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arXiv · 2304.09052

Gravitational scattering upto third post-Newtonian approximation for conservative dynamics: Scalar-Tensor theories

Tamanna Jain
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Abstract

We compute the scattering angle $\chi$ for hyperboliclike encounters in massless Scalar-Tensor (ST) theories up to third post-Newtonian (PN) order for the conservative part of the dynamics. To calculate the gauge-invariant scattering angle as a function of energy and orbital angular momentum, we use the approach of Effective-One-Body formalism as introduced in [Phys.Rev.D 96 (2017) 6, 064021]. We then compute the nonlocal-in-time contribution to the scattering angle by using the strategy of order-reduction of nonlocal dynamics introduced for small-eccentricity orbits.

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Tamanna Jain. 2023-04-18. Gravitational scattering upto third post-Newtonian approximation for conservative dynamics: Scalar-Tensor theories. https://arxiv.org/abs/2304.09052

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