Einstein-aether theory in Weyl integrable geometry

TL;DR

This paper explores Einstein-aether theory within Weyl integrable geometry, introducing a scalar field that influences gravitational dynamics, especially in cosmological models, revealing a geometric origin of the scalar-aether interaction.

Contribution

It formulates a novel Einstein-aether scalar field model based on Weyl integrable geometry, highlighting the geometric origin of scalar-aether interactions and their impact on cosmological evolution.

Findings

Scalar field significantly affects gravitational evolution.

Homogeneous and isotropic models analyzed.

Dynamics depend on scalar-aether coupling.

Abstract

We study the Einstein-aether theory in Weyl integrable geometry. The scalar field which defines the Weyl affine connection is introduced in the gravitational field equation. We end up with an Einstein-aether scalar field model where the interaction between the scalar field and the aether field has a geometric origin. The scalar field plays a significant role in the evolution of the gravitational field equations. We focus our study on the case of homogeneous and isotropic background spacetimes and study their dynamical evolution for various cosmological models.