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In the present paper we study the geodesic motion of test particles and light rays in the spacetime of a static charged black hole in $f(R)$ gravity. The complete set of analytic solutions of the geodesic equations in the spacetime of this…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Saheb Soroushfar , Reza Saffari , Saskia Grunau

Our understanding of space and time is probed to its depths by black holes. These objects, which appear as a natural consequence of general relativity, provide a powerful analytical tool able to examine macroscopic and microscopic…

Astrophysics · Physics 2015-06-24 Jean-Pierre Luminet

We discuss the connection between black hole and holographic dark energy. We examine the issue of the equation of state (EOS) for holographic energy density as a candidate for the dark energy carefully. This is closely related to the EOS…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yun Soo Myung

We consider a quantum analogue of black holes and white holes using Bose-Einstein condensates. The model is described by the nonlinear Schrodinger equation with a 'stream flow' potential, that induces a spatial translation to standing…

Pattern Formation and Solitons · Physics 2017-05-24 Fiki T. Akbar , Bobby E. Gunara , Hadi Susanto

These are the lecture notes for an introductory course on black holes and some aspects of their interaction with the classical and quantum world. The focus is on phenomena of "fundamental physics" in the immediate surroundings of the black…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Roberto Emparan , Elvis Barakovic , Roukaya Dekhil , Filip Rescic

We consider particle collisions in the background of a nonextremal black hole. Two particles fall from infinity, particle 1 is fine-tuned (critical), collision occurs in its turning point. The first example is the Reissner-Nordstr\"{o}m…

General Relativity and Quantum Cosmology · Physics 2020-11-11 O. B. Zaslavskii

With appropriately chosen parameters, the C-metric represents two uniformly accelerated black holes moving in the opposite directions on the axis of the axial symmetry (the z-axis). The acceleration is caused by nodal singularities located…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Pravda , A. Pravdova

The definition of matter states on spacelike hypersurfaces of a 1+1 dimensional black hole spacetime is considered. Because of small quantum fluctuations in the mass of the black hole, the usual approximation of treating the gravitational…

High Energy Physics - Theory · Physics 2007-05-23 Miguel E. Ortiz

We study the geodesic motion of massless test particles in the background of a magnetic charged black hole spacetime in four dimensions in dilaton-Maxwell gravity. The behaviour of effective potential in view of the different values of…

General Relativity and Quantum Cosmology · Physics 2015-09-18 Ravi Shankar Kuniyal , Rashmi Uniyal , Hemwati Nandan , K. D. Purohit

We consider black holes in an "unsuitable box": a finite cavity coupled to a thermal reservoir at a temperature different than the black hole's Hawking temperature. These black holes are described by metrics that are continuous but not…

General Relativity and Quantum Cosmology · Physics 2013-06-18 Daniel Grumiller , Robert McNees , Simone Zonetti

The problem of the event horizon in relativistic gravity is discussed. Singular solutions in general relativity are well known. The Schwarschild metric of a spherical mass is singular at zero ($r = 0$) and at the event horizon ($r = r_g$).…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Svetlana Andrusenko , Daniil Krichevskiy , Valentin Rudenko

We numerically investigate the formation of D-dimensional black holes in high-energy particle collision with the impact parameter and evaluate the total cross section of the black hole production. We find that the formation of an apparent…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hirotaka Yoshino , Yasusada Nambu

A summary of how black holes grow in full, non-linear general relativity is presented. Specifically, a notion of "dynamical horizons" is introduced and expressions of fluxes of energy and angular momentum carried by gravitational waves…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhay Ashtekar

We consider generic nonextremal stationary dirty black holes. It is shown that in the vicinity of any bifurcation surface the energy of collision of two particles in the centre of mass frame can grow unbound. This is a generic property…

General Relativity and Quantum Cosmology · Physics 2015-06-04 O. B. Zaslavskii

We investigate here the particle acceleration and collisions with extremely large center of mass energies in a perfectly regular spacetime containing neither singularity nor an event horizon. The ultra-high energy collisions of particles…

General Relativity and Quantum Cosmology · Physics 2012-08-27 Mandar Patil , Pankaj S. Joshi

We perform fully non-linear numerical simulations of charged-black-hole collisions, described by the Einstein-Maxwell equations, and contrast the results against analytic expectations. We focus on head-on collisions of non-spinning black…

General Relativity and Quantum Cosmology · Physics 2012-07-06 Miguel Zilhão , Vitor Cardoso , Carlos Herdeiro , Luis Lehner , Ulrich Sperhake

Black holes are the simplest macroscopic objects, and provide unique tests of General Relativity. They have been compared to the Hydrogen atom in quantum mechanics. Here, we establish a few facts about the simplest systems bound by gravity:…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Laura Bernard , Vitor Cardoso , Taishi Ikeda , Miguel Zilhao

Because of the very definition of black holes --- no light escapes them and falling objects get infinitely faint when approaching --- it is impossible to ever prove that they exist. However, electromagnetic and gravitational-wave…

High Energy Astrophysical Phenomena · Physics 2020-12-17 Vitor Cardoso

Collisions of particles near a rotating black hole can lead to unbound energies $E_{c.m.}$ in their centre of mass frame. There are indications that the Killing energy of debris at infinity can also be unbound for some scenarios of…

General Relativity and Quantum Cosmology · Physics 2015-09-30 O. B. Zaslavskii

This paper introduces a new effort to study the collision of plane-fronted gravitational waves in four dimensional, asymptotically flat spacetime, using numerical solutions of the Einstein equations. The pure vacuum problem requires…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Frans Pretorius , William E. East