Mgr. Bohuslav Matouš, Ph.D.

Doctoral thesis

Covariant Hamiltonian Formalism & Thermodynamics of Gravity

Covariant Hamiltonian Formalism & Thermodynamics of Gravity
Abstract:
Tato dizertace zkoumá kovariantní hamiltonovský formalizmus v gravitačních teorií s důrazem na termodynamické vlastnosti. Kovariantní hamiltonián je nalezen pro F(R)-gravitaci jak v Jordanově tak i v Einsteinově souřadné soustavě. Je ukázáno, že tyto dvě soustavy jsou spojeny kanonickou transformací. Též je zkoumán i povrchový hamiltonián pro F(R)-gravitaci, ten na horizontu vede přímo na termodynamické …more
Abstract:
This thesis studies Covariant Hamiltonian Formalism in theories of gravity and looks for the thermodynamic properties. The covariant Hamiltonian is constructed for F(R)-Gravity in Jordan as well as in Einstein frame. It is shown, that those two frames are connected with a canonical transformation. The surface Hamiltonian of F(R)-Gravity is also studied, such Hamiltonian has direct thermodynamic meaning …more
 

Keywords

Covariant Hamiltonian Formalism Thermodynamics of Gravity Horizons Alternative Theories of Gravity F(R)-Gravity Einstein Frame Jordan Frame Unimodular Gravity Henneaux-Teitelboim Formulation Weyl Gravity
 
Language used: English
Date on which the thesis was submitted / produced: 3. 7. 2023
Identifier: https://is.muni.cz/th/sjx64/

Thesis defence

  • Date of defence: 16. 11. 2023
  • Supervisor: doc. Mgr. Josef Klusoň, Ph.D.
  • Reader: doc. Mgr. David Kubizňák, Ph.D., RNDr. Otakar Svítek, Ph.D.

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