Structure Equations in the U 4 Theory of Gravitation
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Cartan’s equations of structure and Bianchi identities in the U 4 theory of gravitation are derived. The relativistic language we adopted is that of Newman-Penrose-Jogia and Griffiths (NPJG). A number of important properties which arise in the development of basic equations are also presented in the NPJG formalism. It is hoped that the essence of non-Riemannian geometry can be summarized by exploiting these equations.
KeywordsNewman-Penrose tetrad formalism Jogia and Griffith formalism Cartan’s equations of structure Einstein-Cartan theory of gravitation
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