Séminaire / Seminar GReCO |
| « Gravitational radiation reaction for compact binary systems at the 4.5PN order in harmonic coordinates » |
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Emeric Seraille |
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Compact binaries are the primary sources of gravitational waves measured
by gravitational-wave detectors. In this context, obtaining the equations of motion in different approximation schemes is essential for producing waveform templates with the accuracy required by future detections. In this talk, I present the gravitational radiation-reaction force on a compact binary system at the 4.5PN order of general relativity, i.e., 2PN orders beyond the leading 2.5PN radiation-reaction term in the harmonic coordinates. This derivation is based on the 4.5PN gravitational radiation-reaction obtained recently in the Burke–Thorne (BT) coordinate system and relies on dimensional regularization to treat the ultra-violet divergences appearing at this order. This represents a significant improvement, as harmonic coordinates are unique, provide a manifestly Lorentz-invariant formulation, and offer a much simpler expression compared to the BT coordinates. Moreover, this result enables comparisons with other approximation schemes (such as post-Minkowskian or Gravitational self force) at 4.5PN. We also prove that the harmonic radiation-reaction implies the known radiation fluxes at infinity associated with energy, angular momentum, linear momentum, and center-of-mass position, in a general frame and up to the 4.5PN order. |
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lundi 26 janvier 2026 - 11:00 Salle des séminaires Évry Schatzman Institut d'Astrophysique de Paris |
| Pages web du séminaire / Seminar's webpage |