Canonical formalism for compact sources

Frisoni, Pietropaolo (2019) Canonical formalism for compact sources. [Laurea magistrale], Università di Bologna, Corso di Studio in Fisica [LM-DM270]
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This thesis aims to describe the ADM formalism of General Relativity and to use the latter to describe a spherical compact source consisting of a perfect fluid. With two different choices for three-dimensional metric on hypersurfaces, we analyze the constraints of the system in the non-static case and the resulting equations of motion, both for canonical gravitational variables and those of matter. After examining some special cases, we also show that it is possible, in the case of static nature, to obtain the value of the Misner-Sharp mass from the Hamiltonian constraint, while near the trapping surfaces we obtain a relationship between the density of matter and the dynamic variables of the metric. Finally we propose a possible method for quantizing the constraints using the procedure that in the vacuum leads to the Wheeler-DeWitt equations.

Tipologia del documento
Tesi di laurea (Laurea magistrale)
Autore della tesi
Frisoni, Pietropaolo
Relatore della tesi
Corso di studio
Curriculum A: Teorico generale
Ordinamento Cds
Parole chiave
Quantum Gravity,Misner-Sharp mass,Gravitation,Trapping horizon,ADM Formalism,Canonical Formalism,Compact Sources,3+1 Decomposition,General Relativity
Data di discussione della Tesi
25 Ottobre 2019

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