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Geodesic Motion in a Swirling Universe: The complete set of solutions

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arxiv 2312.17347 v1 pith:MAGO36RP submitted 2023-12-28 gr-qc

Rogério Capobianco , Betti Hartmann , Jutta Kunz This is my paper · ORCID
classification gr-qc
keywords geodesicequationsmotionswirlinguniversedescribingsolutionsspace-time
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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.

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