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We study a system of interacting particles in a periodically moving external potential, within the simplest possible description of paradigmatic symmetric exclusion process on a ring. The model describes diffusion of hardcore particles…

Statistical Mechanics · Physics 2014-04-17 Rakesh Chatterjee , Sakuntala Chatterjee , Punyabrata Pradhan , S. S. Manna

Properties of particles in Kerr metric are compared with properties of particles in rotating coordinates in Minkowski space-time. It is shown that particles with negative and zero energies existing in the ergosphere of the rotating black…

General Relativity and Quantum Cosmology · Physics 2017-07-04 A. A. Grib , Yu. V. Pavlov

We construct general-relativistic kinetic models of stationary finite accretion disks in the Kerr spacetime. Our analysis generalizes a previous model of razor-thin accretion disks of collisionless gas in the Kerr spacetime, extending to…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Ghafran Khan , Patryk Mach

The Carter tensor is a Killing tensor of the Kerr-Newman spacetime, and its existence implies the separability of the wave equation. Nevertheless, the Carter operator is known to commute with the D'Alembertian only in the case of a…

General Relativity and Quantum Cosmology · Physics 2021-06-01 Elena Giorgi

Low density plasmas in curved spacetimes, such as those found in accretion flows around black holes, are challenging to model from first principles, owing to the large scale separation between the characteristic scales of the microscopic…

High Energy Astrophysical Phenomena · Physics 2024-04-03 Tyler Trent , Karin Roley , Matthew Golden , Dimitrios Psaltis , Feryal Özel

In this paper, we develop an iterative approach to span the whole set of exotic matter models able to drive a traversable wormhole. The method, based on a Taylor expansion of metric and stress-energy tensor components in a neighbourhood of…

General Relativity and Quantum Cosmology · Physics 2017-04-14 Marco Chianese , Elisabetta Di Grezia , Mattia Manfredonia , Gennaro Miele

We present a comprehensive numerical study of the dynamics of relativistic axisymmetric accretion tori with a power-law distribution of specific angular momentum orbiting in the background spacetime of a Kerr black hole. By combining…

Astrophysics · Physics 2009-11-10 O. Zanotti , J. A. Font , L. Rezzolla , P. J. Montero

The dynamics of a quantum particle bound by an accelerating delta-functional potential is investigated. Three cases are considered, using the reference frame moving along with the {\delta}-function, in which the acceleration is converted…

Quantum Physics · Physics 2015-05-27 Er'el Granot , Boris Malomed

In this work we address the study of movement of charged particles in the background of charged black holes with non-trivial asymptotic behavior. We compute the exact trajectories for massive-charged particles in term of elliptic Jacobi…

General Relativity and Quantum Cosmology · Physics 2015-05-20 M. Olivares , J. Saavedra , C. Leiva , J. R. Villanueva

We investigate the trajectories of point charges in the background of finite-action vacuum solutions of Maxwell's equations known as knot solutions. More specifically, we work with a basis of electromagnetic knots generated by the so-called…

Mathematical Physics · Physics 2023-05-08 Kaushlendra Kumar , Olaf Lechtenfeld , Gabriel Picanço Costa

We study the motion of a heavy tracer particle weakly coupled to a dense interacting Bose gas exhibiting Bose-Einstein condensation. In the so-called mean-field limit, the dynamics of this system approaches one determined by nonlinear…

Mathematical Physics · Physics 2013-02-07 Juerg Froehlich , Zhou Gang

We investigate the weak cosmic censorship conjecture by analyzing the dynamics of spinning timelike particles dropped along the rotational axis of an extremal Kerr (anti)de Sitter black hole. This idea was first considered in a seminal…

General Relativity and Quantum Cosmology · Physics 2025-07-28 Antonia M. Frassino , Jorge V. Rocha , Andrea P. Sanna

This thesis aims to explore the properties of the motion of finite size, compact test bodies around a Kerr black hole in the small mass-ratio approximation. The small body is modelled as a perturbation of Kerr geometry, neglecting its…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Adrien Druart

We show that the Killing tensor of the Kerr spacetime has an analogue in the $\sqrt{\rm Kerr}$ gauge theory solution related to it by the classical double copy. This hidden symmetry of $\sqrt{\rm Kerr}$ leads to an additional constant of…

High Energy Physics - Theory · Physics 2023-07-06 Adam Ball , Anna Bencke , Yaxi Chen , Anastasia Volovich

We extend the treatment of the problem of the gravitational waves produced by a particle of negligible mass orbiting a Kerr black hole using black hole perturbation theory in the time domain, to elliptic and inclined orbits. We model the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gaurav Khanna

We consider gravity in 3+1 spacetime dimensions coupled to $N$ scalar matter fields in a semiclassical limit where $N\to\infty$. The dynamical evolution of a black hole including the back-reaction of the Hawking radiation on the metric is…

High Energy Physics - Theory · Physics 2023-09-21 David A. Lowe , Larus Thorlacius

The dynamics of extended spinning bodies in the Kerr spacetime is investigated in the pole-dipole particle approximation and under the assumption that the spin-curvature force only slightly deviates the particle from a geodesic path. The…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico

This paper presents an analytic perturbation approach to the dynamics of a classical spinning particle, according to the Mathisson-Papapetrou-Dixon (MPD) equations of motion, with a direct application to circular motion around a Kerr black…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Dinesh Singh

It is shown numerically that strange matter rings permit a continuous transition to the extreme Kerr black hole. The multipoles as defined by Geroch and Hansen are studied and suggest a universal behaviour for bodies approaching the extreme…

General Relativity and Quantum Cosmology · Physics 2010-11-09 Hendrick Labranche , David Petroff , Marcus Ansorg

We study the dynamical aspects of dark energy in the context of a non-minimally coupled scalar field with curvature and torsion. Whereas the scalar field acts as the source of the trace mode of torsion, a suitable constraint on the torsion…

General Relativity and Quantum Cosmology · Physics 2017-08-18 Sourav Sur , Arshdeep Singh Bhatia
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