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The k-essence scalar field in the context of Supernova Ia observations

  • Regular Article - Theoretical Physics
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Abstract

A k-essence scalar field model having (non-canonical) Lagrangian of the form L=−V(ϕ)F(X) where \(X=\frac{1}{2}g^{\mu\nu}\nabla_{\mu}\phi\nabla_{\nu}\phi\) with constant V(ϕ) is shown to be consistent with luminosity distance–redshift data observed for type Ia Supernova. For constant V(ϕ), F(X) satisfies a scaling relation which is used to set up a differential equation involving the Hubble parameter H, the scale factor a and the k-essence field ϕ. H and a are extracted from SNe Ia data and using the differential equation the time dependence of the field ϕ is found to be: ϕ(t)∼λ 0+λ 1 t+λ 2 t 2. The constants λ i have been determined. The time dependence is similar to that of the quintessence scalar field (having canonical kinetic energy) responsible for homogeneous inflation. Furthermore, the scaling relation and the obtained time dependence of the field ϕ are used to determine the X-dependence of the function F(X).

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Author notes

  1. Debashis Gangopadhyay

    Present address: Department of Physics, Ramakrishna Mission Vivekananda University, Belur Math, Howrah, 711202, India

Authors and Affiliations

  1. Department of Physics, Ramakrishna Mission Vivekananda University, Belur Math, Howrah, 711202, India

    Abhijit Bandyopadhyay & Arka Moulik

  2. S. N. Bose National Centre for Basic Sciences, Kolkata, 700 098, India

    Debashis Gangopadhyay

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  1. Abhijit Bandyopadhyay
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  2. Debashis Gangopadhyay
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Correspondence to Abhijit Bandyopadhyay.

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Bandyopadhyay, A., Gangopadhyay, D. & Moulik, A. The k-essence scalar field in the context of Supernova Ia observations. Eur. Phys. J. C 72, 1943 (2012). https://doi.org/10.1140/epjc/s10052-012-1943-z

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  • DOI: https://doi.org/10.1140/epjc/s10052-012-1943-z

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