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 IC CPU 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 Eyeglasses 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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