are difficult to classify either as "particles", or as "black holes", since the Compton wavelength…

High Energy Physics - Theory · Physics 2018-08-01 Euro Spallucci , Anais Smailagic

We compute gravitational radiation waveforms, spectra and energies for a point particle of mass $m_0$ falling from rest at radius $r_0$ into a Schwarzschild hole of mass $M$. This radiation is found to lowest order in $(m_0/M)$ with the use…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carlos O. Lousto , Richard H. Price

A massive body with the Schwarzschild interior metric (perfect fluid of constant density) develops a pressure singularity at the origin when the radius of the body $R$ approaches $9r_s/8$, where $r_s$ is the Schwarzschild radius. We show…

General Relativity and Quantum Cosmology · Physics 2012-10-29 V. V. Flambaum , G. H. Gossel , G. F. Gribakin

At the Planck scale the distinction between elementary particles and black holes becomes fuzzy. The very definition of a "quantum black hole" (QBH) is an open issue. Starting from the idea that, at the Planck scale, the radius of the event…

High Energy Physics - Theory · Physics 2021-03-09 Euro Spallucci , Anais Smailagic

The quantum black hole model with a self-gravitating spherically symmetric thin dust shell as a source is considered. The shell Hamiltonian constraint is written and the corresponding Schroedinger equation is obtained. This equation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Victor Berezin

Disturbing of a spacetime geometry may result in the appearance of an oscillating and damped radiation - the so-called quasinormal modes. Their periods of oscillations and damping coefficients carry unique information about the mass and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Karkowski , Edward Malec , Zdobyslaw Swierczynski