On finding fields and self-force in a gauge appropriate to separable wave equations II

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Gravitational waves from the inspiral of a stellar-size black hole to a supermassive black hole can be accurately approximated by a point particle moving in a Kerr background. A procedure for finding the renormalized self-force from the Tuekolsky equation has been outlined in the separate talk and paper gr-qc0611072. A singular metric has been computed in THZ coordinates (locally inertial on a geodesic), and has a simple form. In this talk, we focus on carrying out the procedure using the lowest order piece of the singular metric in Schwarzschild coordinates. We compute a lowest order non-singular ψ0 and analyze the non-singular metric that arises.

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