Cyclic and Ekpyrotic Universes in Modified Finsler Osculating Gravity on Tangent Lorentz Bundles

TL;DR

This paper explores Einstein-Finsler gravity models on tangent Lorentz bundles, demonstrating their ability to replicate cosmic acceleration and inflation scenarios, offering viable alternatives to standard cosmology through decoupling properties of gravitational equations.

Contribution

It generalizes existing f(R) gravity models to Einstein-Finsler gravity, showing how to reconstruct cosmological solutions compatible with observational data.

Findings

EFG models can produce inflation and acceleration scenarios.

Decoupling property enables off-diagonal cosmological solutions.

EFG offers realistic alternatives to Lambda CDM.

Abstract

We consider models of accelerating Universe elaborated for Finsler like gravity theories constructed on tangent bundles to Lorentz manifolds. In the osculating approximation, certain locally anisotropic configurations are similar to those for f(R) gravity. This allows us to generalize a proposal (by Nojiri, Odintsov and Saez-Gomez, arXiv: 1108.0767) in order to reconstruct and compare two classes of Einstein-Finsler gravity, EFG, and f(R) gravity theories using modern cosmological data and realistic physical scenarios. We conclude that EFG provides inflation, acceleration and little rip evolution scenarios with realistic alternatives to standard Lambda CDM cosmology. The approach is based on a proof that there is a general decoupling property of gravitational field equations in EFG and modified theories which allows us to generate off-diagonal cosmological solutions.