Cheng-Weyl Vector Field and its Cosmological Application

Abstract

Weyl's idea on scale invariance was resurrected by Cheng in 1988. The requirement of local scale invariance leads to a completely new vector field, which we call the ``Cheng-Weyl vector field''. The Cheng-Weyl vector field couples only to a scalar field and the gravitational field naturally. It does not interact with other known matters in the standard model of particle physics. In the present work, the (generalized) Cheng-Weyl vector field coupled with the scalar field and its cosmological application are investigated. A mixture of the scalar field and a so-called ``cosmic triad'' of three mutually orthogonal Cheng-Weyl vector fields is regarded as the dark energy in the universe. The cosmological evolution of this ``mixed'' dark energy model is studied. We find that the effective equation-of-state parameter of the dark energy can cross the phantom divide $w_{de}=-1$ in some cases; the first and second cosmological coincidence problems can be alleviated at the same time in this model.

16 pages, revtex4; v2: references added; v3: discussions added, to appear in JCAP; v4: published version

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• Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity
• Interacting Agegraphic Dark Energy
• Entropy-Corrected Holographic Dark Energy
• Crossing of the Phantom Divided Barrier with Lorentz Invariance Violating Fields
• Relaxing the Cosmological Constraints on Unparticle Dark Component
• Supersymmetric inflation and baryogenesis via Extra-Flat directions of the MSSM
• Space, Time, and Tachyon Condensation