EINSTEIN-AETHER THEORY IN WEYL INTEGRABLE GEOMETRY

Einstein-aether theory in Weyl integrable geometry

Einstein-aether theory in Weyl integrable geometry

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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 Shorts scalar field and the aether field has a geometric origin.The scalar field plays a significant role in the evolution PAL and Coaxial 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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