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2016•arXiv (Cornell University)Open access

Some exact solutions in K-essence theory isotropic cosmology

Luis O. Pimentel, Carlos Gabarrete

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Abstract

We use a simple form of the K-essence theory and apply it to the classic isotropic cosmological model and seek exact solutions. The particular form of the kinetic term that we choose is $K \left(ϕ, X \right)= K_0(ϕ)X^m +K_1$. The resulting field equations in the homogeneous and isotropic cosmology (FRW)is considered. Several exact solutions are obtained.

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What this paper is about

We use a simple form of the K-essence theory and apply it to the classic isotropic cosmological model and seek exact solutions. The particular form of the kinetic term that we choose is $K \left(ϕ, X \right)= K_0(ϕ)X^m +K_1$. The resulting field equations in the homogeneous and isotropic cosmology (FRW)is considered. Several exact solutions are obtained.

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Available abstract

We use a simple form of the K-essence theory and apply it to the classic isotropic cosmological model and seek exact solutions. The particular form of the kinetic term that we choose is $K \left(ϕ, X \right)= K_0(ϕ)X^m +K_1$. The resulting field equations in the homogeneous and isotropic cosmology (FRW)is considered. Several exact solutions are obtained.

Key concepts: Friedmann–Lemaître–Robertson–Walker metric, Isotropy, Cosmology, Homogeneous, Simple (philosophy), Physics, Mathematical physics, Exact solutions in general relativity

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