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The two-body problem in general relativity is reduced to the problem of an effective particle (with an energy-dependent relativistic reduced mass) in an external field. The effective potential is evaluated from the Born diagram of the…

General Relativity and Quantum Cosmology · Physics 2019-03-26 Amar Maheshwari , Emil Nissimov , Ivan Todorov

We propose a quantum gravity equation owing to the geometrical quantization of general relativity, namely the Schr\"{o}dinger-Einstein equation. Quantum effects of a Schwarzschild black hole are demonstrated by solving the quantum equation…

General Physics · Physics 2022-05-24 Yoshimasa Kurihara

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

Unparticle degrees of freedom, no matter how weakly coupled to the standard model particles, must affect the evolution of a black hole, which thermally decays into all available degrees of freedom. We develop a method for calculating the…

General Relativity and Quantum Cosmology · Physics 2009-11-06 De-Chang Dai , Dejan Stojkovic

As shown recently 2d quantum gravity theories -- including spherically reduced Einstein-gravity -- after an exact path integral of its geometric part can be treated perturbatively in the loops of (scalar) matter. Obviously the classical…

High Energy Physics - Theory · Physics 2009-11-07 D. Grumiller

In this paper, the study of canonical quantization of a free real massive scalar field in the Schwarzschild spacetime is continued. The normalization constants for the eigenfunctions of the corresponding radial equation are calculated,…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Mikhail N. Smolyakov

The definition of matter states on spacelike hypersurfaces of a 1+1 dimensional black hole spacetime is considered. The effect of small quantum fluctuations of the mass of the black hole due to the quantum nature of the infalling matter is…

High Energy Physics - Theory · Physics 2010-11-01 E. Keski-Vakkuri , G. Lifschytz , S. D. Mathur , M. E. Ortiz

I reconsider Hawking's analysis of the effects of gravitational collapse on quantum fields, taking into account interactions between the fields. The ultra-high energy vacuum fluctuations, which had been considered to be an awkward…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Adam D. Helfer

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general relativity, when the massive particles are in a…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nils Siemonsen , Justin Vines

We study the corpuscular model of an evaporating black hole consisting of a specific quantum state for a large number $N$ of self-confined bosons. The single-particle spectrum contains a discrete ground state of energy $m$ (corresponding to…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Roberto Casadio , Andrea Giugno , Alessio Orlandi

We compute the absorption cross section and the total power carried by gravitons in the evaporation process of a higher-dimensional non-rotating black hole. These results are applied to a model of extra dimensions with standard model fields…

High Energy Physics - Theory · Physics 2009-11-11 Vitor Cardoso , Marco Cavaglia , Leonardo Gualtieri

In this work, energy distribution and thermodynamics are investigated in the Schwarzschild black hole spacetime when considering corrections due to quantum vacuum fluctuations. The Einstein and M{\o}ller prescriptions were used to derive…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Mahamat Saleh , Bouetou Bouetou Thomas , Kofane Timoleon Crepin

We explore the collision between two concentric spherical thin shells. The inner shell is charged, whereas the outer one is either neutral or charged. In the situation we consider, the charge of the inner shell is larger than its…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ken-ichi Nakao , Masashi Kimura , Mandar Patil , Pankaj S. Joshi

We develop the idea that, in quantum gravity where the horizon fluctuates, a black hole should have a discrete mass spectrum with concomitant line emission. Simple arguments fix the spacing of the lines, which should be broad but unblended.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jacob D. Bekenstein , V. F. Mukhanov

We consider a quantum circuit model describing the evaporation process of black holes. We specifically examine the behavior of the multipartite entanglement represented by this model, and find that the entanglement structure depends on the…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Tomoro Tokusumi , Akira Matsumura , Yasusada Nambu

We consider propagation of a two-level atom coupled to one electro-magnetic mode of a high-Q cavity. The atomic center-of-mass motion is treated quantum mechanically and we use a standing wave shape for the mode. The periodicity of the…

Quantum Physics · Physics 2009-11-11 Jonas Larson , Janne Salo , Stig Stenholm

We address the question whether or not two electrically charged elementary particles can Coulomb scatter if one of these particles is inside the Schwarzschild black-hole horizon and the other outside. It can be shown that the quantum…

High Energy Physics - Theory · Physics 2018-06-26 V. A. Emelyanov , F. R. Klinkhamer

We investigate the absorption cross sections of electromagnetic perturbations propagating on a four-dimensional brane in the background of higher-dimensional regular black holes arising in quasi-topological gravity. Employing a WKB-based…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Juan Pablo Arbelaez

We present a method for computing the evolution of a spacetime containing a massive particle and a black hole. The essential idea is that the gravitational field is evolved using full numerical relativity, with the particle generating a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nigel T. Bishop , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

Heckler has recently argued that the Hawking radiation emitted from microscopic black holes has sufficiently strong interactions above a certain critical temperature that it forms a photosphere, analogous to that of the sun. In this case,…

High Energy Physics - Phenomenology · Physics 2016-08-25 James M. Cline , Michael Mostoslavsky , Geraldine Servant