arxiv:2512.00840

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

Published on Nov 30

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Abstract

The gravitational radiation-reaction force for eccentric orbits is derived in massless scalar-tensor theories up to 1.5PN order, contributing to waveform templates for generic binary orbits in these theories.

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Whilst most of the binary configurations in modified theories of gravity are studied under quasi-circular 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/c^3 and interestingly, the 1.5PN order effect is due to the radiation reaction square effects which is a conservative effect. The results derived here can be implemented in the quasi-circular EOB-based waveform models to construct waveform templates for generic orbit binaries within massless scalar-tensor theories of gravity.

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