Cosmological viable f(R,T) dark energy model: dynamics and stability

Abstract

In this paper we undertake the modified theory of gravity f(R,T) where R and T are the Ricci scalar and the trace of the energy momentum tensor, respectively. Imposing the conservation of the energy momentum tensor, we obtain a model about what dynamics and stability are studied. The stability is developed using the de Sitter and power-law solutions. The results show that the model presents stability for both the de Sitter and power-law solutions. Regarding the dynamics, cosmological solutions are obtained by integrating the background equations for both the low-redshift and High-redshift regimes and are consistent with the observational data.

15 pages, 4 figues

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• Late-time cosmological evolution of a general class of f(R, T) gravity with minimal curvature-matter coupling
• Fully conservative $f(R,T)$ gravity and Solar System constraints
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• Unimodular $f(G)$ gravity
• Bounds on Higher Derivative $f(R,\square R,T)$ Models from Energy Conditions
• Cosmological determination to the values of the prefactors in the logarithmic corrected entropy-area relation
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Metric Variation of the Energy-Momentum Tensor of a Perfect Fluid and Its Applications to Cosmology and Neutron Stars