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Dive into the research topics where Wiktor Szczyrba is active.

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Featured researches published by Wiktor Szczyrba.


Communications in Mathematical Physics | 1976

A symplectic structure on the set of Einstein metrics. A canonical formalism for general relativity

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

THE DYNAMICAL STRUCTURE OF THE EINSTEIN-CARTAN-SCIAMA-KIBBLE THEORY OF GRAVITY

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

The canonical variables, the symplectic structure and the initial value formulation of the generalized Einstein-Cartan theory of gravity

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

A symplectic structure for the Einstein-Maxwell field

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

A partly reduced system of Hamiltonian equations and the initial value problem in the Ecsk theory of gravity

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

A Hamiltonian formulation of the Einstein-Cartan-Sciama-Kibble theory of gravity

Kazimierz Franckiewicz; Wiktor Szczyrba


Journal of Mathematical Physics | 1985

THE DYNAMICAL STRUCTURE OF GRAVITATIONAL THEORIES WITH GL(4,R) CONNECTIONS

Marek Antonowicz; Wiktor Szczyrba

\hat \Gamma _0^{(0)(i)}


Letters in Mathematical Physics | 1985

Geometry of canonical variables in gravity theories

Marek Antonowicz; Wiktor Szczyrba


Reports on Mathematical Physics | 1974

A Lagrangian and canonical formalism in the hydrodynamics of an incompressible fluid

Wiktor Szczyrba

and


Physical Review D | 1985

Spinor matter fields in SL(2,C) gauge theories of gravity: Lagrangian and Hamiltonian approaches.

Marek Antonowicz; Wiktor Szczyrba

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