Self force on charges in the spacetime of spherical shells

Abstract

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.

23 pages, 7 Encapsulated PostScript figures, RevTeX

References in corpus (8)

• Mode sum regularization approach for the self-force in black hole spacetime
• Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
• Self force on particle in orbit around a black hole
• Pragmatic approach to gravitational radiation reaction in binary black holes
• The self-force on a static scalar test-charge outside a Schwarzschild black hole
• Radiation-reaction force on a particle plunging into a black hole
• Self force on static charges in Schwarzschild spacetime
• Self-force on a scalar particle in spherically-symmetric spacetime via mode-sum regularization: radial trajectories

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