Open AccessA relativistic theory of the field II: Hamilton's principle and Bianchi's identities
Author(s) -
Mississippi Valenzuela
Publication year - 2021
Publication title -
revista de investigación de física/revista de investigación de física
Language(s) - English
Resource type - Journals
eISSN - 1728-2977
pISSN - 1605-7724
DOI - 10.15381/rif.v24i3.14375
Subject(s) - general relativity , classical field theory , physics , mathematics of general relativity , gravitation , theory of relativity , mathematical physics , curvature , classical mechanics , introduction to the mathematics of general relativity , field equation , riemann curvature tensor , electromagnetism , field (mathematics) , generalization , gravitational field , classical unified field theories , mathematics , numerical relativity , geometry , mathematical analysis , quantum mechanics , pure mathematics
As gravitation and electromagnetism are closely analogous long-range interactions, and the current formulation of gravitation is given in terms of geometry. Thence emerges a relativistic theory of the field by generalization of the general relativity. The derivation presented shows how naturally we can extend general relativity theory to a non-symmetric field, and that the field-equations are really the generalizations of the gravitational equations. With curvature tensor and the variational principle, we will deduce the field equations and Bianchi's identities. In consecuense, the field equations will find from Bianchi's identities.