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Phantom expansion with non-linear Schrödinger-type formulation of scalar field cosmology

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Abstract

We describe non-flat standard Friedmann cosmology of canonical scalar field with barotropic fluid in form of non-linear Schrödinger-type (NLS) formulation in which all cosmological dynamical quantities are expressed in term of Schrödinger quantities as similar to those in time-independent quantum mechanics. We assume the expansion to be superfast, i.e. phantom expansion. We report all Schrödinger-analogous quantities to scalar field cosmology. Effective equation of state coefficient is analyzed and illustrated. We show that in a non-flat universe, there is no fixed w eff value for the phantom divide. In a non-flat universe, even w eff > −1, the expansion can be phantom. Moreover, in open universe, phantom expansion can happen even with w eff > 0. We also report scalar field exact solutions within frameworks of the Friedmann formulation and the NLS formulation in non-flat universe cases.

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Authors and Affiliations

  1. Fundamental Physics and Cosmology Research Unit, The Tah Poe Academia Institute (TPTP), Department of Physics, Naresuan University, Phitsanulok, 65000, Siam, Thailand

    Theerakarn Phetnora, Roongtum Sooksan & Burin Gumjudpai

  2. Department of Applied Mathematics and Theoretical Physics, Centre for Theoretical Cosmology, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UK

    Burin Gumjudpai

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  1. Theerakarn Phetnora
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  2. Roongtum Sooksan
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  3. Burin Gumjudpai
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Correspondence to Burin Gumjudpai.

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Phetnora, T., Sooksan, R. & Gumjudpai, B. Phantom expansion with non-linear Schrödinger-type formulation of scalar field cosmology. Gen Relativ Gravit 42, 225–240 (2010). https://doi.org/10.1007/s10714-009-0831-9

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  • DOI: https://doi.org/10.1007/s10714-009-0831-9

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