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Self force on charges in the spacetime of spherical shells
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Self force on charges in the spacetime of spherical shells
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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.
Forward citations
Cited by 2 Pith papers
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Self-Forces as Nonlocal Probes of Gravastar Interiors
For charges held near a gravastar, the self-force carries information about the interior, giving explicitly computable differences from the black-hole case.
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Self-Forces as Nonlocal Probes of Gravastar Interiors
Static scalar and electric charges near a thin-shell gravastar experience self-forces different from those near a black hole, with analytic leading-order formulas.
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