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Hamiltonian for tidal interactions in compact binary systems to next-to-next-to-leading post-Newtonian order
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In previous works, we obtained the leading, next-to-leading and next-to-next-to-leading (NNL) post-Newtonian (PN) corrections in the conservative tidal interactions between two compact non-spinning objects using a Lagrangian of effective field theory (EFT) in harmonic coordinates. In the present paper, we compute the corresponding NNL PN tidal effective Hamiltonian in ADM-like and isotropic coordinates, with contributions from mass quadrupole, current quadrupole and mass octupole tidal interactions, consistently included at that level. We also derive the NNL tidal Hamiltonian in Delaunay variables. We find full agreement in the overlap with recent results that were derived using tools from scattering amplitudes and the EFT to second post-Minkowskian (PM) order.
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Cited by 2 Pith papers
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Quadrupolar tidal effects destroy the integrability of black hole geodesics: analytic proof and numerical evidence of chaos
Leading-order tidally induced quadrupoles destroy Kerr geodesic integrability: no polynomial deformation of the Carter constant is conserved for generic Love couplings and Kerr spin.
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Tidal contributions to the full gravitational waveform to the second-and-a-half post-Newtonian order
Tidal contributions to all gravitational waveform amplitude modes up to l=7 are derived to 2.5PN for quasi-circular non-spinning compact binaries, with flux and phasing provided at the same order.
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