Wiktor Szczyrba
Polish Academy of Sciences
14 Papers
123 Citations
Wiktor Szczyrba is an academic researcher from Polish Academy of Sciences. The author has contributed to research in topics: Symplectomorphism & Symplectic geometry. The author has an hindex of 6, co-authored 14 publications.
Chat about Author
Papers
A symplectic structure on the set of Einstein metrics. A canonical formalism for general relativity
TL;DR: In this paper, a degeneracy distribution of a symplectic form Γ on a given 4-dimensional manifold is investigated and its connection with an action of the diffeomorphism group is established.
42
The dynamical structure of the Einstein-Cartan-Sciama-Kibble theory of gravity
TL;DR: In this paper, the SO(3)-covariant Hamiltonian formulation of the ECSK equations is shown to be equivalent to 7 gravitational constraints, 18 gravitational dynamical equations, and a system of matter field equations.
22
A Hamiltonian structure of the interacting gravitational and matter fields
TL;DR: In this paper, a Hamiltonian formulation for classical field theories is presented, in which the Hamilton equation is written by means of the energy-momentum function E and the symplectic 2−form Ω.
18
The canonical variables, the symplectic structure and the initial value formulation of the generalized Einstein-Cartan theory of gravity
TL;DR: Canonical variables for the generalized (nonmetric) Einstein-Cartan theory of gravity are defined in this paper, and a geometric interpretation of the canonical variables is presented and the 3+1 formulation of the field equations is given.
A symplectic structure for the Einstein-Maxwell field
TL;DR: In this article, the degeneracy distribution of the symplectic form of the coupled Einstein-Maxwell field is given and its connection with the action of the symmetry group is established, based on the multiphase approach to classical field theories.
10