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.

arXiv commentPLB Accepted

References in corpus (26)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• BICEP2 / Keck Array VI: Improved Constraints On Cosmology and Foregrounds When Adding 95 GHz Data From Keck Array
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• On the recently proposed Mimetic Dark Matter
• Static spherically symmetric solutions in mimetic gravity: rotation curves & wormholes
• A bird's eye view of f(R)-gravity
• Dynamical behavior in mimetic F(R) gravity
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Cosmological viable Mimetic $f(R)$ and $f(R,T)$ theories via Noether symmetry
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Accelerating Cosmology and Phase Structure of F(R) Gravity with Lagrange Multiplier Constraint: Mimetic Approach
• Cosmological perturbations in mimetic matter model
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• NEC violation in mimetic cosmology revisited
• On (in)stabilities of perturbations in mimetic models with higher derivatives
• Unimodular-Mimetic Cosmology
• Healthy imperfect dark matter from effective theory of mimetic cosmological perturbations
• Braneworld Mimetic Cosmology
• Unimodular Mimetic $F(R)$ Inflation
• A Note on Schwarzschild de Sitter Black Holes in Mimetic $F(R)$ Gravity
• Mimetic $F(R)$ inflation confronted with Planck and BICEP2/Keck Array data
• Aspects of Late-time Evolution in Mimetic $F(R)$ Gravity

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• Alive and well: mimetic gravity and a higher-order extension in light of GW170817
• Mimicking dark matter and dark energy in a mimetic model compatible with GW170817
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• Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity
• The Reconstruction of $f(\varphi )R$ and Mimetic Gravity from Viable Slow-roll Inflation
• Dynamics and cosmological evolution in Λ-varying cosmology
• Non-polynomial Lagrangian approach to Regular Black Holes
• Gauge invariant formulation of gravitational waves in metric $f(R)$ gravity
• Non-singular Bounce Cosmology from Lagrange Multiplier $F(R)$ Gravity
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Limiting curvature mimetic gravity and its relation to Loop Quantum Cosmology
• The key role of Lagrangian multiplier in mimetic gravitational theory in the frame of isotropic compact star
• Cosmological Evolution of Two-Scalar fields Cosmology in the Jordan frame
• Mimetic gravity in $(2+1)$-dimensions
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Mimetic Black Strings
• Mimetic Inflation
• Conservation laws and Exact Solutions in Brans-Dicke Cosmology with a Scalar Field
• New anisotropic star solutions in mimetic gravity
• Topological black holes in mimetic gravity
• Structure formation in mimetic gravity
• Viable non-singular cosmic bounce in holonomy improved F(R) gravity endowed with a Lagrange multiplier
• Dynamic properties of cyclic cosmologies
• About the Cauchy problem in Stelle's quadratic gravity
• New conservation laws and exact cosmological solutions in Brans-Dicke cosmology with an extra scalar field
• Multi-field Mimetic Gravity
• Black branes in four-dimensional conformal equivalent theories
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Cosmological perturbations in a class of fully covariant modified theories: Application to models with the same background as standard LQC
• Big Bang Nucleosynthesis constraints on the cosmological evolution in a Universe with a Weylian Boundary
• Radion tunneling in modified theories of gravity
• Hamiltonian Formulation of Ghost Free Mimetic Massive Gravity
• Isotropic stellar model in mimetic theory
• Mimetic-$f(Q)$ gravity: cosmic reconstruction and energy conditions
• Higher dimensional charged static and rotating solutions in mimetic gravity
• Mimetic Weyl geometric gravity
• Classical and Quantum cosmology for two scalar field Brans-Dicke type theory: A Noether Symmetry approach
• Noether currents in theories with higher derivatives and theories with differential field transformation in action (DFTA)