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Digital archive of theses discussed at the University of Pisa

 

Thesis etd-05052014-140345


Thesis type
Tesi di laurea magistrale
URN
etd-05052014-140345
Thesis title
Loop gravity, twisted geometries and torsion
Department
FISICA
Course of study
FISICA
Supervisors
.
relatore Anselmi, Damiano
relatore Speziale, Simone
Keywords
  • Loop quantum gravity
Graduation session start date
22/05/2014
Availability
Full
Abstract (Inglese)
Abstract (Italiano)
It has been shown that discretization of General Relativity admit a geometric interpretation via the so-called twisted geometries, that differ from the Regge calculus because they lack of the shape- matching conditions. However it is still not clear whether or not they are full dynamical objects or just a kinematical arena and the dynamics will deal with a Regge-like geometry.

The main goal of the thesis is to investigate the dynamical arising of these conditions as secondary constraint in a simple twisted-geometries’ discretisation of a flat space-time, triangulated with the graph of a single 4- simplex. The stability procedure pointed out the presence of secondary constraints which are equivalent to the well-known shape-matching conditions.
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