First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals

The rotational dynamics of an N-body system at the first post-Newtonian order in Einstein–Cartan theory is derived. This result is achieved by performing the point-particle limit of the equations of motion of the Weyssenhoff fluid, which models the quantum spin effects residing inside the bodies. Fo...

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Detalles Bibliográficos
Autores principales: Battista, Emmanuele, De Falco, Vittorio, Usseglio, Davide
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Regular Article - Theoretical Physics
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9910320/
https://www.ncbi.nlm.nih.gov/pubmed/36776578
http://dx.doi.org/10.1140/epjc/s10052-023-11249-9
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author Battista, Emmanuele
De Falco, Vittorio
Usseglio, Davide
author_facet Battista, Emmanuele
De Falco, Vittorio
Usseglio, Davide
author_sort Battista, Emmanuele
collection PubMed
description The rotational dynamics of an N-body system at the first post-Newtonian order in Einstein–Cartan theory is derived. This result is achieved by performing the point-particle limit of the equations of motion of the Weyssenhoff fluid, which models the quantum spin effects residing inside the bodies. For the special case of binary systems, we determine the Lagrangian function and the resulting first integrals underlying the translational dynamics and the spin precession.
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spelling pubmed-99103202023-02-10 First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals Battista, Emmanuele De Falco, Vittorio Usseglio, Davide Eur Phys J C Part Fields Regular Article - Theoretical Physics The rotational dynamics of an N-body system at the first post-Newtonian order in Einstein–Cartan theory is derived. This result is achieved by performing the point-particle limit of the equations of motion of the Weyssenhoff fluid, which models the quantum spin effects residing inside the bodies. For the special case of binary systems, we determine the Lagrangian function and the resulting first integrals underlying the translational dynamics and the spin precession. Springer Berlin Heidelberg 2023-02-02 2023 /pmc/articles/PMC9910320/ /pubmed/36776578 http://dx.doi.org/10.1140/epjc/s10052-023-11249-9 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.
spellingShingle Regular Article - Theoretical Physics
Battista, Emmanuele
De Falco, Vittorio
Usseglio, Davide
First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals
title First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals
title_full First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals
title_fullStr First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals
title_full_unstemmed First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals
title_short First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals
title_sort first post-newtonian n-body problem in einstein–cartan theory with the weyssenhoff fluid: lagrangian and first integrals
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9910320/
https://www.ncbi.nlm.nih.gov/pubmed/36776578
http://dx.doi.org/10.1140/epjc/s10052-023-11249-9
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