Smooth deformations and cosmic statefinders

TL;DR

This paper explores the impact of smooth geometric deformations on standard cosmology, deriving modified Friedmann equations and testing models against observational data to identify compatible cosmological scenarios.

Contribution

It introduces a novel approach applying smooth Riemannian manifold deformations to FLRW cosmology, resulting in modified equations and models tested against current observational constraints.

Findings

Identifies models compatible with BAO/CMB, SNIa, and galaxy cluster data.

Provides a set of cosmological models incorporating geometric deformations.

Demonstrates the viability of deformation-based modifications to standard cosmology.

Abstract

We study the possibility that the universe is subjected to a deformation, besides its expansion described by Friedmann's equations. The concept of smooth deformation of a riemannian manifolds associated with the extrinsic curvature is applied the standard FLRW cosmology. Starting from the resulting modified Friedman's equation we study two possible solutions with six models for each one in low redshift. In other to constrain the models, we calculate deceleration, jerk and Hubble parameters and compare with different data as the latest BAO/CMB + SNIa constraints, SNLS SNIa, x-ray galaxy clusters and the gold sample (SNIa). As a result, we obtain a set of proper models compatible with the current observational data.