Self-force on a non-minimally coupled static scalar test charge outside a Schwarzschild black hole

Details Self-force on a non-minimally coupled static scalar test charge outside a Schwarzschild black hole Self-force on a non-minimally coupled static scalar test charge outside a Schwarzschild black hole

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..apri12010c&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

For a static charge outside a Schwarzschild black hole, after mass renormalization, there remains a finite repulsive force proportional to the mass of the black hole and the square of the charge of the particle. In this work we compute the force on a non-minimally coupled static phscalar charge and we find that there is no finite part of this self-force. At first we use the closed form expression for the scalar field produced by a stationary test charge outside a Schwarzschild black hole. Then we confirm our result by using Carter's mass-variation theorem for black holes.

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