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Dynamical stability of the k-essence field interacting nonminimally with a perfect fluid

2021/05/31 by Anirban Chatterjee, Saddam Hussain, Kaushik Bhattacharya
Engineering · Mathematics · Physics and Astronomy · #Adiabatic process #Algorithm #Applied mathematics #Attractor #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling (piping) #Engineering #Field (mathematics) #Galaxies: Formation, Evolution, Phenomena #Geometry #Inverse #Mathematical analysis #Mathematical physics #Mathematics #Mechanical engineering #Physics #Pure mathematics #Quantum mechanics #Scalar field #Thermodynamics #Universe #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.104.103505

published as Phys. Rev. D 104 2021 · Some figures are modified and some text changed. Has 27 pages, 10 figures. This version has been accepted for publication in Physical Review D

arxiv created 2021/10/14 · openalex publication_date 2021/11/10 · arxiv updated 2021/11/16 · openalex created_date 2021/11/22 · openalex updated_date 2026/08/05

Abstract

We study models of nonminimally coupled relativistic fluid and the k-essence scalar field in the background of a flat Friedmann-Lemaitre-Robertson-Walker universe. The nonminimal coupling term is introduced in the Lagrangian level. We employ the variational approach with respect to independent variables that produce modified k-essence field equations and the Friedmann equations. We have analyzed the coupled field-fluid framework explicitly using the dynamical system technique considering two different models based on inverse power-law potential. After examining these models it is seen that both models are capable of producing accelerating attractor solutions satisfying adiabatic sound speed conditions.

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