Cosmological scaling solutions of minimally coupled scalar fields in three dimensions

Abstract

We examine Friedmann-Robertson-Walker models in three spacetime dimensions. The matter content of the models is composed of a perfect fluid, with a $\gamma$-law equation of state, and a homogeneous scalar field minimally coupled to gravity with a self-interacting potential whose energy density red-shifts as $a^{-2\nu }$, where a denotes the scale factor. Cosmological solutions are presented for different range of values of $\gamma$ and $\nu$. The potential required to agree with the above red-shift for the scalar field energy density is also calculated.

LaTeX2e, 11 pages, 4 figures. To be published in Classical and Quantum Gravity

References in corpus (4)

• General Scalar Fields as Quintessence
• Holographic Principle in the Closed Universe : a Resolution with Negative Pressure Matter
• Holography in (2+1)-dimensional cosmological models
• Holography and the generalized second law of thermodynamics in (2+1)-dimensional cosmology

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• Noncommutative Double Scalar Fields in FRW Cosmology as Cosmical Oscillators
• Relationship between (2+1) and 3+1)--Friedmann--Robertson--Walker cosmologies
• Einstein-Maxwell gravity coupled to a scalar field in 2+1-dimensions
• Closed universes can satisfy the holographic principle in three dimensions
• Classical Universe Arising from Quantum Cosmology
• Gravitational Foundations and Exact Solutions in $n$-Dimensional Fractional Cosmology
• Emergence of the Gambier equation in cosmology