DOI QR코드

DOI QR Code

A PARTICULAR SOLUTION OF THE EINSTEIN'S EQUATION IN EVEN-DIMENSIONAL UFT Xn

  • Received : 2009.11.17
  • Accepted : 2010.04.23
  • Published : 2010.06.30

Abstract

In the unified field theory(UFT), in order to find a solution of the Einstein's equation it is necessary and sufficient to study the torsion tensor. The main goal in the present paper is to obtain, using a given torsion tensor (3.1), the complete representation of a particular solution of the Einstein's equation in terms of the basic tensor $g_{{\lambda}{\nu}}$ in even-dimensional UFT $X_n$.

Keywords

References

  1. A. Einstein, The meaning of relativity, Princeton University Press, Princeton, New Jersey, 1950.
  2. J. W. Lee, The representation of E($^{\ast}k$)-connection in n-$^{\ast}g$-UFT, Tensor, N. S. 66 (2005), 209-214.
  3. J. W. Lee and K. T. Chung, A solution of Einstein's uni¯ed ¯eld equations, Comm. Korean Math. Soc. 11 (1996), no. 4, 1047-1053.
  4. K. T. Chung and D. H. Cheoi, Relations of two n-dimensional unified field theories, Acta Math. Hung. 45 (1985), 141-149. https://doi.org/10.1007/BF01955031
  5. K. T. Chung and H. W. Lee, n-dimensional considerations of indicators, Yonsei Nonchong. Yonsei Univ. 12 (1975), 1-5.
  6. K. T. Chung and S. K. Yang, On the relations of two Einstein's 4-dimensional unified field theores, J. Korean Math. Soc. 18 (1981), no. 1, 43-48
  7. K. T. Chung and T. S. Han, n-dimensional representations of the unified field tensor $^{\ast}g^{{\lambda}{\nu}$, Inter. Jour. of Theo. Phys. 20 (1981), 739-747 https://doi.org/10.1007/BF00674251
  8. R. S. Mishra, n-dimensional considerations of the unified field theory of relativity, Tensor, N. S. 8 (1958), 95-122
  9. V. Hlavaty, Geometry of Einstein's unified field theory, P. Noordhoff Ltd. New York, 1957.