Energetics of two-body Hamiltonians in post-Minkowskian gravity
By Andrea Antonelli, A. Buonanno, J. Steinhoff, M. V. D. Meent, J. Vines. Physical Review D, 2019
132 citations recorded by the source corpus.
Advanced methods for computing perturbative, quantum-gravitational scattering amplitudes show great promise for improving our knowledge of classical gravitational dynamics. This is especially true in the weak-field and arbitrary-speed (post-Minkowskian, PM) regime, where the conservative dynamics at 3PM order has been recently determined for the first time, via an amplitude calculation. Such PM results are most relevantly applicable to relativistic scattering (unbound orbits), while bound/inspiraling binary systems, the most frequent sources of gravitational waves for the LIGO and Virgo detectors, are most suitably modeled by the weak-field and slow-motion (post-Newtonian, PN) approximation. Nonetheless, it has been suggested that PM results can independently lead to improved modeling of bound binary dynamics, especially when taken as inputs for effective-one-body (EOB) models of inspiraling binaries. Here, we initiate a quantitative study of this possibility, by comparing PM, EOB and PN predictions for the binding energy of a two-body system on a quasi-circular inspiraling orbit against results of numerical relativity (NR) simulations. The binding energy is one of the two central ingredients (the other being the gravitational-wave energy flux) that enters the computation of gravitational waveforms employed by LIGO and Virgo detectors, and for (quasi-)circular orbits it provides an accurate diagnostic of the conservative sector of a model. We find that, whereas 3PM results do improve the agreement with NR with respect to 2PM (especially when used in the EOB framework), it is crucial to push PM calculations at higher orders if one wants to achieve better performances than current waveform models used for LIGO/Virgo data analysis.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a84508f614517487da219c9ee7fd17022de69423
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Citations in the corpus
- Spinning black hole binary dynamics, scattering amplitudes, and effective field theory (2020, methodology): “Such Hamiltonians can be imported into the EOB framework [10, 16] used for gravitational-wave template construction.”
- Radiative contribution to classical gravitational scattering at the third order in G (2020, methodology): “[9] A.”
- Post-Minkowskian Hamiltonians in general relativity (2019, methodology): “Such an approach has recently been proposed by Cheung, Rothstein and Solon [8], and it has already been pushed one order higher in the expansion in Newton’s constant [9] (and compared to the post-Newtonian expansions in [10]).”
- From boundary data to bound states (2019, methodology): “termediate step: The Hamiltonian is of course useful, and it was used in [36,37] to derive the scattering angle to 3PM. Once applied to bound states, it can also be used to compute the binding energy [59]. However, as we argue, going through the Hamiltonian is unnecessarily complicated (and of incre”
- Classical and quantum scattering in post-Minkowskian gravity (2019, methodology): “To be concrete, and explicitly display how the 3PM-level result of [24, 25] seems to conflict, in the HE limit, with the 1SF HE result of [53], let us consider the 1SF expansion of the 3PMaccurate EOB Hamiltonian derived in [51] from the results of [24, 25].”