Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion

Abstract

We compute the mass and current quadrupole tidal corrections to the four-momentum and energy flux radiated during the scattering of two spinless bodies, at leading order in $G$ and at all orders in the velocities, using the effective field theory worldline approach. In particular, we derive the conserved stress-energy tensor linearly coupled to gravity generated by the two bodies, including tidal fields, and the waveform in direct space. The integral is solved using scattering amplitude techniques. We show that our expressions are consistent with existing results up to the next-to-next-to-leading order in the post-Newtonian expansion.

11 pages and 1 figure, updated with computation of the energy flux. Ancillary file updated. Typos corrections, add eq. (28) and some references

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• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Inelastic Exponentiation and Classical Gravitational Scattering at One Loop
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Scattering Angles in Kerr Metrics
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Renormalizing Love: tidal effects at the third post-Newtonian order
• Gravitational Scattering and Beyond from Extreme Mass Ratio Effective Field Theory
• Gravitational Bound Waveforms from Amplitudes
• Gravitoelectric dynamical tides at second post-Newtonian order
• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
• Loop corrections versus marginal deformation in celestial holography
• Double soft graviton factors from the gravitational Wilson line
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