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Inhomogeneous barotropic FRW cosmologies with constant-shifted conformal hubble parameters

dc.contributor.authorRosu Barbus, Haret-Codratian
dc.contributor.authorKhmelnytskaya, Kira V.
dc.contributor.editorWorld Scientific Publishing Company
dc.date.accessioned2018-03-21T23:42:32Z
dc.date.available2018-03-21T23:42:32Z
dc.date.issued2013
dc.identifier.citationHARET C. ROSU and KIRA V. KHMELNYTSKAYA, Mod. Phys. Lett. A 28, 1340017 (2013)
dc.identifier.urihttp://hdl.handle.net/11627/3507
dc.description.abstract"It is known that the barotropic FRW system of differential equations for zero cosmological constant can be reduced to simple harmonic oscillator (HO) differential equations in the conformal time variable. This is due to the fact that the Hubble rate parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. In previous works, we have used this mathematical result to set the barotropic HO equations in the nonrelativistic supersymmetric approach by factorizing them. If a constant additive parameter, denoted by S, is added to the common Riccati solution of these supersymmetric partner cosmologies one obtains inhomogeneous barotropic cosmologies with periodic singularities in their spatial curvature indices that are counterparts of the non-shifted supersymmetric partners. The zero-mode solutions of these cyclic singular cosmologies are reviewed here as a function of real and imaginary shift parameter. We also notice the modulated zero modes obtained by using the general Riccati solution and comment on their cosmological application."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectBarotropic FRW cosmologies
dc.subjectCosmological zero-modes
dc.subjectShifted Riccati procedure
dc.subjectFactorization
dc.subject.classificationFÍSICA
dc.titleInhomogeneous barotropic FRW cosmologies with constant-shifted conformal hubble parameters
dc.typearticle
dc.identifier.doihttps://doi.org/10.1142/S0217732313400178
dc.rights.accessAcceso Abierto


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