Tidal Effects in the Post-Minkowskian Expansion

2020/06/11 by Clifford Cheung, Mikhail P. Solon · 2 citations
Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Gamma-ray bursts and supernovae #Mechanics #Physics #Pulsars and Gravitational Waves Research #Statistical physics #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.125.191601

published as Phys. Rev. Lett. 125, 191601 (2020) · 5 pages + references, 1 figure, 1 ancillary file

arxiv created 2020/06/11 · openalex publication_date 2020/11/02 · arxiv updated 2020/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present Letter, we extend this approach to include the tidal effects of mass and current quadrupoles on the conservative dynamics of nonspinning neutron star mergers. We compute the leading and, for the first time, next-to-leading order post-Minkowskian finite size corrections to the conservative Hamiltonian, together with their associated scattering amplitudes and scattering angles. Our expressions are gauge invariant and, in the extreme mass ratio limit, consistent with the dynamics of a tidally deformed test body in a Schwarzschild background. Furthermore, they agree completely with existing results at leading post-Minkowskian and second post-Newtonian orders.

Citations

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Cited by

• Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order
• Tidal effects for spinning particles