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- W2282184371 abstract "We present a method for solving the first-order Einstein field equations in a post-Newtonian (PN) expansion. Our calculations generalize the work of Bini and Damour and subsequently Kavanagh et al. to consider eccentric orbits on a Schwarzschild background. We derive expressions for the retarded metric perturbation at the location of the particle for all $ensuremath{ell}$-modes. We find that, despite first appearances, the Regge-Wheeler gauge metric perturbation is ${C}^{0}$ at the particle for all $ensuremath{ell}$. As a first use of our solutions, we compute the gauge-invariant quantity $⟨U⟩$ through 4PN while simultaneously expanding in eccentricity through ${e}^{10}$. By anticipating the $eensuremath{rightarrow}1$ singular behavior at each PN order, we greatly improve the accuracy of our results for large $e$. We use $⟨U⟩$ to find 4PN contributions to the effective one body potential $stackrel{^}{Q}$ through ${e}^{10}$ and at linear order in the mass ratio." @default.
- W2282184371 created "2016-06-24" @default.
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- W2282184371 date "2016-02-04" @default.
- W2282184371 modified "2023-10-17" @default.
- W2282184371 title "Analytic self-force calculations in the post-Newtonian regime: Eccentric orbits on a Schwarzschild background" @default.
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- W2282184371 doi "https://doi.org/10.1103/physrevd.93.044010" @default.
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