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Gauge invariance in Loop Quantum Cosmology : Hamilton-Jacobi and Mukhanov-Sasaki equations for scalar perturbations

Abstract : Gauge invariance of scalar perturbations is studied together with the associated equations of motion. Extending methods developed in the framework of hamiltonian General Relativity, the Hamilton-Jacobi equation is investigated into the details in Loop Quantum Cosmology. The gauge-invariant observables are built and their equations of motions are reviewed both in Hamiltonian and Lagrangian approaches. This method is applied to scalar perturbations with either holonomy or inverse-volume corrections.
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Submitted on : Thursday, December 1, 2011 - 5:57:02 PM
Last modification on : Monday, July 20, 2020 - 9:18:26 AM

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T. Cailleteau, A. Barrau. Gauge invariance in Loop Quantum Cosmology : Hamilton-Jacobi and Mukhanov-Sasaki equations for scalar perturbations. Physical Review D, American Physical Society, 2012, 85, pp.123534. ⟨10.1103/PhysRevD.85.123534⟩. ⟨in2p3-00647301⟩

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