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We determine the analytic expression of the Rayleigh potential associated to the general relativistic Poynting-Robertson effect. This constitutes the first example of a physical dissipative system treated analytically in General Relativity.…

General Relativity and Quantum Cosmology · Physics 2019-09-12 Vittorio De Falco , Emmanuele Battista

Objectives: A systematic study on the general relativistic Poynting-Robertson effect has been developed so far by introducing different complementary approaches, which can be mainly divided in two kinds: (1) improving the theoretical…

General Relativity and Quantum Cosmology · Physics 2020-06-03 Vittorio De Falco

We propose the Lagrangian formulation for describing the motion of a test particle in a general relativistic, stationary, and axially symmetric spacetime. The test particle is also affected by a radiation field, modeled as a coherent flux…

General Relativity and Quantum Cosmology · Physics 2018-05-07 Vittorio De Falco , Emmanuele Battista , Maurizio Falanga

In this paper we introduce a new procedure, termed by us \emph{energy formalism}, to deal with dissipative systems in metric theories of gravity. This approach aims at determining the analytic expression of Rayleigh dissipation function in…

High Energy Physics - Theory · Physics 2019-11-12 Vittorio De Falco , Emmanuele Battista

The general relativistic Poynting-Robertson (PR) effect is a very important dissipative phenomenon occurring in high-energy astrophysics. Recently, it has been proposed a new model, which upgrades the two-dimensional (2D) description in the…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Vittorio De Falco

The general relativistic version is developed for Robertson's discussion of the Poynting-Robertson effect that he based on special relativity and Newtonian gravity for point radiation sources like stars. The general relativistic model uses…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Donato Bini , Robert T. Jantzen , Luigi Stella

In my doctoral thesis, I have focussed my attention on radiation processes in high-energy astrophysics connected with the accretion flow physics around compact objects. Generally, a radiation field beside to exert an outward radiation…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Vittorio De Falco

The Abrahamn Lorentz radiation reaction force term, with da/dt, derived in text books is shown to be incomplete. We show that, with the addition of a term, the classical radiation reaction force can be generalized to the relativistic force…

Classical Physics · Physics 2014-01-09 H. Fearn , J. Bengtsson

We consider a further extension of our previous works in the treatment of the three-dimensional general relativistic Poynting-Robertson effect, which describes the motion of a test particle around a compact object as affected by the…

General Relativity and Quantum Cosmology · Physics 2021-05-12 Vittorio De Falco , Maciek Wielgus

Detailed discussion of university textbook statements (Harwit 1988) concerning the Poynting-Robertson effect (P-R effect) is presented. Discussion is concentrated on better physical understanding of the P-R effect. References to complete…

Astrophysics · Physics 2007-05-23 Jozef Klacka

It is shown that the Rayleigh's dissipation function can be successfully applied in the solution of mechanical problems involving friction non-linear in the velocities. Through the study of surfaces at contact we arrive at a simple integral…

Classical Physics · Physics 2015-04-10 E. Minguzzi

We derive analytic formulas for the radiation power output when electrons are accelerated by a relativistic comoving kinetic Poynting flux, and validate these analytic results with Particle-In-Cell simulations. We also derive analytically…

High Energy Astrophysical Phenomena · Physics 2009-11-09 Edison Liang , Koichi Noguchi

We propose a general coarse-graining method to derive a continuity equation that describes any dissipative system of repulsive particles interacting through short-ranged potentials. In our approach, the effect of particle-particle…

Statistical Mechanics · Physics 2016-06-15 C. M. Vieira , H. A. Carmona , J. S. Andrade , A. A. Moreira

In the present research, a variational technique to modifying the Poisson equation is presented, expanding its modelling capabilities to include a wider range of physical processes and resonant structures. The study examines the…

General Physics · Physics 2024-01-30 Mario J. Pinheiro

We investigate the radiation damping experienced by a dielectric spherical particle when it is illuminated by an electromagnetic plane wave within the Rayleigh regime. We derive the equivalent electric dipole of the moving particle and…

Optics · Physics 2024-05-16 Mohammad Ali Abbassi , Lukas Novotny

A theory for analyzing the radiative and reactive energies for pulse radiators in free space is presented. With the proposed definition of reactive energies and radiative energies, power balance at arbitrarily chosen observation surfaces…

Classical Physics · Physics 2021-03-25 Gaobiao Xiao

We investigate the three-dimensional motion of a test particle in the gravitational field generated by a non-spherical compact object endowed with a mass quadrupole moment, described by the Erez-Rosen metric, and a radiation field,…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Vittorio De Falco , Pavel Bakala , Maurizio Falanga

We study magnetically powered relativistic outflows in which a part of the magnetic energy is dissipated internally by reconnection. For GRB parameters, and assuming that the reconnection speed scales with the Alfven speed, significant…

Astrophysics · Physics 2009-11-07 Georg Drenkhahn

A new probalistic approach to general relativistic kinetic theory is proposed. The general relativistic Boltzmann equation is linked to a new Markov process in a completely intrinsic way. This treatment is then used to prove the causal…

Mathematical Physics · Physics 2011-07-05 Ismael Bailleul , Frabrice Debbasch

The problem of energy and its localization in general relativity is critically re-examined. The Tolman energy integral for the Eddington spinning rod is analyzed in detail and evaluated apart from a single term. It is shown that a higher…

General Relativity and Quantum Cosmology · Physics 2022-10-12 F. I. Cooperstock , S. Tieu
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