https://doi.org/10.1140/epjc/s10052-021-09362-8
Regular Article - Theoretical Physics
Interacting quintessence in light of generalized uncertainty principle: cosmological perturbations and dynamics
1
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
Received:
13
April
2021
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
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
