Skip to main content
SpringerLink
Log in

Curvature tensors unified field equations on SEXn

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We study the curvature tensors and field equations in then-dimensional SE manifold SEXn. We obtain several basic properties of the vectorsS λ andU λ and then of the SE curvature tensor and its contractions, such as a generalized Ricci identity, a generalized Bianchi identity, and two variations of the Bianchi identity satisfied by the SE Einstein tensor. Finally, a system of field equations is discussed in SEXn and one of its particular solutions is constructed and displayed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bose (1953).

  • Chung, K. T. (1963). Einstein's connection in terms of 1103-01,Nuovo Cimento (X),27,

  • Chung, K. T.,et al. (1968). Conformai change in Einstein's *g-UFT.-I,Nuovo Cimento (X),58B.

  • Chung, K. T.,et al. (1969). Degenerate cases of the Einstein's connection in *g-UFT. -I,Tensor,20.

  • Chung, K. T.et al. (1981).n-dimensional representations of the unified field tensor*gνν,International Journal of Theoretical Physics,20, 739–747.

    Google Scholar 

  • Chung, K. T.,et al. (1983). Some recurrence relations and Einstein's connection in 2-dimensional UFT,Acta Mathematica Hungarica,41(1–2).

    Google Scholar 

  • Chung, K. T.,et al. (1985a). A study of the relations of twon-dimensional unified field theories,Acta Mathematica Hungarica,45(1–2).

    Google Scholar 

  • Chung, K. T.et al. (1985b). A study on the SE-hypersurfces of an-dimensional SE-manifold,Journal of NSRI, Yonsei University, Seoul,15.

  • Chung, K. T.,et al. (1989). A study on the n-dimensional SE-connection and its conformal change,Nuovo Cimento,100B, 537–549.

    Google Scholar 

  • Einstein, A. (1950).The Meaning of Relativity, Princeton University Press.

  • Einstein, A. (1955).

  • Hlavatý, V. (1957).Geometry of Einstein's Unified Field Theory, Noordhoop.

  • Lichnerowicz (1955).

  • Mishra, R. S. (1959).n-Dimensional considerations of unified field theory of relativity,Tensor, N.S., 9.

  • Schrödinger, E. (1949).

  • Winogradski (1956).

  • Wrede, R. C. (1958).n-Dimensional considerations of basic principles A and B of the unified field theory of relativity,Tensor,8.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Yonsei University, Seoul, Korea

    Kyung Tae Chung

  2. Department of Mathematics, Pusan Industrial University, Pusan, Korea

    Il Young Lee

Authors
  1. Kyung Tae Chung
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Il Young Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chung, K.T., Lee, I.Y. Curvature tensors unified field equations on SEXn . Int J Theor Phys 27, 1083–1104 (1988). https://doi.org/10.1007/BF00674353

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00674353

Keywords

Search

Navigation