High post-Newtonian order gravitational self-force analytical results for eccentric orbits around a Kerr black hole

Abstract

We present the first analytic computation of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in {\it eccentric} orbit around a {\it spinning} black hole. Our results give the redshift contributions that mix eccentricity and spin effects, through second order in eccentricity, second order in spin parameter, and the eight-and-a-half post-Newtonian order.

11 pages, revtex macros

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