Restricted f(R) Gravity and Its Cosmological Implications

Abstract

We investigate the f(R) theory of gravity with broken diffeomorphism due to the change of the coefficient in front of the total divergence term in the (3+1)-decomposition of the scalar curvature. We perform the canonical analysis of this theory and show that its consistent, i.e. with no unphysical degrees of freedom, form is equivalent to the low-energy limit of the non-projectable f(R) Horava-Lifshitz theory of gravity. We also analyze its cosmological solutions and show that the de Sitter solution can be obtained also in the case of this broken symmetry. The consequences of the proposed theory on the asymptotic solutions of a few specific models in the cosmological context are also presented.

22 pages, v2:minor corrections, figure added, v3:version published in PRD

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Cited by in corpus (5)

• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Recovering a MOND-like acceleration law in mimetic gravity
• F(R) gravity's rainbow and its Einstein counterpart
• FLRW Cosmology with Horava-Lifshitz Gravity: Impacts of Equations of State
• Cosmological Perturbations in Restricted f(R)-Gravity