Regular Article - Theoretical Physics
Interacting quintessence in light of generalized uncertainty principle: cosmological perturbations and dynamics
Institute of Systems Science, Durban University of Technology, 4000, Durban, South Africa
2 Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile
3 Departamento de Matemáticas, Universidad Católica del Norte, Casilla 1280, Avda. Angamos 0610, Antofagasta, Chile
4 Department of Mathematics, North-Eastern Hill University, 793022, Shillong, Meghalaya, India
5 Department of Mathematics, St. Anthony’s College, 793001, Shillong, Meghalaya, India
6 Mathematics Division, Department of Basic Sciences and Social Sciences, North-Eastern Hill University, 793022, Shillong, Meghalaya, India
7 Inter University Centre for Astronomy and Astrophysics, 411 007, Pune, India
8 Department of Mathematics, Presidency University, 86/1 College Street, 700073, Kolkata, India
Accepted: 20 June 2021
Published online: 13 July 2021
We consider a cosmological scenario endowed with an interaction between the universe’s dark components – dark matter and dark energy. Specifically, we assume the dark matter component to be a pressure-less fluid, while the dark energy component is a quintessence scalar field with Lagrangian function modified by the quadratic Generalized Uncertainty Principle. The latter modification introduces new higher-order terms of fourth-derivative due to quantum corrections in the scalar field’s equation of motion. Then, we investigate asymptotic dynamics and general behaviour of solutions of the field equations for some interacting models of special interests in the literature. At the background level, the present interacting model exhibits the matter-dominated and de Sitter solutions which are absent in the corresponding quintessence model. Furthermore, to boost the background analysis, we study cosmological linear perturbations in the Newtonian gauge where we show how perturbations are modified by quantum corrected terms from the quadratic Generalized Uncertainty Principle. Depending on the coupling parameters, scalar perturbations show a wide range of behavior.
© The Author(s) 2021
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