Gravitational two-body problem with acceleration-dependent spin terms
type: Item
instance of: scholarly article
title: Gravitational two-body problem with acceleration-dependent spin terms
zbMATH Open document ID: 0613.70016
DOI: 10.1007/BF01090486
author: B. M. Barker
author: R. F. O'Connell
published in: General Relativity and Gravitation
publication date: 1986-01-01T00:00:00Z
review text: We generalize our previous work [Phys. Rev. D 14, 861 ff. (1976)], on the gravitational two-body post-Newtonian Lagrangian with spin and parametrized post-Newtonian parameters \(\gamma\) and \(\beta\), by adding acceleration-dependent spin terms corresponding to an arbitrary spin supplementary condition. For the purpose of constructing the corresponding Hamiltonian we make use of our recently developed method of the double zero. Using this method, we remove the acceleration-dependent spin terms from the Lagrangian and, in the process, create new non- acceleration-dependent terms. Use of this new Lagrangian enables us to construct the Hamiltonian corresponding to the arbitrary spin supplementary condition. Energy constants of the motion are also discussed.
Mathematics Subject Classification ID: 70H40
Mathematics Subject Classification ID: 83C25
Mathematics Subject Classification ID: 81T20
zbMATH DE Number: 3992969
zbMATH Keywords: gravitational two-body post-Newtonian Lagrangian with spin
zbMATH Keywords: post- Newtonian parameters
zbMATH Keywords: acceleration-dependent spin terms
zbMATH Keywords: spin supplementary condition
zbMATH Keywords: method of the double zero
MaRDI profile type: Publication
cites work: Q5567753
cites work: Q3923930
full work available at URL: https://doi.org/10.1007/bf01090486
OpenAlex ID: W2092077339
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description: scientific article; zbMATH DE number 3992969