Journal ArticleDOI
A fundamental quadratic variational principle underlying general relativity
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In this paper, the fundamental result of Lanczos is used in a new type of quadratic variational principle whose field equations are the Einstein field equations together with the Yang-Mills type equations for the Riemann curvature.Abstract:
The fundamental result of Lanczos is used in a new type of quadratic variational principle whose field equations are the Einstein field equations together with the Yang-Mills type equations for the Riemann curvature. Additionally, a spin-2 theory of gravity for the special case of the Einstein vacuum is discussed.read more
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Journal ArticleDOI
Conservation of Isotopic Spin and Isotopic Gauge Invariance
Chen Ning Yang,Robert L. Mills +1 more
TL;DR: In this article, it was pointed out that the usual principle of invariance under isotopic spin rotation is not consistant with the concept of localized fields, and the possibility of having invariance in local isotope spin rotations was explored.
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General Relativity with Spin and Torsion: Foundations and Prospects
TL;DR: In this article, a generalization of Einstein's gravitational theory is discussed in which the spin of matter as well as its mass plays a dynamical role, and the theory which emerges from taking this coupling into account, the ${U}_{4}$ theory of gravitation, predicts, in addition to the usual infinite-range gravitational interaction medicated by the metric field, a new, very weak, spin contact interaction of gravitational origin.
Journal ArticleDOI
Lorentz Invariance and the Gravitational Field
TL;DR: In this article, Utiyama's discussion is extended by considering the 10-parameter group of inhomogeneous Lorentz transformations, involving variation of the coordinates as well as the field variables.
Journal ArticleDOI
Invariant theoretical interpretation of interaction
TL;DR: In this paper, a general rule is obtained for introducing a new field in a definite way with a definite type of interaction with the original fields by postulating the invariance of these systems under a wider group derived by replacing the parameters of the original group with a set of arbitrary functions.
Journal ArticleDOI
Integral Formalism for Gauge Fields
TL;DR: In this article, a new integral formalism for gauge fields is described, including gravitation equations related to, but not identical with, Einstein's equations, and further developments are presented.