Friedmann-Lema\^itre-Robertson-Walker cosmology through the lens of gravitoelectromagnetism
Valerio Faraoni, Genevi\`eve Vachon, Robert Vanderwee, Sonia Jose
TL;DR
This paper explores FLRW cosmology using gravitoelectromagnetism within small spacetime regions, highlighting gauge choices and differences from standard asymptotically flat cases.
Contribution
It introduces a novel application of gravitoelectromagnetism to FLRW cosmology, emphasizing the Painlevé-Gullstrand gauge's suitability over the Lorentz gauge.
Findings
Painlevé-Gullstrand gauge is more natural for small FLRW regions.
Differences between cosmological and asymptotically flat gravitoelectromagnetism are identified.
Standard Lorentz gauge is unsuitable in this context.
Abstract
Friedmann-Lema\^itre-Robertson-Walker cosmology is examined from the point of view of gravitoelectromagnetism, in the approximation of spacetime regions small in comparison with the Hubble radius. The usual Lorentz gauge is not appropriate for this situation, while the Painlev\'e-Gullstrand gauge is rather natural. Several non-trivial features and differences with respect to "standard" asymptotically flat gravitoelectromagnetism are discussed.
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