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Classical and Quantum Gravity


A model for linear dragging

H Pfister1, J Frauendiener2 and S Hengge1

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We try to carry over, as closely as possible, the well-known results for rotational dragging (Thirring, Brill and Cohen) to dragging due to linearly accelerated masses. To this end, a spherical, charged mass shell is linearly accelerated by a (weak) external, axisymmetric and dipolar charge distribution. It is shown that the interior of this (Reissner?Nordstr?m-like) shell stays flat. The dragging of neutral test particles inside the shell, defined by their acceleration, scaled by the overall acceleration of the (rigid) shell, is calculated for the weak field case for a highly massive but weakly charged shell and for the general strong field case. The results compare favourably with the corresponding results for rotational dragging.


PACS

04.20.-q Classical general relativity

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations

MSC

83C22 Einstein-Maxwell equations

Subjects

Gravitation and cosmology

Dates

Issue 22 (21 November 2005)

Received 8 August 2005

Published 27 October 2005

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  1. A model for linear dragging

    H Pfister et al 2005 Class. Quantum Grav. 22 4743

  2. Mechanics, cosmology and Mach's principle

    Hanno Ess?n 2013 Eur. J. Phys. 34 139

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