Quantum Cosmological Perturbations of Generic Fluids in Quantum Universes

Abstract

In previous works, it was shown that the Lagrangians and Hamiltonians of cosmological linear scalar, vector and tensor perturbations of homogeneous and isotropic space-times with flat spatial sections containing a perfect fluid can be put in a simple form through the implementation of canonical transformations and redefinitions of the lapse function, without ever using the background classical equations of motion. In this paper, we generalize this result to general fluids, which includes entropy perturbations, and to arbitrary spacelike hyper-surfaces through a new method together with the Faddeev-Jackiw procedure for the constraint reduction. A simple second order Hamiltonian involving the Mukhanov-Sasaki variable is obtained, again without ever using the background equations of motion.

19 pages, revtex4-1, submitted to PRD, expanded discussion about our method, fixed typos

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• Cosmology without inflation
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• Scalar and Vector Perturbations in Quantum Cosmological Backgrounds
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Cited by in corpus (15)

• Celestial holography on Kerr-Schild backgrounds
• Consistent Scalar and Tensor Perturbation Power Spectra in Single Fluid Matter Bounce with Dark Energy Era
• Quantum Cosmological Perturbations of Multiple Fluids
• Scalar Field Perturbations with Arbitrary Potentials in Quantum Backgrounds
• Comments on "Growth of Covariant Perturbations in the Contracting Phase of a Bouncing Universe" by A. Kumar
• Hamiltonian analysis of General Relativity and extended gravity from the iterative Faddeev-Jackiw symplectic approach
• Vector perturbations in bouncing cosmology
• Covariant Bardeen Perturbation Formalism
• New formalism to define vacuum states for scalar fields in curved space-times
• Primordial Black Hole Formation in a Dust Bouncing Model
• Mean Value of the Quantum Potential and Uncertainty Relations
• A quasi-matter bounce equivalent to Starobinsky inflation
• Radiation-dominated bouncing model with slow contraction and inflation
• Viable Curvaton Models from the $f_{NL}$ Parameter
• Selected Topics in Numerical Methods for Cosmology