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On the Non Metrizability of Berwald Finsler Spacetimes

Cosmological Finsler Spacetimes

by 1,†, 1,† and 2,*,†
Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411 Tartu, Estonia
Faculty of Mathematics and Computer Science, Transilvania University, Iuliu Maniu Str. 50, 500091 Brasov, Romania
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Universe 2020, 6(5), 65;
Received: 29 February 2020 / Revised: 21 April 2020 / Accepted: 27 April 2020 / Published: 5 May 2020
(This article belongs to the Special Issue Finsler Modification of Classical General Relativity)
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-Lemaître-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. View Full-Text
Keywords: Finsler geometry; Berwald space; Berwald spacetime; cosmology; cosmological principle on Finsler spacetimes Finsler geometry; Berwald space; Berwald spacetime; cosmology; cosmological principle on Finsler spacetimes
MDPI and ACS Style

Hohmann, M.; Pfeifer, C.; Voicu, N. Cosmological Finsler Spacetimes. Universe 2020, 6, 65.

AMA Style

Hohmann M, Pfeifer C, Voicu N. Cosmological Finsler Spacetimes. Universe. 2020; 6(5):65.

Chicago/Turabian Style

Hohmann, Manuel, Christian Pfeifer, and Nicoleta Voicu. 2020. "Cosmological Finsler Spacetimes" Universe 6, no. 5: 65.

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