Dynamics of quintessence in generalized uncertainty principle
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Regular Article - Theoretical Physics
Dynamics of quintessence in generalized uncertainty principle Alex Giacomini1,a , Genly Leon2,b , Andronikos Paliathanasis1,3,c , Supriya Pan4,d 1
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, 5090000 Valdivia, Chile Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280, Antofagasta, Chile 3 Institute of Systems Science, Durban University of Technology, Durban 4000, South Africa 4 Department of Mathematics, Presidency University, 86/1 College Street, Kolkata 700073, India
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Received: 4 August 2020 / Accepted: 25 September 2020 © The Author(s) 2020
Abstract We investigate the quintessence scalar field model modified by the generalized uncertainty principle in the background of a spatially flat homogeneous and isotropic universe. By performing a dynamical system analysis we examine the nature of the critical points and their stability for two potentials, one is the exponential potential and the other is a general potential. In the case of an exponential potential, we find some new critical points for this modified quintessence scenario that describe the de Sitter universes, and these critical points do not appear in the standard quintessence model with an exponential potential. This is one of the main results of this work. Now for the general potential our analysis shows that the physical properties of the critical points remain exactly the same as for the exponential potential which means that within this modified quintessence scenario all kind of potentials have same behaviour. This kind of result is completely new in cosmology because with the change of the potential, differences are usually expected in all respect.
1 Introduction The amount of theoretical and observational results strongly suggest that our universe had undergone one accelerated phase of expansion during its very early phase of evolution, known as inflation [1,2], and presently it is again undergoing an accelerating phase of expansion, known as late time cosmic acceleration, dominated either by some hypothetical dark energy fluid adjusted in the Einstein’s General Relativity (GR) [3] or by some extra geometrical terms appearing due to modifications of GR or due to new gravitational theories a e-mail:
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[4,5]. So, one accelerating phase (inflation) occurred in the high energy regime and the second acceleration is occurring in the low energy regime. The difference of the energy scales between the early and late accelerating phases of the universe is significantly high. Therefore, understanding the evolution of the universe in both these regimes has been one of the longstanding issues in modern cosmology. Despite of many investigations performed in these sectors, the actual nature is still unrevealed. The unification of the gravitational theory both at classical and qua
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