A General Variational Principle of Classical Field and Its Application to General relativity I

2008/05/03 by Zhaoyan Wu, Wu, Zhaoyan
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.0805.0366

openalex publication_date 2008/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A general variational principle of classical fields with a Lagrangian containing the field quantity and its derivatives of up to the N-th order is presented. Noether's theorem is derived. The generalized Hamilton-Jacobi's equation for the Hamilton's principal functional is obtained. These results are surprisingly in great harmony with each other. They will be applied to the general relativity in the subsequent articles, especially the generalized Noether's theorem will be applied to the problem of conservation and non-conservation in curved spacetime..

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