1205.5587 (Adrian C. Ottewill et al.)

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    [PDF]

Adrian C. Ottewill, Peter Taylor

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 previously obtained using the mode-sum regularization prescription.

View original: http://arxiv.org/abs/1205.5587