The scalar Einsteinaether theory
Abstract
We consider an Einsteinaether type Lorentzviolating theory of gravity in which the aether vector field $V_{\mu }$ is represented as the gradient of a scalar field $\phi $, $V_{\mu }=\nabla _{\mu }\phi $. A self interacting potential for the scalar aether field is considered, as well as the possibility of a coupling between the hydrodynamic matter flux and the aether field, with the imposition of the timelike nature of the aether vector. The gravitational field equations and the equation of motion of the scalar field are derived by varying the action with respect to the metric and $\phi $. In the absence of matter flux and scalar field coupling the effective energymomentum tensor of the scalar aether is conserved. The matter fluxaether coupling generates an extra force acting on massive test particles and consequently the motion becomes nongeodesic. The Newtonian limit of the theory is investigated and the generalized Poisson equation for weak gravitational fields is obtained. The cosmological implications of the theory is also considered and it is shown that in the framework of the Scalar Einsteinaether theory both decelerating and accelerating cosmological models can be constructed.
 Publication:

arXiv eprints
 Pub Date:
 April 2014
 arXiv:
 arXiv:1404.7689
 Bibcode:
 2014arXiv1404.7689H
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 11 pages