Vector fields and Loop Quantum Cosmology

Abstract

In the context of the Loop Quantum Cosmology we have analysed the holonomy correction to the classical evolution of the simplified Bianchi I model in the presence of vector fields. For the Universe dominated by a massive vector field or by a combination of a scalar field and a vector field a smooth transition between Kasner-like and Kasner-unlike solutions for a Bianchi I model has been demonstrated. In this case a lack of initial curvature singularity and a finite maximal energy density appear already at the level of General Relativity, which simulates a classical Big Bounce.

16 pages, 6 figures, plain LaTeX

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Cited by in corpus (7)

• Curvature invariants, geodesics and the strength of singularities in Bianchi-I loop quantum cosmology
• Quantum gravitational Kasner transitions in Bianchi-I spacetime
• Loop quantum cosmology of a radiation-dominated flat FLRW universe
• A late time accelerated FRW model with scalar and vector fields via Noether symmetry
• Banks-Zaks Cosmology, Inflation, and the Big Bang Singularity
• Closed-form solutions of the Wheeler-DeWitt equation in a scalar-vector field cosmological model by Lie symmetries
• Classical bouncing Universes from vector fields