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QG3 - Loop quantum gravity: cosmology and black holes

Speaker

Mena Marugan, Guillermo A.

Coauthors

Elizaga Navascues, Beatriz; Martin de Blas, Daniel

Talk Title

The Mass Of Cosmological Perturbations In Loop Quantum Cosmology

Abstract

Loop quantum cosmology has recently been applied to extend the analysis of primordial perturbations to the Planck era and discuss the possible effects on the cosmic microwave background. Two approaches to loop quantum cosmology leading to predictions that can be compatible with observations are the so-called hybrid and dressed metric approaches. In spite of their similarities, we show that the effective equations that they provide for the evolution of the tensor and scalar perturbations are different. When backreaction is neglected, the discrepancy appears only in the time-dependent mass term of the corresponding field equations. We explain the origin of this difference. Besides, given the privileged role of the Big Bounce as a natural instant of time to set initial conditions for the perturbations, we also analyze the positivity of the time-dependent mass when this bounce occurs.

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