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Radiation reaction force for scalar-tensor theories in effective-one-body formalism

Tamanna Jain1,2,* and Piero Rettegno3,†

  • *Contact author: tj317@cam.ac.uk
  • †Contact author: piero.rettegno@to.infn.it

Phys. Rev. D 112, 124017 – Published 3 December, 2025

DOI: https://doi.org/10.1103/y22d-sf6s

Abstract

While most of the binary configurations in modified theories of gravity are studied under quasicircular orbit limit, eccentricity effects could play a significant role in future gravitational wave detections. We derive the gravitational radiation reaction force for nonspinning eccentric orbits within the effective-one-body (EOB) description for the massless scalar-tensor theories up to 1.5 post-Newtonian (PN) order. The effects in such theories start at 1/c3 and interestingly, the 1.5PN order effect is due to radiation reaction square effects, which is a conservative effect. The results derived here can be implemented in the quasicircular EOB-based waveform models to construct waveform templates for generic orbit binaries within massless scalar-tensor theories of gravity.

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