Dynamical analysis of the cosmology of mass-varying massive gravity

Abstract

We study cosmological evolutions of the generalized model of nonlinear massive gravity in which the graviton mass is given by a rolling scalar field and is varying along time. By performing dynamical analysis, we derive the critical points of this system and study their stabilities. These critical points can be classified into two categories depending on whether they are identical with the traditional ones obtained in General Relativity. We discuss the cosmological implication of relevant critical points.

16 pages

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• Cosmological Perturbations in Extended Massive Gravity
• Linear growth of structure in massive bigravity
• Generalized quasi-dilaton theory
• On the possibility of blue tensor spectrum within single field inflation
• Stable FLRW solutions in Generalized Massive Gravity
• $F(R)$ nonlinear massive theories of gravity and their cosmological implications
• Cosmology of F(R) nonlinear massive gravity
• Generalized massive gravity in arbitrary dimensions and its Hamiltonian formulation
• Curvature perturbations of quasidilaton non-linear massive gravity
• Cutoff for Extensions of Massive Gravity and Bi-Gravity
• $f(T)$ non-linear massive gravity and the cosmic acceleration
• Coleman-de Luccia instanton in dRGT massive gravity
• Mass-Varying Massive Gravity with k-essence
• Cosmological model due to dimensional reduction of higher-dimensional massive gravity theory
• Cosmological evolutions of $F(R)$ nonlinear massive gravity
• Higher-Dimensional Minimal Theory of Mass-Varying Massive Gravity And Its Cosmological Consequences