A complete 2.5PN scattering angle for scalar-tensor hyperbolic binaries is derived from a new 2PN quasi-Keplerian parametrization, along with a corrected 3PN GR impact parameter.
Post-Newtonian Binary Dynamics in Effective Field Theory of Horndeski Gravity
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abstract
General relativity has been very successful since its proposal more a century ago. However, various cosmological observations and theoretical consistency still motivate us to explore extended gravity theories. Horndeski gravity stands out as one attractive theory by introducing only one scalar field. Here we formulate the post-Newtonian effective field theory of Horndeski gravity and investigate the conservative dynamics of the inspiral compact binary systems. We calculate the leading effective Lagrangian for a compact binary and obtain the periastron advance per period. In particular, we apply our analytical calculation to two binary systems, PSR B 1534+12 and PSR J0737-3039, and constrain the relevant model parameters. The theoretical framework can also be extended to higher order systematically.
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Quasi-Keplerian parametrization for compact binaries on hyperbolic orbits in scalar-tensor theories at second post-Newtonian order
A complete 2.5PN scattering angle for scalar-tensor hyperbolic binaries is derived from a new 2PN quasi-Keplerian parametrization, along with a corrected 3PN GR impact parameter.