Modified FRW cosmologies arising from states of the hybrid quantum Gowdy model

Abstract

We construct approximate solutions of the hybrid quantum Gowdy cosmology with three-torus topology, linear polarization, and local rotational symmetry, in the presence of a massless scalar field. More specifically, we determine some families of states for which the complicated inhomogeneous and anisotropic Hamiltonian constraint operator of the Gowdy model is approximated by a much simpler one. Our quantum states follow the dynamics governed by this simpler constraint, while being at the same time also approximate solutions of the full Gowdy model. This is so thanks to the quantum correlations that the considered states present between the isotropic and anisotropic sectors of the model. Remarkably, this simpler constraint can be regarded as that of a flat Friedmann-Robertson-Walker universe filled with different kinds of perfect fluids and geometrically corrected by homogeneous and isotropic curvature-like terms. Therefore, our quantum states, which are intrinsically inhomogeneous, admit approximate homogeneous and isotropic effective descriptions similar to those considered in modified theories of gravity.

Version accepted for publication in PRD

References in corpus (26)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
• Are loop quantum cosmos never singular?
• Anomaly freedom in perturbative loop quantum gravity
• Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
• Hybrid quantization of an inflationary universe
• Loop Quantization of Vacuum Bianchi I Cosmology
• Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
• Gauge-Invariant Perturbations in Hybrid Quantum Cosmology
• Inhomogeneous Loop Quantum Cosmology: Hybrid Quantization of the Gowdy Model
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• Cosmological perturbations in Hybrid Loop Quantum Cosmology: Mukhanov-Sasaki variables
• Quantum gravitational Kasner transitions in Bianchi-I spacetime
• Hybrid Quantum Cosmology: Combining Loop and Fock Quantizations
• Kantowski-Sachs spacetime in loop quantum cosmology: bounds on expansion and shear scalars and the viability of quantization
• Quantum Gowdy $T^3$ model: A uniqueness result
• Uniqueness of the Fock quantization of the Gowdy $T^3$ model
• A Brief Introduction to Loop Quantum Cosmology
• Matter in inhomogeneous loop quantum cosmology: the Gowdy $T^3$ model
• Quantum Gowdy $T^3$ Model: Schrodinger Representation with Unitary Dynamics
• Loop quantum cosmology from group field theory
• Uniqueness of the Fock representation of the Gowdy $S^1\times S^2$ and $S^3$ models
• Loop Quantum Cosmology from Loop Quantum Gravity
• Modeling effective FRW cosmologies with perfect fluids from states of the hybrid quantum Gowdy model

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• Hybrid Loop Quantum Cosmology: An Overview
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• Hybrid Models in Loop Quantum Cosmology
• Some conceptual issues in loop quantum cosmology
• Loop quantization of the Gowdy model with local rotational symmetry
• The Universe as an Oscillator
• Fermions in Hybrid Loop Quantum Cosmology
• Cosmic tango between the very small and the very large: Addressing CMB anomalies through Loop Quantum Cosmology
• Space-like Singularities of General Relativity: A Phantom menace?
• Inflation from inhomogeneous polarized Gowdy model