Gauge Invariant SelfForce Calculations with a Spinning Secondary Speaker(s): Josh Mathews
Abstract: "We calculate the first order metric perturbation to a Schwarzschild background spacetime induced by a spinning secondary body in the ReggeWheeler and Zerilli gauges. In particular we specialise to a secondary with spin (anti)aligned to the total orbital angular momentum in a quasicircular orbit. From the metric perturbation we can calculate gauge invariant selfforce quantities such as Detweilerâ€™s redshift invariant and compare with known PN results. In doing so we present the first strong field calculation of a conservative selfforce quantity with a spinning secondary and emphasise:
1) The treatment of the additional spin term to the singular field by deriving additional tensor harmonic regularisation parameters.
2) Parametrising at fixed frequency and practically extracting the linear in spin contribution to the metric perturbation."
Date: 10/06/2021  10:45 am
