Effective loop quantum cosmology as a higher-derivative scalar-tensor theory

Abstract

Recently, Chamseddine and Mukhanov introduced a higher-derivative scalar-tensor theory which leads to a modified Friedmann equation allowing for bouncing solutions. As we note in the present work, this Friedmann equation turns out to reproduce exactly the loop quantum cosmology effective dynamics for a flat isotropic and homogeneous space-time. We generalize this result to obtain a class of scalar-tensor theories, belonging to the family of mimetic gravity, which all reproduce the loop quantum cosmology effective dynamics for flat, closed and open isotropic and homogeneous space-times.

22 pages. v2: minor clarifications added, references updated

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Cited by in corpus (42)

• Quantum Oppenheimer-Snyder and Swiss Cheese models
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Critical evaluation of common claims in loop quantum cosmology
• Mimetic gravity as DHOST theories
• Hairy black holes in DHOST theories: Exploring disformal transformation as a solution-generating method
• Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective
• Higher Derivative Mimetic Gravity
• A no-go result for covariance in models of loop quantum gravity
• Mimetic Black Holes
• Cuscuton gravity as a classically stable limiting curvature theory
• Non-Gaussianity in Loop Quantum Cosmology
• On singularity-resolution in mimetic gravity
• On the canonical structure of general relativity with a limiting curvature and its relation to loop quantum gravity
• Covariance in self dual inhomogeneous models of effective quantum geometry: Spherical symmetry and Gowdy systems
• Non-covariance of the dressed-metric approach in loop quantum cosmology
• Anomalies in the CMB from a cosmic bounce
• Limiting curvature mimetic gravity and its relation to Loop Quantum Cosmology
• The singularity in mimetic Kantowski-Sachs cosmology
• A generalized Kasner transition for bouncing Bianchi I models in modified gravity theories
• Predictions for the CMB from an anisotropic quantum bounce
• Observational consequences of Bianchi I spacetimes in loop quantum cosmology
• Two-field mimetic gravity revisited and Hamiltonian analysis
• Is limiting curvature mimetic gravity an effective polymer quantum gravity?
• Disforming to Conformal Symmetry
• Reconstruction of mimetic gravity in a non-singular bouncing universe from quantum gravity
• Limiting curvature mimetic gravity for group field theory condensates
• Bouncing cosmology in $f(R,\mathcal{G})$ gravity by order reduction
• Loop quantum gravity, signature change, and the no-boundary proposal
• Bouncing cosmologies via modified gravity in the ADM formalism: Application to Loop Quantum Cosmology
• Effective Field Theory of Loop Quantum Cosmology
• Theories with limited extrinsic curvature and a nonsingular anisotropic universe
• The Dapor-Liegener model of Loop Quantum Cosmology: A dynamical analysis
• Inequivalence of mimetic gravity with models of loop quantum gravity
• Cosmological perturbations in a class of fully covariant modified theories: Application to models with the same background as standard LQC
• Note on bouncing backgrounds
• A note on non singular Einstein-Aether cosmologies
• Physical Hamiltonian for mimetic gravity
• Extensions of two-field mimetic gravity
• Mimetic gravity: mimicking the dynamics of the primeval universe in the context of loop quantum cosmology
• Holographic Signatures of Resolved Cosmological Singularities II: Numerical Investigations
• Matter production effects and interacting scenario within a reconstructed mimetic cosmology for late times
• Isotropic LQC and LQC--inspired Models with a massless scalar field as Generalised Brans--Dicke theories