Post-Minkowskian Hamiltonians in general relativity
By Andrea Cristofoli, N. Bjerrum-Bohr, P. Damgaard, Pierre Vanhove. Physical Review D, 2019
155 citations recorded by the source corpus.
We describe the computation of post-Minkowskian Hamiltonians in General Relativity from scattering amplitudes. Using a relativistic Lippmann-Schwinger equation, we relate perturbative amplitudes of massive scalars coupled to gravity to the post-Minkowskian Hamiltonians of classical General Relativity to any order in Newton's constant. We illustrate this by deriving an Hamiltonian for binary black holes without spin up to 2nd order in the post-Minkowskian expansion and demonstrate explicitly the equivalence with the recently proposed method based on an effective field theory matching.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/88e7e87cd8b5f7f98044ff0fba0521a346b387ab
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Citations in the corpus
- Kerr black holes as elementary particles (2019, unknown): “(See [8{11] for some recent results, and [12] for a more comprehensive review.)”
- Black hole binary dynamics from the double copy and effective theory (2019, background): “33) arise from the recent amplitude-based methods [27, 32, 51].”
- From boundary data to bound states (2019, background): “Following the steps outlined in [37] (see also [51]), one could in principle demonstrate that (4.”