Regular Article - Theoretical Physics
Einstein-aether theory in Weyl integrable geometry
Institute of Systems Science, Durban University of Technology, 4000, Durban, South Africa
2 Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, 1280, Casilla, Antofagasta, Chile
3 DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Rd., CB3 0WA, Cambridge, UK
Accepted: 24 October 2020
Published online: 1 December 2020
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.
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