Ghost-Free $F(R)$ Gravity with Lagrange Multiplier Constraint

Abstract

We propose two new versions of ghost-free generalized $F(R)$ gravity with Lagrange multiplier constraint. The first version of such theory for a particular degenerate choice of the Lagrange multiplier, corresponds to mimetic $F(R)$ gravity. The second version of such theory is just the Jordan frame description of mimetic gravity with potential. As we demonstrate, it is possible to realize several cosmological scenarios in such theory. In particulary, de Sitter solutions may also be found.

PLB Accepted

References in corpus (6)

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• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Dynamical behavior in mimetic F(R) gravity
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Cited by in corpus (7)

• Limits on $f(R,T)$ Gravity from Earth's Atmosphere
• Dynamics and cosmological evolution in Λ-varying cosmology
• Non-singular Bounce Cosmology from Lagrange Multiplier $F(R)$ Gravity
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Viable non-singular cosmic bounce in holonomy improved F(R) gravity endowed with a Lagrange multiplier
• Isotropic stellar model in mimetic theory