Dynamical system approach of interacting dark energy models in f(R,T^(φ))gravity  

作　　者：Amit Samaddar S Surendra Singh Shah Muhammad Euaggelos E Zotos 

机构地区：[1]Department of Mathematics,National Institute of Technology Manipur,Imphal 795004,India [2]Department of Mathematics,College of Science,King Saud University,P.O.Box 2455,Riyadh 11451,Saudi Arabia [3]Department of Physics,School of Science,Aristotle University of Thessaloniki,GR-54124,Thessaloniki,Greece [4]S.M.Nikolskii Mathematical Institute of the Peoples'Friendship University of Russia(RUDN University),Moscow 117198,Russia

出　　处：《Communications in Theoretical Physics》2025年第4期117-128,共12页理论物理通讯(英文版)

基　　金：funded by Researchers Supporting Project No.RSPD2025R733,King Saud University,Riyadh,Saudi Arabia。

摘　　要：We have examined an isotropic and homogeneous cosmological model in f(R,T^(φ))gravity,where R represents the Ricci scalar and T^(φ)exhibits the energy momentum tensor's trace.We examine the stability criteria by performing the dynamical system analysis for our model f(R,T^(φ))=R+2(a T^(φ)+b),where a and b are the constants.We derive a set of autonomous equations and find their solutions by assuming a flat potential V0.We assess the equilibrium points from these equations and find the eigenvalues.We analyze the physical interpretation of the phase space for this system.We obtain three stable equilibrium points.We also examine the interaction between the scalar field and dark energy,represented by Q=ψH_(ρde)and determine the equilibrium points for this interaction.We identify four stable equilibrium points for this interaction.We calculate the values of the physical parameters for both scenarios at each equilibrium point,indicating the Universe's accelerated expansion.

关 键 词：f(R T^(φ))gravity field equations phase space analysis interaction 

分 类 号：O412.1[理学—理论物理]