Electromagnetic self-force on a static charge in Schwarzschild-de Sitter spacetimes

Abstract

We compute the self-force acting on an electric charge at rest in Schwarzschild-de Sitter spacetimes, allowing the cosmological constant to be either positive or negative. In the case of a positive cosmological constant, we show that the self-force is always positive, representing a repulsion from the black hole, and monotonically decreasing with increasing distance from the black hole. The spectrum of results is richer in the case of a negative cosmological constant. Here the self-force is not always positive --- it is negative when the black-hole and cosmological scales are comparable and the charge is close to the black hole --- and not always monotonically decreasing --- it is actually monotonically increasing when the cosmological scale is sufficiently small compared to the black-hole scale. The self-force also approaches a constant asymptotic value when the charge is moved to large cosmological distances; this feature can be explained in terms of an interaction between the charge and the conformal boundary at infinity, which acts as a grounded conductor.

13 pages, 3 figures

References in corpus (2)

• Dependence of Self-force on Central Object
• Self force of a static electric charge near a Schwarzschild Star

Cited by in corpus (8)

• Self-force: Computational Strategies
• Self-force on a charge outside a five-dimensional black hole
• Effect of a cylindrical thin-shell of matter on the electrostatic self-force on a charge
• Aspects of electrostatics in BTZ geometries
• Self-force on a static particle near a black hole
• Self-force on a scalar charge in a circular orbit about a Reissner-Nordström black hole
• Electromagnetic fields and charges in expanding universes
• The inverse spatial Laplacian of spherically symmetric spacetimes