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Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism

Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism

Using a recently presented numerical code for calculating the Lorenz-gauge gravitational self-force (GSF), we compute the $O(m)$ conservative correction to the precession rate of the small-eccentricity orbits of a particle of mass $m$ moving around a Schwarzschild black hole of mass $\mathsf{M}\ensuremath{\gg}m$. Specifically, we study the gauge-invariant function $\ensuremath{\rho}(x)$, where …