Show simple item record

Classical and quantum solutions in Brans-Dicke cosmology with a perfect fluid

dc.creatorPaliathanasis, Andronikos
dc.creatorTsamparlis, Michael
dc.creatorBasilakos, Spyros
dc.creatorBarrow, John David
dc.date.accessioned2018-11-24T23:18:33Z
dc.date.available2016-02-01T16:45:41Z
dc.date.available2018-11-24T23:18:33Z
dc.date.issued2016
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/253577
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3301
dc.description.abstractWe consider the application of group invariant transformations in order to constrain a flat isotropic and homogeneous cosmological model, containing of a Brans-Dicke scalar field and a perfect fluid with a constant equation of state parameter w, where the latter is not interacting with the scalar field in the gravitational action integral. The requirement that the Wheeler-DeWitt equation be invariant under one-parameter point transformations provides us with two families of power-law potentials for the Brans-Dicke field, in which the powers are functions of the Brans-Dicke parameter wBD and the parameter w. The existence of the Lie symmetry in the Wheeler-DeWitt equation is equivalent to the existence of a conserved quantity in field equations and with oscillatory terms in the wavefunction of the universe. This enables us to solve the field equations. For a specific value of the conserved quantity, we find a closed-form solution for the Hubble factor, which is equivalent to a cosmological model in general relativity containing two perfect fluids. This provides us with different models for specific values of the parameters wBD, and w. Finally, the results hold for the specific case where the Brans-Dicke parameter wBD is zero, that is, for the O'Hanlon massive dilaton theory, and consequently for f( R) gravity in the metric formalism.
dc.languageen
dc.publisherAmerican Physical Society
dc.publisherPhysical Review D
dc.rightshttp://creativecommons.org/licenses/by-nc/2.0/uk/
dc.rightsAttribution-NonCommercial 2.0 UK: England & Wales
dc.subjectCosmology
dc.subjectBrans-Dicke
dc.subjectWheeler-DeWitt
dc.subjectgroup invariant transformations
dc.titleClassical and quantum solutions in Brans-Dicke cosmology with a perfect fluid
dc.typeArticle


Files in this item

FilesSizeFormatView
Paliathanasis et al 2016 Physical Review D.pdf509.8Kbapplication/pdfView/Open

This item appears in the following Collection(s)

Show simple item record