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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Bibliographische Detailangaben
1. Verfasser:	Aresté Saló, Llibert
Format:	Dissertation
Sprache:	eng
Schlagworte:	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
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Zusammenfassung:	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.