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
Ottewill, Adrian C. and Taylor, PeterORCID: 0000-0002-8416-6408
(2012)
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.
Physical Review D, 86
(2).
ISSN 1550-7998
We derive a closed-form solution for the Green’s function for the wave equation of a static (with respect
to an undragged, static observer at infinity) scalar charge in the Kerr space-time. We employ our solution
to obtain an analytic expression for the self-force on such a charge, comparing our results to those of L. M.
Burko and Y. T. Liu, Phys. Rev. D 64, 024006 (2001).