Singularities and qualitative study in LQC

We will perform a detailed analysis of singularities in Einstein Cosmology and in LQC (Loop Quantum Cosmology). We will obtain explicit analytical expressions for the energy density and the Hubble constant for a given set of possible Equations of State. We will also consider the case when the backgr...

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description We will perform a detailed analysis of singularities in Einstein Cosmology and in LQC (Loop Quantum Cosmology). We will obtain explicit analytical expressions for the energy density and the Hubble constant for a given set of possible Equations of State. We will also consider the case when the background is driven by a single scalar field, obtaining analytical expressions for the corresponding potential. And, in a given particular case, we will perform a qualitative study of the orbits in the associated phase space of the scalar. eld.
format Dissertation
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subjects 83 Relativity and gravitational theory
83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories
Classificació AMS
Cosmic singularity
Equation of State
Matemàtiques i estadística
Quantum cosmology
Relativitat (Física)
Relativity (Physics)
Scalar field
Àrees temàtiques de la UPC
title Singularities and qualitative study in LQC
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