Algebraic Solutions in Scalar Field Cosmology: Reconstruction of the Dark-Energy Equation of State and the Inflationary Potential †
1
Instituto de Ciencias Fisicas y Matematicas, Universidad Austral de Chile, Valdivia 5090000, Chile
2
Instituto of Systems Science, Durban University of Technology, PO Box 1334, Durban 4000, South Africa
†
Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017.
Proceedings 2018, 2(1), 23; https://doi.org/10.3390/proceedings2010023
Published: 4 January 2018
(This article belongs to the Proceedings of The First International Conference on Symmetry)
An algebraic solution for arbitrary potential is presented in the context of scalar field cosmological models. That result is used to generate new solutions of the scalar field equations in homogeneous and isotropic universes. A series of generalizations of the Chaplygin gas and bulk viscous cosmological solutions for inflationary universes are found. Finally, we show how the Hubble slow-roll parameters can be calculated using the solution algorithm and we compare these inflationary solutions with the observational data provided by the Planck 2015 collaboration to constraint and rule out some of these models.
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MDPI and ACS Style
Paliathanasis, A. Algebraic Solutions in Scalar Field Cosmology: Reconstruction of the Dark-Energy Equation of State and the Inflationary Potential. Proceedings 2018, 2, 23. https://doi.org/10.3390/proceedings2010023
AMA Style
Paliathanasis A. Algebraic Solutions in Scalar Field Cosmology: Reconstruction of the Dark-Energy Equation of State and the Inflationary Potential. Proceedings. 2018; 2(1):23. https://doi.org/10.3390/proceedings2010023
Chicago/Turabian StylePaliathanasis, Andronikos. 2018. "Algebraic Solutions in Scalar Field Cosmology: Reconstruction of the Dark-Energy Equation of State and the Inflationary Potential" Proceedings 2, no. 1: 23. https://doi.org/10.3390/proceedings2010023
