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arXiv · 1802.10201

Dynamics of compact binary systems in scalar-tensor theories: I. Equations of motion to the third post-Newtonian order

Laura Bernard
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Abstract

Scalar-tensor theories are one of the most natural and well-constrained alternative theories of gravity, while still allowing for significant deviations from general relativity. We present the equations of motion of nonspinning compact binary systems at the third post-Newtonian (PN) order in massless scalar-tensor theories. We adapt the Fokker action of point particles in harmonic coordinates in general relativity to the specificities of scalar-tensor theories. We use dimensional regularisation to treat both the infrared and ultraviolet divergences, and we consistently include the tail effects that contribute by a non-local term to the dynamics. This work is crucial in order to compute the scalar gravitational waveform and the energy flux at 2PN order.

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Laura Bernard. 2018-02-27. Dynamics of compact binary systems in scalar-tensor theories: I. Equations of motion to the third post-Newtonian order. https://doi.org/10.1103/physrevd.98.044004

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