Noether symmetric classical and quantum scalar field cosmology
Identifieur interne : 000A98 ( Main/Exploration ); précédent : 000A97; suivant : 000A99Noether symmetric classical and quantum scalar field cosmology
Auteurs : Babak Vakili [Iran] ; Farhad Khazaie [Iran]Source :
- Classical and Quantum Gravity [ 0264-9381 ] ; 2012-02-07.
English descriptors
- Teeft :
- Canonical, Canonical quantization, Classical equations, Classical singularity, Classical solutions, Classical trajectories, Classical trajectory, Corresponding contour plot, Cosmological model, Cosmology, Cyclic, Dynamical, Dynamical system, Dynamical variables, Eigenfunctions, General solutions, Good correlation, Grav, Gure, Hamiltonian, Integration constants, Khazaie, Lagrangian, Lett, Metric, Minisuperspace, Minisuperspace variables, Minkowskian, Noether, Noether symmetry, Noether symmetry approach, Noether symmetry condition, Nonsingular boundary, Other hand, Phantom, Phys, Point transformation, Potential function, Probability density, Quantization, Quantum, Quantum cosmology, Quantum effects, Quantum grav, Quantum patterns, Quantum solutions, Quantum version, Scalar, Scale factor, Singularity, Sinh, Superposition, Symmetry, Tangent space, Time parameter, Trajectory, Vakili, Wave packets, Wavefunction.
Abstract
We study the evolution of a two-dimensional minisuperspace cosmological model in classical and quantum levels by the Noether symmetry approach. The phase space variables turn out to correspond to the scale factor of a FriedmannRobertsonWalker model and a scalar field with which the action of the model is augmented. It is shown that the minisuperspace of such a model is a two-dimensional manifold with a vanishing Ricci scalar. We present a coordinate transformation which cast the corresponding minisupermetric to a Minkowskian or Euclidean one according to the choices of an ordinary or phantom model for the scalar field. Then, the Noether symmetry of such a cosmological model is investigated by utilizing the behavior of the corresponding Lagrangian under the infinitesimal generators of the desired symmetry. We explicitly calculate the form of the scalar field potential functions for which such symmetries exist. For these potential functions, the exact classical and quantum solutions in the cases where the scalar field is an ordinary or a phantom one are presented and compared.
Url:
DOI: 10.1088/0264-9381/29/3/035015
Affiliations:
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The phase space variables turn out to correspond to the scale factor of a FriedmannRobertsonWalker model and a scalar field with which the action of the model is augmented. It is shown that the minisuperspace of such a model is a two-dimensional manifold with a vanishing Ricci scalar. We present a coordinate transformation which cast the corresponding minisupermetric to a Minkowskian or Euclidean one according to the choices of an ordinary or phantom model for the scalar field. Then, the Noether symmetry of such a cosmological model is investigated by utilizing the behavior of the corresponding Lagrangian under the infinitesimal generators of the desired symmetry. We explicitly calculate the form of the scalar field potential functions for which such symmetries exist. For these potential functions, the exact classical and quantum solutions in the cases where the scalar field is an ordinary or a phantom one are presented and compared.</div></front></TEI><affiliations><list><country><li>Iran</li></country></list><tree><country name="Iran"><noRegion><name sortKey="Vakili, Babak" sort="Vakili, Babak" uniqKey="Vakili B" first="Babak" last="Vakili">Babak Vakili</name></noRegion><name sortKey="Khazaie, Farhad" sort="Khazaie, Farhad" uniqKey="Khazaie F" first="Farhad" last="Khazaie">Farhad Khazaie</name><name sortKey="Vakili, Babak" sort="Vakili, Babak" uniqKey="Vakili B" first="Babak" last="Vakili">Babak Vakili</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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