Wiktor Szczyrba
Polish Academy of Sciences
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Featured researches published by Wiktor Szczyrba.
Communications in Mathematical Physics | 1976
Wiktor Szczyrba
A symplectic structure i.e. a symplectic form Γ on the set of all solutions of the Einstein equations on a given 4-dimensional manifold is defined. A degeneracy distribution of Γ is investigated and its connection with an action of the diffeomorphism group is established. A multiphase formulation of General Relativity is presented. A superphase space for General Relativity is proposed.
Annals of Physics | 1984
Wiktor Szczyrba
Abstract It is shown that in the SO(3)-covariant Hamiltonian formulation the system of the ECSK equations can be reduced to 7 gravitational constraints, 18 gravitational dynamical equations, and a system of matter field equations. The geometric meaning of the canonical (symplectic) and gauge variables is also explained. Moreover, a general method of how to analyse degenerate matter field lagrangians in the framework of the ECSK theory is discussed. The exposition is given in the language of SO(3)-covariant differential operators on 3-dimensional slices of spacetime.
Communications in Mathematical Physics | 1978
Wiktor Szczyrba
Canonical variables for the generalized (non-metric) Einstein-Cartan theory of gravity are defined. The space of solutions is equipped with a closed differential 2-form Ω. The symplectic 2-form Ω has a diagonal representation in terms of canonical variables. A geometric interpretation of the canonical variables is presented and the 3+1 formulation of the field equations is given.
Reports on Mathematical Physics | 1977
Wiktor Szczyrba
In the space of all solutions of the coupled Einstein-Maxwell field the symplectic form Ω is defined. The construction is based on the multiphase approach to classical field theories [13], [14]. The degeneracy distribution of Ω is given and its connection with the action of the symmetry group is established.
General Relativity and Gravitation | 1986
Kazimierz Frąckiewicz; Wiktor Szczyrba
AbstractIt is shown that by solving 12 of the field equations with respect to the connection components
Letters in Mathematical Physics | 1982
Kazimierz Franckiewicz; Wiktor Szczyrba
Journal of Mathematical Physics | 1985
Marek Antonowicz; Wiktor Szczyrba
\hat \Gamma _0^{(0)(i)}
Letters in Mathematical Physics | 1985
Marek Antonowicz; Wiktor Szczyrba
Reports on Mathematical Physics | 1974
Wiktor Szczyrba
and
Physical Review D | 1985
Marek Antonowicz; Wiktor Szczyrba