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We study scattering of waves by black holes. Solving a massless scalar field with a point source in the Schwarzschild spacetime, waves scattered by the black hole is obtained numerically. We then reconstruct images of the black hole from…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Ken-ichiro Kanai , Yasusada Nambu

In this paper we follow a new approach for particle creation by a localized strong gravitational field. The approach is based on a definition of the physical vacuum drawn from Heisenberg uncertainty principle. Using the fact that the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. B. Altaie

In this thesis we present partial progress towards the dynamic formation of black holes in the four-dimensional Einstein vacuum equations from Christodoulou's short-pulse ansatz. We identify natural scaling in a putative solution metric and…

Analysis of PDEs · Mathematics 2020-03-16 Ethan Yale Jaffe

A quantum theory of spherically symmetric thin shells of null dust and their gravitational field is studied. In Nucl. Phys. 603 (2001) 515 (hep-th/0007005), it has been shown how superpositions of quantum states with different geometries…

General Relativity and Quantum Cosmology · Physics 2013-05-29 M. Ambrus , P. Hajicek

We present the first numerical simulations of asymptotically flat space-times whose computational domain includes past and future null-infinity. As an application, we explore the scattering of a gravitational wave in a black hole…

General Relativity and Quantum Cosmology · Physics 2025-04-04 Jörg Frauendiener , Chris Stevens , Sebenele Thwala

If one assumes the validity of conventional quantum field theory in the vicinity of the horizon of a black hole, one does not find a quantum mechanical description of the entire black hole that even remotely resembles that of conventional…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. 't Hooft

In quantum gravity, fields may lose quantum coherence by scattering off vacuum fluctuations in which virtual black hole pairs appear and disappear. Although it is not possible to properly compute the scattering off such fluctuations, we…

High Energy Physics - Theory · Physics 2009-10-30 S. W. Hawking , Simon F. Ross

We examine the spectrum of a massive scalar particle interacting with the strong gravitational field of a static, spherically symmetric object which is not quite massive enough to be a black hole. As was found in the case of massless…

General Relativity and Quantum Cosmology · Physics 2014-11-20 G. H. Gossel , J. C. Berengut , V. V. Flambaum

This paper discusses the gravitational scattering of a straight, infinitely long test cosmic string by a black hole. We present numerical results that probe the two-dimensional parameter space of impact parameter and initial velocity and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jean-Pierre De Villiers , Valeri Frolov

We employ the recently proposed formalism of the "horizon wave-function" to investigate the emergence of a horizon in models of black holes as Bose-Einstein condensates of gravitons. We start from the Klein-Gordon equation for a massless…

High Energy Physics - Theory · Physics 2014-10-29 Roberto Casadio , Andrea Giugno , Octavian Micu , Alessio Orlandi

Recently, the possibility was pointed out by one of the present authors and his collaborators that an effective naked singularity referred to as "a visible border of spacetime" is generated by high-energy particle collision in the context…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Umpei Miyamoto , Hiroya Nemoto , Masahiro Shimano

In the framework of a simple gravitational theory that contains a scalar field minimally coupled to gravity, we investigate the emergence of analytic black-hole solutions with non-trivial scalar hair of secondary type. Although it is…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Athanasios Bakopoulos , Theodoros Nakas

Recent numerical simulations have found that the Cauchy horizon inside spherical charged black holes, when perturbed nonlinearly by a self-gravitating, minimally-coupled, massless, spherically-symmetric scalar field, turns into a null weak…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lior M. Burko

We examine the Hawking effect by studying the asymptotic entanglement of two mutually independent two-level atoms placed at a fixed radial distance outside a Schwarzschild black hole in the framework of open quantum systems. We treat the…

High Energy Physics - Theory · Physics 2011-09-05 Jiawei Hu , Hongwei Yu

As was recently shown, non-relativistic quantum theory can be derived by means of a projection method from a continuum of classical solutions for (massive) particles. In this paper we show that Maxwell's equations in empty space can be…

Quantum Physics · Physics 2024-09-09 Ulf Klein

We discuss the problem of the quantization and dynamic evolution of a scalar free field in the interior of a Schwarzschild black hole. A unitary approach to the dynamics of the quantized field is proposed: a time-dependent Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Pawel Gusin , Andrzej Radosz , Andy T. Augousti , Janos Polonyi , Oleg B. Zaslavskii , Romuald J. 'Sciborski

We compute the production of particles from the gravitational field of an expanding mass shell. Contrary to the situation of Hawking radiation and the production of cosmological perturbations during cosmological inflation, the example of an…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sabine Hossenfelder , Dominik J. Schwarz , Walter Greiner

We construct a complete conformal scattering theory for finite energy Maxwell potentials on a class of curved, asymptotically flat spacetimes with prescribed smoothness of null infinity and a non-zero ADM mass. In order to define the full…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Jean-Philippe Nicolas , Grigalius Taujanskas

Creation of thermal distribution of particles by a black hole is independent of the detail of gravitational collapse, making the construction of the eternal horizons suffice to address the problem in asymptotically flat spacetimes. For…

General Relativity and Quantum Cosmology · Physics 2019-01-02 Sourav Bhattacharya

We present a general construction of semiglobal scattering solutions to quasilinear wave equations in a neighbourhood of spacelike infinity including past and future null infinity, where the scattering data are posed on an ingoing null cone…

Analysis of PDEs · Mathematics 2025-12-22 Istvan Kadar , Lionor Kehrberger