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Geodesic motion in a swirling universe: The complete set of solutions

Capobianco, R; Hartmann, B; Kunz, J; (2024) Geodesic motion in a swirling universe: The complete set of solutions. Physical Review D , 109 (6) , Article 064042. 10.1103/PhysRevD.109.064042. Green open access

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Abstract

We study the geodesic motion in a space-time describing a swirling universe. We show that the geodesic equations can be fully decoupled in the Hamilton-Jacobi formalism leading to an additional constant of motion. The analytical solutions to the geodesic equations can be given in terms of elementary and elliptic functions. We also consider a space-time describing a static black hole immersed in a swirling universe. In this case, full separation of variables is not possible, and the geodesic equations have to be solved numerically.

Type: Article
Title: Geodesic motion in a swirling universe: The complete set of solutions
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevD.109.064042
Publisher version: http://dx.doi.org/10.1103/physrevd.109.064042
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
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/10190093
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