Gravitational self-force and the effective-one-body formalism between the innermost stable circular orbit and the light ring
Gravitational self-force and the effective-one-body formalism between the innermost stable circular orbit and the light ring
We compute the conservative piece of the gravitational self-force (GSF) acting on a particle of mass ${m}_{1}$ as it moves along an (unstable) circular geodesic orbit between the innermost stable orbit and the light ring of a Schwarzschild black hole of mass ${m}_{2}\ensuremath{\gg}{m}_{1}$. More precisely, we construct the function ${h}_{uu}^{R,L}(x)\ensuremath{\equiv}{h}_{\ensuremath{\mu}\ensuremath{\nu}}^{R,L}{u}^{\ensuremath{\mu}}{u}^{\ensuremath{\nu}}$ …