Modified Ostrogradski formulation of field theory

Details Modified Ostrogradski formulation of field theory Modified Ostrogradski formulation of field theory

2006-10-07

arxiv.org/abs/gr-qc/0610027v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

minor additions

Scientific paper

We present a method for the Hamiltonian formulation of field theories that are based on Lagrangians containing second derivatives. The new feature of our formalism is that all four partial derivatives of the field variables are initially considered as independent fields, in contrast to the conventional Ostrogradski method, where only the velocity is turned into an independent field variable. The consistency of the formalism is demonstrated by simple unconstrained and constrained second order scalar field theories. Its application to General Relativity is briefly outlined.

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