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arXiv · 2003.02299

Cosmological Finsler Spacetimes

Manuel Hohmann·Christian Pfeifer·Nicoleta Voicu
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Abstract

Applying the cosmological principle to Finsler spacetimes, we identify the Lie Algebra of symmetry generators of spatially homogeneous and isotropic Finsler geometries, thus generalising Friedmann-Lema\^{i}tre-Robertson-Walker geometry. In particular, we find the most general spatially homogeneous and isotropic Berwald spacetimes, which are Finsler spacetimes that can be regarded as closest to pseudo-Riemannian geometry. They are defined by a Finsler Lagrangian built from a zero-homogeneous function on the tangent bundle, which encodes the velocity dependence of the Finsler Lagrangian in a very specific way. The obtained cosmological Berwald geometries are candidates for the description of the geometry of the universe, when they are obtained as solutions from a Finsler gravity equation.

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Manuel Hohmann, Christian Pfeifer, Nicoleta Voicu. 2020-03-04. Cosmological Finsler Spacetimes. https://doi.org/10.3390/universe6050065

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