The 2PM Hamiltonian for binary Kerr to quartic in spin
Journal
JHEP 08 (2022) 148
Journal Volume
2022
Journal Issue
8
Date Issued
2021-11-27
Author(s)
Abstract
From the S-matrix of spinning particles, we extract the 2 PM conservative
potential for binary spinning black holes up to quartic order in spin
operators. An important ingredient is the exponentiated gravitational Compton
amplitude in the classical spin-limit for all graviton helicity sectors. The
validity of the resulting Hamiltonian is verified by matching to known lower
spin order results, as well as direct computation of the 2PM impulse and spin
kicks from the eikonal phase and that from the test black hole scattering based
on Mathisson-Papapetrou-Dixon equations.
Subjects
Classical Theories of Gravity; Scattering Amplitudes; SCATTERING; PARTICLES; EQUATIONS; MOTION; APPROXIMATION; MOMENTUM; DYNAMICS; FIELD; High Energy Physics - Theory; High Energy Physics - Theory; General Relativity and Quantum Cosmology
Publisher
SPRINGER
Description
Published version; minor corrections and improvements for clarity
Type
journal article