Einstein-aether theory in Weyl integrable geometry

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.

14 pages, 8 compound figures

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• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Thermodynamics of massless particles in curved spacetime
• Integrability and Cosmological Solutions in Einstein-aether-Weyl theory
• Thermodynamics of the Weyl Geometric Gravity Black Holes
• Geometric formulation of $k$-essence and late-time acceleration