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arXiv · 2310.19679

Tidal effects up to next-to-next-to leading post-Newtonian order in massless scalar-tensor theories

Laura Bernard·Eve Dones·Stavros Mougiakakos
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Abstract

In this article, we study the tidal effects in the gravitationally bound two-body system at next-to-next-to leading post-Newtonian order for spin-less sources in massless scalar-tensor theories. We compute the conservative dynamics, using both a Fokker Lagrangian approach and effective field theory with the PN-EFT formalism. We also compute the ten conserved quantities at the same NNLO order. Finally, we extend our results from simple ST theories to Einstein-scalar-Gauss-Bonnet gravity. Such results are important in preparation of the science case of the next generation of gravitational wave detectors.

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Laura Bernard, Eve Dones, Stavros Mougiakakos. 2023-10-30. Tidal effects up to next-to-next-to leading post-Newtonian order in massless scalar-tensor theories. https://doi.org/10.1103/physrevd.109.044006

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