Time-dependent diffusive interactions between dark matter and dark energy in the context of k-essence cosmology

Bandyopadhyay, Abhijit; Chatterjee, Anirban

doi:10.1088/1674-4527/21/1/2

Cited by 7 publications

(3 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Unification of inflation with dark energy and dark matter have been widely discussed [79,81,[132][133][134][135][136][137][138][139][140][141][142]. It is indeed challenging to describe both phases of acceleration using a single scalar field minimally couple to gravity, without affecting the thermal history of the universe which has been verified to a good accuracy.…”

Section: Arxiv:200204110v2 [Gr-qc] 21 Feb 2020mentioning

confidence: 99%

Dynamically Generated Inflationary ΛCDM

et al. 2020

View full text Add to dashboard Cite

Our primary objective is to construct a plausible unified model of inflation, dark energy and dark matter from a fundamental Lagrangian action first principle, where all fundamental ingredients are systematically dynamically generated starting from a very simple model of modified gravity interacting with a single scalar field employing the formalism of non-Riemannian spacetime volume-elements. The non-Riemannian volume element in the initial scalar field action leads to a hidden nonlinear Noether symmetry which produces energy-momentum tensor identified as a sum of a dynamically generated cosmological constant and a dust-like dark matter. The non-Riemannian volume-element in the initial Einstein-Hilbert action upon passage to the physical Einstein-frame creates dynamically a second scalar field with a non-trivial inflationary potential and with an additional interaction with the dynamically generated dark matter. The resulting Einstein-frame action describes a fully dynamically generated inflationary model coupled to dark matter. Numerical results for observables such as the scalar power spectral index and the tensor-to-scalar ratio conform to the latest 2018 PLANCK data.

show abstract

Section: Arxiv:200204110v2 [Gr-qc] 21 Feb 2020mentioning

confidence: 99%

Dynamically Generated Inflationary ΛCDM

et al. 2020

View full text Add to dashboard Cite

show abstract

“…One model category involves field-theoretic approaches to dark energy, modifying Einstein's field equations by introducing a scalar field as an additional Universe component, distinct from matter and radiation. This category includes quintessence [8][9][10][11][12][13][14][15][16] and k−essence [17][18][19][20][21][22][23][24][25][26][27][28][29] models. Another model class focuses on altering the geometric aspects of Einstein's equations, particularly the Einstein-Hilbert action, to address late-time cosmic acceleration.…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of coupled curvature-matter scenario in viable f(R) dark energy models at de Sitter phase

Chatterjee

2024

Class. Quantum Grav.

Self Cite

View full text Add to dashboard Cite

We explore the interaction between dark matter and curvature-driven dark energy within viable $f(R)$ gravity models, employing the phase-space analysis approach of linear stability theory. By incorporating an interacting term, denoted as $\mathcal{Q}=\alpha H \tilde{\rho}_{\rm m}\left(\frac{\kappa^2 }{3H^2}\rho_{\rm curv} + 1 \right)$, into the continuity equations of both sectors, we examine dynamics of two $f(R)$ gravity models that adhere to local gravity constraints and fulfill cosmological viability criteria. In de-sitter phase, our investigation reveals modifications of critical points compared to the conventional form, attributed to the introduced interaction. Through a comprehensive phase-space analysis, we illustrate the trajectories near critical points and outline the constraints on the phase space based on cosmological and cosmographic parameters. Furthermore, we can also observe stable behavior of this interacting system during the de Sitter phase of the universe.

show abstract

“…The second kind of models, as widely discussed in literature, includes the Quintessence [17,18,19,20,21,22,23,24,25] and k-essence models [26,27,28,29,30,31,32,33]. A sub-class of such models involves consideration of interaction between DE and DM [34,35,36,37,38,39,40,41,42,43] to explain the present-day observed features of cosmic expansion. We have considered such a model in the context of this paper.…”

Section: Introductionmentioning

confidence: 99%

Modified scaling in $k$-essence model in interacting dark energy - dark matter scenario

Chatterjee,

Jana,

Bandyopadhyay

2022

Preprint

Self Cite

View full text Add to dashboard Cite

It has been shown by Scherrer and Putter et.al. in [1,2] that, when dynamics of dark energy is driven by a homogeneous k−essence scalar field φ, with a Lagrangian of the form L = V 0 F (X) with a constant potential V 0 and X = 1 2 ∇ µ φ∇ µ φ = 1 2 φ2 , one obtains a scaling relation X(dF/dX) 2 = Ca −6 , where C is a constant and a is the FRW scale factor of the universe. The separate energy conservation in the dark energy sector and the constancy of k−essence potential are instrumental in obtaining such a scaling. In this paper we have shown that, even when considering time-dependent interactions between dark energy and dark matter, the constancy of k−essence potential may lead to a modified form of scaling.We have obtained such a scaling relation for a particular class of parametrisation of the source term occurring in the continuity equation of dark energy and dark matter in the interacting scenario. We used inputs from the JLA analysis of luminosity distance and redshift data from Supernova Ia observations, to obtain the modified form of the scaling.

show abstract

Time-dependent diffusive interactions between dark matter and dark energy in the context of k-essence cosmology

Cited by 7 publications

References 50 publications

Dynamically Generated Inflationary ΛCDM

Dynamically Generated Inflationary ΛCDM

Dynamical analysis of coupled curvature-matter scenario in viable f(R) dark energy models at de Sitter phase

Modified scaling in $k$-essence model in interacting dark energy - dark matter scenario

Contact Info

Product

Resources

About