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Azimuthal geodesics in closed FLRW cosmological models

Bohmer, Christian G; del Sordo, Antonio d'Alfonso; Hartmann, Betti; Muench, Linus Elias; (2024) Azimuthal geodesics in closed FLRW cosmological models. Physical Review D , 110 (8) , Article 083504. 10.1103/PhysRevD.110.083504. Green open access

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Abstract

We study geodesics in Friedmann-Lemaître-Robertson-Walker (FLRW) cosmological models and give the full set of solutions. For azimuthal geodesics, in a closed universe, we give the angular distance traveled by a test particle moving along such a geodesic during one cycle of expansion and recollapse of the universe. We extend previous results regarding the path followed by light rays to the two-fluid case, also including a cosmological constant, as well as to massive test particles. Our work contains various new results and explicit formulas, often using special functions which naturally appear in this setting.

Type: Article
Title: Azimuthal geodesics in closed FLRW cosmological models
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevD.110.083504
Publisher version: https://doi.org/10.1103/physrevd.110.083504
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Physical Sciences, Astronomy & Astrophysics, Physics, Particles & Fields, Physics, WORLD-STRUCTURE, KINEMATICS, UNIVERSES
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10214644
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