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

Theerakarn Phetnora; Roongtum Sooksan; Burin Gumjudpai

doi:10.1007/s10714-009-0831-9

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

Theerakarn Phetnora
, Roongtum Sooksan
, Burin Gumjudpai

Naresuan University
University of Cambridge

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	225-240
Number of pages	16
Journal	General Relativity and Gravitation
Volume	42
Issue number	2
DOIs	https://doi.org/10.1007/s10714-009-0831-9
Publication status	Published - Feb 2010
Externally published	Yes

Keywords

Non-linear Schrödinger-type formulation of cosmology
Phantom expansion
Scalar field cosmology

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10.1007/s10714-009-0831-9

Cite this

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title = "Phantom expansion with non-linear Schr{\"o}dinger-type formulation of scalar field cosmology",

abstract = "We describe non-flat standard Friedmann cosmology of canonical scalar field with barotropic fluid in form of non-linear Schr{\"o}dinger-type (NLS) formulation in which all cosmological dynamical quantities are expressed in term of Schr{\"o}dinger quantities as similar to those in time-independent quantum mechanics. We assume the expansion to be superfast, i. e. phantom expansion. We report all Schr{\"o}dinger-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 weff value for the phantom divide. In a non-flat universe, even weff > -1, the expansion can be phantom. Moreover, in open universe, phantom expansion can happen even with weff > 0. We also report scalar field exact solutions within frameworks of the Friedmann formulation and the NLS formulation in non-flat universe cases.",

keywords = "Non-linear Schr{\"o}dinger-type formulation of cosmology, Phantom expansion, Scalar field cosmology",

author = "Theerakarn Phetnora and Roongtum Sooksan and Burin Gumjudpai",

year = "2010",

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doi = "10.1007/s10714-009-0831-9",

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AU - Phetnora, Theerakarn

AU - Sooksan, Roongtum

AU - Gumjudpai, Burin

PY - 2010/2

Y1 - 2010/2

N2 - 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 weff value for the phantom divide. In a non-flat universe, even weff > -1, the expansion can be phantom. Moreover, in open universe, phantom expansion can happen even with weff > 0. We also report scalar field exact solutions within frameworks of the Friedmann formulation and the NLS formulation in non-flat universe cases.

AB - 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 weff value for the phantom divide. In a non-flat universe, even weff > -1, the expansion can be phantom. Moreover, in open universe, phantom expansion can happen even with weff > 0. We also report scalar field exact solutions within frameworks of the Friedmann formulation and the NLS formulation in non-flat universe cases.

KW - Non-linear Schrödinger-type formulation of cosmology

KW - Phantom expansion

KW - Scalar field cosmology

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DO - 10.1007/s10714-009-0831-9

M3 - Article

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JO - General Relativity and Gravitation

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ER -

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

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Keywords

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