Geodesic motion in Euclidean Schwarzschild geometry

This paper performs a systematic investigation of geodesic motion in Euclidean Schwarzschild geometry, which is studied in the equatorial plane. The explicit form of geodesic motion is obtained in terms of incomplete elliptic integrals of first, second and third kind. No elliptic-like orbits exist i...

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Detalles Bibliográficos
Autores principales: Battista, Emmanuele, Esposito, Giampiero
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/PMC9718721/
https://www.ncbi.nlm.nih.gov/pubmed/36474711
http://dx.doi.org/10.1140/epjc/s10052-022-11070-w
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author Battista, Emmanuele
Esposito, Giampiero
author_facet Battista, Emmanuele
Esposito, Giampiero
author_sort Battista, Emmanuele
collection PubMed
description This paper performs a systematic investigation of geodesic motion in Euclidean Schwarzschild geometry, which is studied in the equatorial plane. The explicit form of geodesic motion is obtained in terms of incomplete elliptic integrals of first, second and third kind. No elliptic-like orbits exist in Euclidean Schwarzschild geometry, unlike the corresponding Lorentzian pattern. Among unbounded orbits, only unbounded first-kind orbits are allowed, unlike general relativity where unbounded second-kind orbits are always allowed.
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spelling pubmed-97187212022-12-04 Geodesic motion in Euclidean Schwarzschild geometry Battista, Emmanuele Esposito, Giampiero Eur Phys J C Part Fields Regular Article - Theoretical Physics This paper performs a systematic investigation of geodesic motion in Euclidean Schwarzschild geometry, which is studied in the equatorial plane. The explicit form of geodesic motion is obtained in terms of incomplete elliptic integrals of first, second and third kind. No elliptic-like orbits exist in Euclidean Schwarzschild geometry, unlike the corresponding Lorentzian pattern. Among unbounded orbits, only unbounded first-kind orbits are allowed, unlike general relativity where unbounded second-kind orbits are always allowed. Springer Berlin Heidelberg 2022-12-02 2022 /pmc/articles/PMC9718721/ /pubmed/36474711 http://dx.doi.org/10.1140/epjc/s10052-022-11070-w 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
Esposito, Giampiero
Geodesic motion in Euclidean Schwarzschild geometry
title Geodesic motion in Euclidean Schwarzschild geometry
title_full Geodesic motion in Euclidean Schwarzschild geometry
title_fullStr Geodesic motion in Euclidean Schwarzschild geometry
title_full_unstemmed Geodesic motion in Euclidean Schwarzschild geometry
title_short Geodesic motion in Euclidean Schwarzschild geometry
title_sort geodesic motion in euclidean schwarzschild geometry
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9718721/
https://www.ncbi.nlm.nih.gov/pubmed/36474711
http://dx.doi.org/10.1140/epjc/s10052-022-11070-w
work_keys_str_mv AT battistaemmanuele geodesicmotionineuclideanschwarzschildgeometry
AT espositogiampiero geodesicmotionineuclideanschwarzschildgeometry

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