Self-force on a scalar point charge in the long throat

Abstract

An analytic method is presented which allows for the computation of the self-force for a static particle with a scalar charge in the region of an ultrastatic spacetime which one can call the long throat. The method is based on the approximate WKB solution of a radial mode equation for a scalar field. This field is assumed to be massless, with a coupling $\xi$ to the scalar curvature is satisfying the condition $\xi >1/8$.

11 pages, 1 figure

References in corpus (6)

• Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums
• Quasi-local contribution to the scalar self-force: Geodesic Motion
• Self-force on a scalar particle in a class of wormhole spacetimes
• Self-force of a point charge in the space-time of a symmetric wormhole
• Electrostatic interaction of a pointlike charge with a wormhole
• Electrostatics in a wormhole geometry

Cited by in corpus (8)

• The Birkhoff theorem and string clouds
• Electrostatics in a simple wormhole revisited
• Self-action in Gravity
• Self-force of a scalar charge in the space-time of extreme charged anti-dilatonic wormhole
• Scalar self-force on static charge in a long throat
• Self-force on an arbitrarily coupled scalar charge in cylindrical thin-shell spacetimes
• Renormalization for self-potential of a scalar charge in static space-times
• Arbitrarily coupled massive scalar field in conical thin-shell spacetimes