Geometry of Dark Energy

TL;DR

This paper explores a novel geometric approach to dark energy, modeling it as an extrinsic curvature effect that acts like a spin-2 field, and tests its compatibility with supernova observations.

Contribution

It introduces a new framework where extrinsic curvature is treated as an independent spin-2 field governed by Einstein-like equations, extending previous models.

Findings

Extrinsic curvature can account for cosmic acceleration.

The model fits current supernova data well.

Cosmological implications support the viability of the approach.

Abstract

The acceleration of the universe is described as a dynamical effect of the extrinsic curvature of space-time. By extending previous results, the extrinsic curvature is regarded as an independent spin-2 field, determined by a set of non-linear equations similar to Einstein's equations. In this framework, we investigate some cosmological consequences of this class of scenarios and test its observational viability by performing a statistical analysis with current type Ia Supernova data.