Hamiltonian dynamics of higher-order theories of gravity

DOI10.1063/1.527797zbMath0631.70017OpenAlexW1997740820MaRDI QIDQ3768445

Victor Szczyrba

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527797

zbMATH Keywords

group of diffeomorphismsEinstein's theory of gravitationsymplectic two-formconserved energy densityEinstein's Lagrangianfirst order variational problem

Mathematics Subject Classification ID

Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03) Classical field theories (70Sxx)

Related Items (1)

Canonical quantization of \(D\)-dimensional \(R^ 2\)-gravitation.

Cites Work

• The dynamical structure of the Einstein-Cartan-Sciama-Kibble theory of gravity
• Role of surface integrals in the Hamiltonian formulation of general relativity
• A symplectic structure on the set of Einstein metrics. A canonical formalism for general relativity
• The canonical variables, the symplectic structure and the initial value formulation of the generalized Einstein-Cartan theory of gravity
• Perturbations of conservation laws in field theories
• Variational principles on rth order jets of fibre bundles in field theory
• The dynamical structure of gravitational theories with GL(4,R) connections
• A Hamiltonian structure of the interacting gravitational and matter fields
• Existence theorem for solutions of Witten’s equation and nonnegativity of total mass
• Spacetime symmetries and linearization stability of the Einstein equations. I
• Quantum Theory of Gravity. I. The Canonical Theory
• On the Hamilton-Jacobi theory and quantization of a dynamical continuum

This page was built for publication: Hamiltonian dynamics of higher-order theories of gravity