Conservative second-order gravitational self-force on circular orbits and the effective one-body formalism
Conservative second-order gravitational self-force on circular orbits and the effective one-body formalism
We consider Detweiler's redshift variable $z$ for a nonspinning mass $m_1$ in circular motion (with orbital frequency $\Omega$) around a nonspinning mass $m_2$. We show how the combination of effective-one-body (EOB) theory with the first law of binary dynamics allows one to derive a simple, exact expression for the functional …