Scalar self-force on a static particle in Schwarzschild using the massive field approach

Abstract

We use the recently developed massive field approach to calculate the scalar self-force on a static particle in a Schwarzschild spacetime. In this approach the scalar self-force is obtained from the difference between the (massless) scalar field, and an auxiliary massive scalar field combined with a certain limiting process. By applying this approach to a static particle in Schwarzschild we show that the scalar self-force vanishes in this case. This result conforms with a previous analysis by Wiseman .

15 pages

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Cited by in corpus (8)

• Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums
• Static Kerr Green's Function in Closed Form and an Analytic Derivation of the Self-Force for a Static Scalar Charge in Kerr Space-Time
• Self-force of a point charge in the space-time of a massive wormhole
• Self-force on a scalar charge in radial infall from rest using the Hadamard-WKB expansion
• Self-force on a scalar point charge in the long throat
• Scalar self-force on static charge in a long throat
• Self-force of a scalar charge in the space-time of extreme charged anti-dilatonic wormhole
• Renormalization for self-potential of a scalar charge in static space-times