Late-time cosmological evolution of a general class of f(R, T) gravity with minimal curvature-matter coupling

Abstract

In this work, we study the late-time cosmological solutions of f(R,T)=g(R)+h(-T) models assuming that the conservation of the energy-momentum tensor (EMT) is violated. We perform our analysis through constructing an autonomous dynamical system for the equations of motion. We study the stability properties of solutions via considering linear perturbations about the related equilibrium points. These parameters which are constructed out of the functions g(R) and h(-T) play the main role in finding the late time behavior of the solutions.

28 pages, 4 figures

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• f(R,T) gravity
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• f(R,L_m) gravity
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• Matter may matter
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• Non-minimal curvature-matter couplings in modified gravity
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• A connection between Rastall-type and f(R, T) gravities
• A conservative energy-momentum tensor in the $f(R,T)$ gravity and its implications for the phenomenology of neutron stars
• Tolman IV fluid sphere in f(R, T) gravity
• A dynamical system representation of generalized Rastall gravity
• Reconstruction of $f(R,T)$ gravity model via the Raychaudhuri equation
• Interpretation of $f(\mathsf{R},\mathsf{T})$ gravity in terms of a conserved effective fluid
• Revisiting $f(R,T)$ cosmologies
• $\kappa (R,T)$ gravity
• Dynamics of quasi de Sitter and linear combination of exponential models in extended gravity
• Scale-Invariant Bounce Cosmology in Weyl f(Q) Gravity with Quintom Signature
• Late time cosmological solutions in $f(R,T)$ gravity in a viscous Universe