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

Adrian C. Ottewill; Peter Taylor

doi:10.1103/physrevd.86.024036

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arXiv · 1205.5587

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

Adrian C. Ottewill·Peter Taylor

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Abstract

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.

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Adrian C. Ottewill, Peter Taylor. 2012-05-24. 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. https://doi.org/10.1103/physrevd.86.024036

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