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This work studies the symmetries, the associated momentum map, and relative equilibria of a mechanical system consisting of a small axisymmetric magnetic body-dipole in an also axisymmetric external magnetic field that additionally exhibits…

Symplectic Geometry · Mathematics 2013-11-12 Lyudmila Grigoryeva , Juan-Pablo Ortega , Stanislav Zub

A resonant level strongly coupled to a local phonon under nonequilibrium conditions is investigated. The nonequilibrium Hartree-Fock approximation is shown to correspond to approximating the steady state density matrix by delta functions at…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Mitra , I. Aleiner , A. J. Millis

We discuss energy conditions and quasinormal modes for scalar perturbations of regular charged black holes within the framework of General Relativity coupled to non-linear electrodynamics. The frequencies are computed numerically adopting…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Leonardo Balart , Grigoris Panotopoulos , Ángel Rincón

The perturbations of the Kerr metric and the miracle of their exact solutions play a critical role in the comparison of predictions of general relativity with astrophysical observations of compact massive objects. The differential equations…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Denitsa Staicova , Plamen Fiziev

We present first non-perturbative results for the renormalization constants of the QCD energy-momentum tensor, based on the framework of thermal QCD with shifted and twisted (for quarks only) boundary conditions in the compact direction. We…

High Energy Physics - Lattice · Physics 2023-12-19 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

In this paper we focus on the relation between quasinormal modes (QNMs) and a rotating black hole shadows. As a specific example, we consider the quantum deformed Kerr black hole obtained via Newman--Janis--Azreg-A\"{\i}nou algorithm. In…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Kimet Jusufi , Mustapha Azreg-Aïnou , Mubasher Jamil , Qiang Wu

Based on the modification to area-law due to thermal fluctuation at small horizon radius, we investigate the thermodynamics of charged quasitopological and charged rotating quasitopological black holes. In particular, we derive the…

General Relativity and Quantum Cosmology · Physics 2017-11-16 Sudhaker Upadhyay

We obtain equilibration rates for a one-dimensional nonlocal Fokker-Planck equation with time-dependent diffusion coefficient and drift, modeling the relaxation of a large swarm of robots, feeling each other in terms of their distance,…

Analysis of PDEs · Mathematics 2023-06-06 Ferdinando Auricchio , Giuseppe Toscani , Mattia Zanella

A generalization of the Euler's elastic problem, i.e., finding a stationary configuration (planar elastica) of the Bernoulli's thin ideal elastic rod with boundary conditions defined through fixed endpoints and/or tangents at the endpoints,…

Classical Physics · Physics 2025-12-23 Vasyl Kovalchuk , Ewa Eliza Rożko , Barbara Gołubowska

In terms of fundamental principles of quantum theory of interacting particles and relativistic kinetic theory there was carried out an analysis of the main principle of standard cosmological scenario - the initial existence of local…

General Relativity and Quantum Cosmology · Physics 2011-06-21 Yurii G. Ignatyev

In this paper, we find the solutions of quartic quasitopological black holes and branes coupled to logarithmic and exponential forms of nonlinear electrodynamics. These solutions have an essential singularity at $r=0$. Depending on the…

General Relativity and Quantum Cosmology · Physics 2019-10-02 A. Bazrafshan , F. Naeimipour , M. Ghanaatian , A. Khajeh

The Brown-York quasi-local energy of a rotating black hole described by the Kerr metric and enclosed by a fixed-radius surface is calculated by direct computation. No special assumptions on the angular momentum or the radial coordinate in…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Bjoern S. Schmekel

An approximate form for the vacuum averaged stress-energy tensor of a conformal spin-2 quantum field on a black hole background is employed as a source term in the semiclassical Einstein equations. Analytic corrections to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2009-10-28 David Hochberg , Sergey V. Sushkov

We calculate the gravitational energy spectrum of the perturbations of a Schwarzschild black hole described by quasinormal modes, in the framework of the teleparallel equivalent of general relativity (TEGR). We obtain a general formula for…

General Relativity and Quantum Cosmology · Physics 2021-04-19 J. W. Maluf , S. C. Ulhoa , F. L. Carneiro , K. H. C. Castello-Branco

In the literature, to extract the dispersion relation of low-frequency quasinormal modes in both diffusive and shear channels, it is a customary recipe to assume firstly $\omega\sim\mathcal{O}$ to solve the equation of motion and finally…

High Energy Physics - Theory · Physics 2021-02-02 Yu-Chen Ding , Li Li , Towe Wang

We show that it is possible to obtain credible static anisotropic spherically symmetric matter configurations starting from known density profiles and satisfying a nonlocal equation of state. These particular types of equation of state…

General Relativity and Quantum Cosmology · Physics 2015-06-25 H. Hernandez , L. A. Nunez

We establish both global existence and decay properties for solutions with small data for a general class of coupled system of tensorial quasilinear hyperbolic wave equations in three space dimensions, that covers the dynamical Einstein…

Analysis of PDEs · Mathematics 2026-03-03 Sari Ghanem

We construct asymptotically flat, static spherically symmetric black holes with regular centre in $f(R,T)$ gravity coupled to nonlinear electrodynamics Lagrangian. We obtain generalized metric function of the Bardeen and Hayward black…

General Relativity and Quantum Cosmology · Physics 2023-12-29 Takol Tangphati , Menglong Youk , Supakchai Ponglertsakul

Boundary term and Brown-York (BY) formalism, which is based on the Hamilton-Jacobi principle, are complimentary of each other as the gravitational actions are not, usually, well-posed. In scalar-tensor theory, which is an important…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Krishnakanta Bhattacharya , Kazuharu Bamba

The Brown-York quasi-local energy of a charged rotating black hole described by the Kerr-Newman metric and enclosed by a fixed-radius surface is computed. No further assumptions on the angular momentum or the radial coordinate in…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Bjoern S. Schmekel