Abstract

We propose a novel coupled dark energy model which is assumed to occur as aq-deformed scalar field and investigate whether it will provide an expanding universe phase. We consider theq-deformed dark energy as coupled to dark matter inhomogeneities. We perform the phase-space analysis of the model by numerical methods and find the late-time accelerated attractor solutions. The attractor solutions imply that the coupledq-deformed dark energy model is consistent with the conventional dark energy models satisfying an acceleration phase of universe. At the end, we compare the cosmological parameters of deformed and standard dark energy models and interpret the implications.

Highlights

  • The standard model of cosmology states that approximately 5% of the energy content of the universe belongs to ordinary baryonic matter of standard model of particle physics

  • We propose a novel dark energy model as a q-deformed scalar field interacting with the dark matter

  • Since it is known that the dark energy has a negative pressure acting as gravitational repulsion to drive the accelerated expansion of the universe, we are motivated to propose that the dark energy consists of negative-pressure q-deformed scalar field whose field equation is defined by the q annihilation and creation operators satisfying the q-deformed boson algebra in (17)–(20)

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Summary

Introduction

The standard model of cosmology states that approximately 5% of the energy content of the universe belongs to ordinary baryonic matter of standard model of particle physics. In order to explain the viable mechanism for the accelerated expansion of the universe, cosmologists have proposed various dynamical models for dark energy and dark matter, which include possible interactions between dark energy, dark matter, and other fields, such as gravitation. Since there are a great number of candidates for the constitution of the dark energy, such as cosmological constant, quintessence, phantom, and tachyon fields, different interactions have been proposed between these constituents, dark matter, and gravitational field in the framework of general relativity [19–29]. We propose a novel dark energy model as a q-deformed scalar field interacting with the dark matter. We consider the qdeformed bosons and propose that the scalar field which is produced by these deformed bosons constitutes the dark energy in the universe. We compare the cosmological parameters of the qdeformed and standard dark energy model and interpret the implications of the comparison

Dynamics of the Model
Phase-Space Analysis
Findings
Conclusion
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