Cosmology of the proxy theory to massive gravity

Abstract

In this paper, we scrutinize very closely the cosmology in the proxy theory to massive gravity obtained in Phys. Rev. D84 (2011) 043503. This proxy theory was constructed by covariantizing the decoupling limit Lagrangian of massive gravity and represents a subclass of Horndeski scalar-tensor theory. Thus, this covariantization unifies two important classes of modified gravity theories, namely massive gravity and Horndeski theories. We go beyond the regime which was studied in Phys. Rev. D84 (2011) 043503 and show that the theory does not admit any homogeneous and isotropic self-accelerated solutions. We illustrate that the only attractor solution is flat Minkowski solution, hence this theory is less appealing as a dark energy model. We also show that the absence of de Sitter solutions is tightly related to the presence of shift symmetry breaking interactions.

23 pages, 5 figures, references added

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Cited by in corpus (23)

• Beyond the Cosmological Standard Model
• Horndeski theory and beyond: a review
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• van der Waals like behaviour of topological AdS black holes in massive gravity
• On couplings to matter in massive (bi-)gravity
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Horndeski theories self-tuning to a de Sitter vacuum
• Cosmology in bimetric theory with an effective composite coupling to matter
• Dark Matter via Massive (bi-)Gravity
• Cosmological perturbations in massive gravity with doubly coupled matter
• Quantum corrections in massive bigravity and new effective composite metrics
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• Anisotropic cosmological solutions in massive vector theories
• Some remarks about non-minimally coupled scalar field models
• Quantum Corrections in Galileons from Matter Loops
• Revisiting perturbations in extended quasidilaton massive gravity
• Observed galaxy power spectrum in cubic Galileon model
• Higher Order Lagrangians inspired by the Pais-Uhlenbeck Oscillator and their cosmological applications
• Absence of solid angle deficit singularities in beyond-generalized Proca theories
• Global structure of Black Holes via dynamical system
• Structure of $3D$ gravastars in the context of massive gravity
• Accelerated expansion of the Universe a la the Stueckelberg mechanism
• Implications of the primordial anisotropy for a scalar field with non-minimal kinetic coupling