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When a charged insulating spherical shell is uniformly accelerated, an oppositely directed electric field is produced inside. Outside the field is the Born field of a uniformly accelerated charge, modified by a dipole. Radiation is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 D. Lynden-Bell , J. Bicak , J. Katz

We elucidate the dynamics of a thin spherical material shell with a tangential pressure, using a new approach. This is both simpler than the traditional method of extrinsic curvature junction conditions (which we also employ), and suggests…

General Relativity and Quantum Cosmology · Physics 2017-10-31 William Barker , Tomáš Ledvinka , Donald Lynden-Bell , Jiří Bičák

We present a partial differential equation describing the electromagnetic potentials around a charge distribution undergoing rigid motion at constant proper acceleration, and obtain a set of solutions to this equation. These solutions are…

Classical Physics · Physics 2014-02-06 Andrew M. Steane

A new class of exact solutions of the Einstein-Maxwell system is found in closed form. This is achieved by choosing a generalised form for one of the gravitational potentials and a particular form for the electric field intensity. For…

General Relativity and Quantum Cosmology · Physics 2009-11-13 S. Thirukkanesh , S. D. Maharaj

There is a drag force on objects moving in the background cosmological metric, known from galaxy cluster dynamics. The force is quite small over laboratory timescales, yet it applies in principle to all moving bodies in the universe. It…

General Relativity and Quantum Cosmology · Physics 2021-08-06 L. L. Williams , N. Inan

In this paper, we review and analyze four specific general-relativistic problems in which gravitomagnetism plays an important role: the dragging of magnetic fields around rotating black holes, dragging inside a collapsing slowly rotating…

General Relativity and Quantum Cosmology · Physics 2022-06-27 Jiří Bičák , Tomáš Ledvinka

The dynamic shift of the center of mass for a rotating hemisphere prompts us the question of what might be its physical consequences. Despite the fact that accelerating object is known to create gravitational field, there is no known…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eue Jin Jeong

In highly conducting astrophysical plasmas, charged particles are generically accelerated through Fermi-type processes involving repeated interactions with moving magnetized scattering centers. The present paper proposes a generalized…

High Energy Astrophysical Phenomena · Physics 2020-11-19 Martin Lemoine

Slowly rotating collapsing spherical shells have flat spaces inside and the inertial frames there rotate at omega_s(t) relative to infinity. As first shown by Lindblom & Brill the inertial axes within the shell rotate rigidly without time…

Astrophysics · Physics 2009-10-30 J. Katz , D. Lynden-Bell , J. Bicak

We obtain the fields and electromagnetic self-force of a charge distributed on the surface of a sphere undergoing rigid motion at constant proper acceleration, where the charge distribution has axial symmetry about the direction of motion.…

Classical Physics · Physics 2018-09-28 Andrew Steane

Linear and rotational dragging effects of gravitational waves on local inertial frames are studied in purely vacuum spacetimes. First the linear dragging caused by a simple cylindrical pulse is investigated. Surprisingly strong transversal…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Jiri Bicak , Joseph Katz , Donald Lynden-Bell

As is known the repulsion of the volume elements of an uniformly accelerating charge or a charge supported in an uniform gravitational field accounts for the electromagnetic contribution to the charge's inertial and gravitational mass,…

General Physics · Physics 2012-07-30 Vesselin Petkov

The frame-dragging phenomenon in gravitational fields is revisited to explore the geometric effects induced by spacetime curvature. We quantize a massless scalar field in the spacetime of a rotating sphere, incorporating the frame-dragging…

General Relativity and Quantum Cosmology · Physics 2024-08-26 Rui-Chen Liu , C. P. Sun

We define a new parameter `cumulative drag index' for a particle in circular orbit in a stationary, axisymmetric gravitational field and study its behaviour in the two well known solutions of general relativity {\it viz.}, the Kerr…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. R. Prasanna

A new method to calculate the electric field inside a spherical shell with surface charge in terms of solid angle is presented. The integral can be readily carried out without invoking special functions typically used for this classical…

Classical Physics · Physics 2025-02-11 Fulin Zuo

A classical and a relativistic law of motion for an advancing shell are deduced applying the thin layer approximation. A new parameter connected with the quantity of absorbed matter in the expansion is introduced; this allows of matching…

High Energy Astrophysical Phenomena · Physics 2011-11-04 L. Zaninetti

We present two results in the treatment of self-force of accelerating bodies. If the total force on an extended rigid object is calculated from the change of momentum summed over planes of simultaneity of successive rest frames, then we…

Classical Physics · Physics 2018-10-08 Andrew Steane

Like in liquids, objects moving in granular materials experience a drag force. We investigate here whether and how the object acceleration affect this drag force. The study is based on simulations of a canonical drag test, which involves…

Soft Condensed Matter · Physics 2019-07-15 Shivakumar Athani , Pierre Rognon

The strong variability of magnetic central engines of AGN and GRBs may result in highly intermittent strongly magnetized relativistic outflows. We find a new magnetic acceleration mechanism for such impulsive flows that can be much more…

High Energy Astrophysical Phenomena · Physics 2015-05-18 Jonathan Granot , Serguei Komissarov , Anatoly Spitkovsky

Electrically charged systems bound by a strong gravitational force can sustain a huge amount of electric charge (up to 10^20C) against Coulomb repulsion. General relativistically such systems form a stable hydrostatic configuration both in…

General Relativity and Quantum Cosmology · Physics 2009-03-24 Babur M. Mirza
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