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.
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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 |
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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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