International Journal of Theoretical Physics

, Volume 48, Issue 3, pp 874–884 | Cite as

Structure Equations in the U 4 Theory of Gravitation

  • L. N. Katkar


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.


Newman-Penrose tetrad formalism Jogia and Griffith formalism Cartan’s equations of structure Einstein-Cartan theory of gravitation 


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  1. 1.
    Cartan, E.: Ann. Ec. Norm. Super. 40, 325–412 (1923) MathSciNetGoogle Scholar
  2. 2.
    Cartan, E.: Ann. Ec. Norm. Super. 41, 1–25 (1924) MathSciNetGoogle Scholar
  3. 3.
    Newman, E.T., Penrose, R.: J. Math. Phys. 3, 566–578 (1962) CrossRefADSMathSciNetGoogle Scholar
  4. 4.
    Jogia, S., Griffiths, J.B.: Gen. Relativ. Gravit. 12(8), 597–617 (1980) MATHMathSciNetGoogle Scholar
  5. 5.
    McIntosh, C.B.G., Hickman, M.S.: Gen. Relativ. Gravit. 17(2), 111–132 (1985) MATHCrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of MathematicsShivaji UniversityKolhapurIndia

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