Detweiler’s redshift invariant for extended bodies orbiting a Schwarzschild black hole
Detweiler’s redshift invariant for extended bodies orbiting a Schwarzschild black hole
We compute the first-order self-force contribution to Detweiler's redshift invariant for extended bodies endowed with both dipolar and quadrupolar structure (with spin-induced quadrupole moment) moving along circular orbits on a Schwarzschild background. Our analysis includes effects which are second order in spin, generalizing previous results for purely spinning particles. The …