# Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole - General Relativity and Quantum Cosmology

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Abstract: The innermost stable circular orbit ISCO of a test particle around aSchwarzschild black hole of mass $M$ has areal radius $r { m isco}= 6MG-c^2$. If the particle is endowed with mass $\mu\ll M$, it experiences agravitational self-force whose conservative piece alters the location of theISCO. Here we calculate the resulting shifts $\Delta r { m isco}$ and$\Delta\Omega { m isco}$ in the ISCO-s radius and frequency, at leading orderin the mass ratio $\mu-M$. We obtain, in the Lorenz gauge, $\Delta r { misco}=-3.269 \pm 0.003\mu G-c^2$ and $\Delta\Omega { m isco}-\Omega { misco}=0.4870 \pm 0.0006 \mu-M$. We discuss the implications of our resultwithin the context of the extreme-mass-ratio binary inspiral problem.

Author: Leor Barack, Norichika Sago

Source: https://arxiv.org/