Abstract
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.
Highlights
The Interacting DE (IDE) theory which was formally proposed by Amendola [3] received tremendous attention in the scientific community for its ability to offer a possible explanation to the cosmic coincidence problem [4,5,6,7,8,9,10] where a direct interaction between dark matter (DM) and dark energy (DE) can play the game
Amongst many attractive cosmological models, in this article, we focus on a very generalized cosmological theory where DM and DE are freely allowed to interact with one other, known as Interacting DE (IDE) or coupled DE
We extended the previous work [34] by allowing an interaction between the generalized uncertainty principle (GUP) modified quintessence scalar field and the pressure-less DM to examine the dynamical features of this generalized cosmic scenario
Summary
The IDE theory which was formally proposed by Amendola [3] received tremendous attention in the scientific community for its ability to offer a possible explanation to the cosmic coincidence problem [4,5,6,7,8,9,10] where a direct interaction between DM and DE (in a non-gravitational way) can play the game. It is always very appealing to encounter the new physical theories modified by the GUP’s inclusion to understand the minimum length scale effects in the late Universe physics Following this motivation, the authors of [34] first investigated the dynamics of the GUP modified quintessence scalar field with two different potentials; one is exponential, and the other is an arbitrary. We study the dynamics of scalar perturbations during the matterdominated era, where the effect of GUP might imprint exciting features during the growth of structure Such analysis is crucial to identify specific signatures of the interacting scalar field theories in the light of GUP to look for by cosmological observations.
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