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New gravitational self-force analytical results for eccentric orbits around a Schwarzschild black hole
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abstract
We raise the analytical knowledge of the eccentricity-expansion of the Detweiler-Barack-Sago redshift invariant in a Schwarzschild spacetime up to the 9.5th post-Newtonian order (included) for the $e^2$ and $e^4$ contributions, and up to the 4th post-Newtonian order for the higher eccentricity contributions through $e^{20}$. We convert this information into an analytical knowledge of the effective-one-body radial potentials $\bar d(u)$, $\rho(u)$ and $q(u)$ through the 9.5th post-Newtonian order. We find that our analytical results are compatible with current corresponding numerical self-force data.
Forward citations
Cited by 3 Pith papers
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High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms
The authors compute tail-of-tail contributions to the effective-one-body Q potential through p_r^12 and derive new second-order self-force redshift predictions for eccentric binaries.
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High-post-Newtonian-order dynamical effects induced by tail-of-tail interactions in a two body system
The paper derives 6.5PN tail-of-tail contributions to binary dynamics and finds agreement with independent self-force and worldline-EFT results.
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Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit
First-order metric perturbations and the generalized redshift invariant are computed for eccentric, precessing orbits in Kerr spacetime using four metric reconstruction methods, with open-source code provided.
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