2008•Progress of Theoretical Physics SupplementRequires access

A Manifestly Covariant Hamiltonian Formalism for Dynamical Geometry

James M. Nester

Abstract

A frame independent, manifestly 4-covariant, reformulation of our covariant Hamiltonian formalism for dynamical geometry is presented. The validity of all the steps in the derivation of the Hamiltonian and the exact meaning of the quasi-local Hamiltonian boundary term expressions for the energy-momentum and angular momentum are thereby clarified.

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Key concepts: Covariant transformation, Covariant Hamiltonian field theory, Hamiltonian (control theory), Mathematical physics, Hamiltonian formalism, Physics, Classical mechanics, Formalism (music)