A Hamiltonian structure of the interacting gravitational and matter fields

DOI10.1063/1.525138zbMath0473.58011OpenAlexW2057560274MaRDI QIDQ3927926

Wiktor Szczyrba

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525138

zbMATH Keywords

symplectic geometryenergy-momentum differential 3-formEuler-Lagrange variational equationsgravitational field coupled to a matter tensor fieldHamilton equation for an evolution vectorHamiltonian formulation for classical field theoriesmultisymplectic bundle

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamiltonian and Lagrangian mechanics (70H99)

Related Items

A canonical approach to the Einstein-generalized Born-Infeld theory ⋮ Hamiltonian dynamics of higher-order theories of gravity ⋮ Metric-affine variational principles in general relativity. II: Relaxation of the Riemannian constraint ⋮ A multisymplectic description of the Einstein-generalized Born-Infeld theory ⋮ A partly reduced system of Hamiltonian equations and the initial value problem in the ECSK theory of gravity ⋮ The dynamical structure of the Einstein-Cartan-Sciama-Kibble theory of gravity ⋮ The dynamical structure of gravitational theories with GL(4,R) connections

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