# Bounce cosmology in generalized modified gravities

## TL;DR

This paper explores how generalized Finsler and Finsler-like geometries can facilitate cosmological bounce solutions, highlighting the role of extra degrees of freedom and scalar fields in driving the bounce.

## Contribution

It demonstrates that Finsler-Randers space and theories with nonlinear connections naturally support bouncing cosmologies, expanding the understanding of geometric frameworks in early universe models.

## Key findings

- Finsler-Randers space can induce scalar anisotropy that enables a bounce.
- General Finsler-like theories with nonlinear connections include scalar fields that drive bouncing solutions.
- Certain Finsler geometries do not easily produce bounce solutions, indicating geometric specificity.

## Abstract

We investigate the bounce realization in the framework of generalized modified gravities arising from Finsler and Finsler-like geometries. In particular, the richer intrinsic geometrical structure is reflected in the appearance of extra degrees of freedom in the Friedmann equations that can drive the bounce. We examine various Finsler and Finsler-like constructions. In the cases of general very special relativity as well as of Finsler-like gravity on the tangent bundle we show that a bounce cannot be easily obtained. However, in the Finsler-Randers space the induced scalar anisotropy can fulfill the bounce conditions and bouncing solutions are easily obtained. Finally, for the general class of theories that include a nonlinear connection a new scalar field is induced, leading to a scalar-tensor structure that can easily drive a bounce. These features reveal the capabilities of Finsler and Finsler-like geometries.