Principles of Einstein-Finsler Gravity and Cosmology
Sergiu I. Vacaru
TL;DR
This paper explores Finsler gravity theories, reformulating Einstein's gravity within Finsler geometry, and discusses solutions like Finsler branes and their implications for modern cosmology.
Contribution
It develops a framework for Finsler gravity with metric compatible connections, showing how Einstein gravity can be equivalently expressed in Finsler variables and analyzing cosmological solutions.
Findings
Reformulation of Einstein gravity in Finsler variables
Construction of Finsler brane solutions
Implications for modern cosmology
Abstract
We analyze the foundations of Finsler gravity theories with metric compatible connections constructed on nonholonomic tangent bundles, or (pseudo) Riemannian manifolds. There are considered "minimal" modifications of Einstein gravity (including theories with violation of local Lorentz invariance) and shown how the general relativity theory and generalizations can be equivalently re--formulated in Finsler like variables. We focus on Finsler branes solutions and perspectives in modern cosmology.
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