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Inhomogeneous barotropic FRW cosmologies with constant-shifted conformal hubble parameters
HARET CODRATIAN ROSU
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1142/S0217732313400178
Barotropic FRW cosmologies
Cosmological zero-modes
Shifted Riccati procedure
Factorization
"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."
World Scientific Publishing Company
2013
Artículo
Inglés
Público en general
HARET C. ROSU and KIRA V. KHMELNYTSKAYA, Mod. Phys. Lett. A 28, 1340017 (2013)
FÍSICA
Versión aceptada
acceptedVersion - Versión aceptada
Aparece en las colecciones: Publicaciones Científicas Nanociencias y Materiales

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