Self force on charges in the spacetime of spherical shells

Details Self force on charges in the spacetime of spherical shells Self force on charges in the spacetime of spherical shells

2000-08-27

arxiv.org/abs/gr-qc/0008065v1

Phys.Rev. D63 (2001) 024015

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 7 Encapsulated PostScript figures, RevTeX

Scientific paper

10.1103/PhysRevD.63.024015

We study the self force acting on static electric or scalar charges inside or outside a spherical, massive, thin shell. The regularization of the self force is done using the recently-proposed Mode Sum Regularization Prescription. In all cases the self force acting on the charge is repulsive. We find that in the scalar case the force is quadratic in the mass of the shell, and is a second post-Newtonian effect. For the electric case the force is linear in the shell's mass, and is a first post-Newtonian effect. When the charge is outside the shell our results correct the known zero self force in the scalar case or the known repulsive, inverse-cubic force law in the electric case, for the finite size of the shell. When the charge is near the center of the shell the charge undergoes harmonic oscillations.

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