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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Lorentz group and its application in the theory of quantum gravity
 Pejcha, Jakub ; Pilc, Marián (advisor) ; Krtouš, Pavel (referee)
In this thesis we are dealing with basic methods of theoretical physics focusing on quantum theory of gravity, that are: Hamilton-Dirac formalism for singular systems, Dirac`s method of quantizing systems with constraints and its mathematical formulation - refined algebraic quantization, representation of compact groups and representation of Lorentz group. We apply these methods to find eigenstates of Lorentz group and General linear group generators. We construct a physical Hilbert space on temporal part of 3+1 decomposition of Einstein-Cartan theory. Powered by TCPDF (www.tcpdf.org)
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Magnetic fields of current loops around black holes
 Pejcha, Jakub ; Semerák, Oldřich (advisor) ; Ledvinka, Tomáš (referee)
Magnetic field of equatorial current loop around Schwarzschild (or Kerr) black hole has been studied in many papers and solutions expressed in different forms. In this work we summarize derivations of some of these solutions, illustrate them on specific examples and compare these examples. We also indicate analytic com- parison of some of the formulas. Published formulas lead, as expected, to same results, but some of them are more convenient for numerical evaluation. 1
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