Quantum-Reduced Loop Gravity: Cosmology

Abstract

We introduce a new framework for loop quantum gravity: mimicking the spinfoam quantization procedure we propose to study the symmetric sectors of the theory imposing the reduction weakly on the full kinematical Hilbert space of the canonical theory. As a first application of Quantum-Reduced Loop Gravity we study the inhomogeneous Bianchi I model. The emerging quantum cosmological model represents a simplified arena on which the complete canonical quantization program can be tested. The achievements of this analysis could elucidate the relationship between Loop Quantum Cosmology and the full theory.

26 pages, typo corrected in eq.(114)

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Cited by in corpus (65)

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• A Homogeneous Model of Spinfoam Cosmology
• 2-vertex Lorentzian Spin Foam Amplitudes for Dipole Transitions
• Scalar spectra of primordial perturbations in loop quantum cosmology
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• Higher dimensional Loop Quantum Cosmology
• Phenomenology of Quantum Reduced Loop Gravity in the isotropic cosmological sector
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• Loop quantum cosmology in 2+1 dimension
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• Dynamics in canonical models of loop quantum gravity
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• Bianchi I effective dynamics in Quantum Reduced Loop Gravity
• Scalar curvature operator for quantum-reduced loop gravity
• Critical Insight into the Cosmological Sector of Loop Quantum Gravity
• Orthogonal gauge fixing of first order gravity
• Loop quantum cosmology and its gauge-covariant avatar: a weak curvature relationship
• Master constraint approach to quantum-reduced loop gravity
• Homogeneous-isotropic sector of loop quantum gravity: new approach
• Effective LQC model for k=+1 isotropic cosmologies from spatial discretisations
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• Regularization of the cosmological sector of loop quantum gravity with bosonic matter and the related problems with general covariance of quantum corrections
• First-post-Newtonian generation of gravitational waves in Einstein-Cartan theory
• On the dynamics of single-vertex states in quantum-reduced loop gravity
• Big-Bounce in Quantum f(R)-Cosmology: Polymer Dynamics with Internal Time
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