Dynamical analysis of modified gravity with nonminimal gravitational coupling to matter

Abstract

We perform a phase space analysis of a generalized modified gravity theory with nonminimally coupling between geometry and matter. We apply the dynamical system approach to this generalized model and find that in the cosmological context, different choices of Lagrangian density will apparently result in different phases of the Universe. By carefully choosing the variables, we prove that there is an attractor solution to describe the late time accelerating universe when the modified gravity is chosen in a simple power-law form of the curvature scalar. We further examine the temperature evolution based on the thermodynamic understanding of the model. Confronting the model with supernova type Ia data sets, we find that the nonminimally coupled theory of gravity is a viable model to describe the late time Universe acceleration.

18 pages, 3 figures

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Cited by in corpus (8)

• Teleparallel Gravity: From Theory to Cosmology
• Dynamical systems applied to cosmology: dark energy and modified gravity
• To conserve, or not to conserve: A review of nonconservative theories of gravity
• Generalised nonminimally gravity-matter coupled theory
• Nonminimal global monopole
• More on Emergent Dark Energy from Unparticles
• Cosmological dynamics of interacting dark energy and dark matter in $f(Q)$ gravity
• Dynamical behavior of the Universe: an entropic force scenario