First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion

We derive the equations of motion for an N-body system in the Einstein–Cartan gravity theory at the first post-Newtonian order by exploiting the Weyssenhoff fluid as the spin model. Our approach consists in performing the point-particle limit of the continuous description of the gravitational source...

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Autores principales: Battista, Emmanuele, Falco, Vittorio De
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Regular Article - Theoretical Physics
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9440882/
https://www.ncbi.nlm.nih.gov/pubmed/36072828
http://dx.doi.org/10.1140/epjc/s10052-022-10746-7
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author Battista, Emmanuele
Falco, Vittorio De
author_facet Battista, Emmanuele
Falco, Vittorio De
author_sort Battista, Emmanuele
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description We derive the equations of motion for an N-body system in the Einstein–Cartan gravity theory at the first post-Newtonian order by exploiting the Weyssenhoff fluid as the spin model. Our approach consists in performing the point-particle limit of the continuous description of the gravitational source. The final equations provide a hint for the validity of the effacing principle at 1PN level in Einstein–Cartan model. The analogies with the general relativistic dynamics involving the macroscopic angular momentum are also discussed.
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spelling pubmed-94408822022-09-05 First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion Battista, Emmanuele Falco, Vittorio De Eur Phys J C Part Fields Regular Article - Theoretical Physics We derive the equations of motion for an N-body system in the Einstein–Cartan gravity theory at the first post-Newtonian order by exploiting the Weyssenhoff fluid as the spin model. Our approach consists in performing the point-particle limit of the continuous description of the gravitational source. The final equations provide a hint for the validity of the effacing principle at 1PN level in Einstein–Cartan model. The analogies with the general relativistic dynamics involving the macroscopic angular momentum are also discussed. Springer Berlin Heidelberg 2022-09-03 2022 /pmc/articles/PMC9440882/ /pubmed/36072828 http://dx.doi.org/10.1140/epjc/s10052-022-10746-7 Text en © The Author(s) 2022 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
Falco, Vittorio De
First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion
title First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion
title_full First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion
title_fullStr First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion
title_full_unstemmed First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion
title_short First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion
title_sort first post-newtonian n-body problem in einstein–cartan theory with the weyssenhoff fluid: equations of motion
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9440882/
https://www.ncbi.nlm.nih.gov/pubmed/36072828
http://dx.doi.org/10.1140/epjc/s10052-022-10746-7
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