The 2PM Hamiltonian for binary Kerr to quartic in spin

Fuente: arXiv
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Autores principales: Chen, Wei-Ming, Chung, Ming-Zhi, Huang, Yu-tin, Kim, Jung-Wook
Formato: Preprint
Publicado: 2021
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author Chen, Wei-Ming
Chung, Ming-Zhi
Huang, Yu-tin
Kim, Jung-Wook
author_facet Chen, Wei-Ming
Chung, Ming-Zhi
Huang, Yu-tin
Kim, Jung-Wook
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2111_13639
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle The 2PM Hamiltonian for binary Kerr to quartic in spin
Chen, Wei-Ming
Chung, Ming-Zhi
Huang, Yu-tin
Kim, Jung-Wook
High Energy Physics - Theory
General Relativity and Quantum Cosmology
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.
title The 2PM Hamiltonian for binary Kerr to quartic in spin
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2111.13639