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Self-force on charges in the spacetime of spherical shells

Burko, Lior M. and Liu, Yuk Tung and Soen, Yoav (2001) Self-force on charges in the spacetime of spherical shells. Physical Review D, 63 (2). Art. No. 024015. ISSN 2470-0010. doi:10.1103/PhysRevD.63.024015.

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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.

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Additional Information:© 2000 The American Physical Society. Received 27 August 2000; published 27 December 2000. We thank Jeremy Heyl, Amos Ori, and Kip Thorne for invaluable discussions. L.M.B. wishes to thank the Technion Institute of Theoretical Physics, where part of this research was done, for hospitality. At Caltech this research was supported by NSF grants AST-9731698 and PHY-9900776 and by NASA grant NAG5-6840.
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ID Code:9098
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Deposited On:26 Oct 2007
Last Modified:08 Nov 2021 20:56

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