Cosmologies with General Non-Canonical Scalar Field

Abstract

We generally investigate the scalar field model with the lagrangian $L=F(X)-V(\varphi )$, which we call it {\it General Non-Canonical Scalar Field Model}. We find that it is a special square potential(with a negative minimum) that drives the linear field solution($\varphi ={\varphi }_{0}t$) while in K-essence model(with the lagrangian $L=-V(\varphi )F(X)$) the potential should be taken as an inverse square form. Hence their cosmological evolution are totally different. We further find that this linear field solutions are highly degenerate, and their cosmological evolutions are actually equivalent to the divergent model where its sound speed diverges. We also study the stability of the linear field solution. With a simple form of $F(X)=1-\sqrt{1-2X}$ we indicate that our model may be considered as a unified model of dark matter and dark energy. Finally we study the case when the baryotropic index $\gamma$ is constant. It shows that, unlike the K-essence, the detailed form of F(X) depends on the potential $V(\varphi )$. We analyze the stability of this constant ${\gamma }_0$ solution and find that they are stable for ${\gamma }_0\le 1$. Finally we simply consider the constant c_s^2 case and get an exact solution for F(X)

13 pages, one figure, typo corrected, references added, the contents and results enhanced, but previous results remains no change,changed the title "Cosmologies with General Non-Linear Scalar Field" as "Cosmologies with General Non-Canonical Scalar Field"

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• Constant-roll approach to non-canonical inflation
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• Cosmic acceleration in non-canonical scalar field model - An interacting scenario
• Measuring Unified Dark Matter with 3D Cosmic Shear
• Light of Planck-2015 on Non-Canonical Inflation
• Clustering dark energy imprints on cosmological observables of the gravitational field
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• A study of interacting scalar field model from the perspective of the dynamical systems theory
• Classifying the behavior of noncanonical quintessence
• The Consistent Result of Cosmological Constant From Quantum Cosmology and Inflation with Born-Infeld Scalar Field
• Dynamical systems analysis of an interacting scalar field model in an anisotropic universe
• A new generic evolution for $k$-essence dark energy with $w\approx -1$
• Dynamics of dark energy in the gravitational fields of matter inhomogeneities
• Global phase space analysis for a class of single scalar field bouncing solutions in general relativity
• From Dark Radiation to Dark Energy: Unified Cosmological Evolution in K-essence Models