Speaker
Bohuslav Matouš
(Masaryk University, Brno, Czechia)
Description
The conventional Hamiltonian theory fails to provide covariant Hamiltonian description
of relativistic physics. To achieve covariant Hamiltoninan description, the covariant
Hamiltonian theory also called Weyl-de Donder theory can be used. With its help,
we have shown, that covariant Hamiltonian can be found for F(R) gravity.
F(R) gravity is a modification of General Relativity, where scalar curvature in
the Lagrangian is replaced with an unspecified function F(R) of scalar curvature.
F(R) gravity can be formulated in Jordan frame and using the Weyl transformation
also in Einstein frame. For both frames, the covariant Hamiltonians can be formulated
and also it can be demonstrated that they are bound with canonical transformation.
Authors
Bohuslav Matouš
(Masaryk University, Brno, Czechia)
Dr
Josef Klusoň
(Masaryk University)
