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Dynamics of compact binary systems in scalar-tensor theories: I. Equations of motion to the third post-Newtonian order
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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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Cited by 2 Pith papers
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Compact binary systems in Einstein-{\AE}ther gravity. II. Radiation reaction to 2.5 post-Newtonian order
The paper derives radiative equations of motion for Einstein-Aether compact binaries to 2.5PN order and reports energy-loss rates that contradict earlier flux-based calculations, with the dipole rate depending only on...
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Angular momentum flux through post-Newtonian order for noncircular nonspinning black-hole binaries in Einstein-Maxwell-dilaton theory
The scalar, electromagnetic, and tensor contributions to the angular momentum flux from noncircular EMd binaries are derived through 1PN order.
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