Abstract
In this paper, we explore an Einstein-aether cosmological model by adding the scalar field in which it has an interaction with the aether field. For the cosmological implications of the model, we consider that the universe can be described by the spatially flat FRW metric together with the matter dominated universe. Applying Noether symmetry approach to the point-like Lagrangian we determine the explicit forms of unknown functions i.e. the potential and coupling function. We solve the analytical cosmological solutions of the field equations admitting the Noether symmetry, basically divided into two parts. Our results show that the obtained solutions lead to an accelerated expansion of the universe. We also discuss the tensor perturbations within the framework of this model in order to get information about the mass of gravitational waves.
Highlights
Higgs mechanism, the breaking of the Lorentz symmetry by this vector field can cause graviton to be massive
A general term for variation of energy and angular momentum has been obtained on the black hole horizon, no general term for black hole entropy has been found
The spherical solution of the Einstein-aether theory has been investigated in [6,7,8,9]. Where they show that a three-parameter family of spherical solutions is available in such a way that these spherical solutions to the state of a perfect fluid star accurately determine the amplitude of stability for stars with a constant density
Summary
The breaking of the Lorentz symmetry by this vector field can cause graviton to be massive. Noether’s approach has long been used to solve cosmological problems, and so this approach has been widely used in the literature [52] Using this approach, one can determine the function of potential and the coupling coefficients so that the model remains invariant under continuous symmetry. Motivated by the above discussions, we study Einstein-aether’s theory using Noether approach and obtain an accurate answer for this model using the invariant quantities and symmetries in the system. Applying the Noether’s approach to the theory, we obtain the potential function and other coupling functions and show that this model can be a good candidate for dark energy. In the third section, using the Noether symmetry approach, we solve the Einstein-aether model and investigate the cosmological aspects of the model. The fifth section of the article is devoted to a conclusion
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