Bouncing cosmologies in massive gravity on de Sitter

Abstract

In the framework of massive gravity with a de Sitter reference metric, we study homogeneous and isotropic solutions with positive spatial curvature. Remarkably, we find that bounces can occur when cosmological matter satisfies the strong energy condition, in contrast to what happens in classical general relativity. This is due to the presence in the Friedmann equations of additional terms, which depend on the scale factor and its derivatives and can be interpreted as an effective fluid. We present a detailed study of the system using a phase space analysis. After having identified the fixed points of the system and investigated their stability properties, we discuss the cosmological evolution in the global physical phase space. We find that bouncing solutions

14 pages, 8 figures

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• Seeing through the cosmological bounce: Footprints of the contracting phase and luminosity distance in bouncing models
• Cosmological model due to dimensional reduction of higher-dimensional massive gravity theory
• Perturbations of Cosmological and Black Hole Solutions in Massive gravity and Bi-gravity
• Cosmological evolutions of $F(R)$ nonlinear massive gravity