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Quasi-geodesics in relativistic gravity

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arxiv 2011.05891 v1 pith:B5WCZF3Z submitted 2020-11-11 gr-qc astro-ph.CO

Valerio Faraoni , Geneviève Vachon (Bishop's University) This is my paper · ORCID
classification gr-qcastro-ph.CO
keywords parallelaffinecosmologyparticlealwaysapplicationchangescosmic
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A four-force parallel to the trajectory of a massive particle can always be eliminated by going to an affine parametrization, but the affine parameter is different from the proper time. The main application is to cosmology, in which elements of the cosmic fluid are subject to a pressure gradient parallel to their four-velocities. Natural implementations of parallel four-forces occur when the particle mass changes and in scalar-tensor cosmology.

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  1. Forces parallel to particle trajectories in relativistic gravity

    gr-qc 2025-07 reject novelty 2.0 of 10

    A pedagogical note claims that parallel forces in cosmology and scalar-tensor gravity can be reparametrized away, but its claim that such forces occur generally in Einstein frame scalar-tensor gravity relies on an inv...

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