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Non-static electromagnetic field in general relativity VI

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Czechoslovak Journal of Physics B Aims and scope

Abstract

The equations of Rainich's “already unified field theory” are investigated for the typeG 3 II acting on the spatially homogeneous hypersurfacesx 0=constant. Two solutions of a non-static electromagnetic field for the above case are presented here by using the exterior differential calculus. The space-time admits a three-parameter continuous group of motions, the minimum invariant varieties being the geodesically parallel parametric surfacesx 1=constant,x 2=constant andx 3=constant orthogonal tox 0=constant at points of the geodesics.

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References

  1. Rainich G. Y.: Trans. Am. Math. Soc.27 (1925) 106.

    Google Scholar 

  2. Misner C. W., Wheeler J. A.: Ann. Phys. (N. Y.)2 (1957) 525.

    Google Scholar 

  3. Witten L.: Colloque sur la Théorie de la Relativité, Centre Belge de Recherches Mathématiques, Brussels, 1959, p. 59–77.

    Google Scholar 

  4. Witten L.: Phys. Rev.115 (1959) 1, 206.

    Google Scholar 

  5. Witten L.: Phys. Rev.120 (1960) 635.

    Google Scholar 

  6. Raychaudhuri A. K.: Ann. Phys. (N. Y.)11 (1960) 501.

    Google Scholar 

  7. Rosen G.: J. Math. Phys.3 (1962) 313.

    Google Scholar 

  8. Rosen G.: Phys. Rev. B136 (1964) 297.

    Google Scholar 

  9. Brill D. R.: Phys. Rev. B133 (1964) 845.

    Google Scholar 

  10. Datta B. K.: Ann. Phys. (N. Y.)12 (1961) 295.

    Google Scholar 

  11. Datta B. K.: Ann. Phys. (N. Y.)15 (1961) 403.

    Google Scholar 

  12. Datta B. K.: Relativity and Gravitation, Gordon and Breach, London 1970, p. 111–121.

    Google Scholar 

  13. Datta B. K.: Nuovo Cim.36 (1965) 109.

    Google Scholar 

  14. Bera K., Datta B. K.: J. Phys. A1 (1968) 650.

    Google Scholar 

  15. Bera K., Datta B. K.: GRG5 (1974) 483.

    Google Scholar 

  16. De N., Datta B. K.: Phys. Rev. D3 (1971) 1280.

    Google Scholar 

  17. Rawal J. J., Datta B. K.: Proc. Internat. Symposium on Relativity and Unified Field Theory, S. N. Bose Inst. of Phys. Scs., Calcutta, 1975–76, p. 291–292.

    Google Scholar 

  18. Taub A. H.: Ann. Math.53 (1951) 472.

    Google Scholar 

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Authors and Affiliations

  1. Satyendranath Bose Institute of Physical Sciences, University of Calcutta, 92, Acharya Prafulla Chandra Road, 700009, Calcutta, India

    K. K. Bhattacharyya, D. Datta & B. K. Datta

  2. Surendranath College, 24/2, Mahatma Gandhi Road, 700009, Calcutta, India

    K. K. Bhattacharyya, D. Datta & B. K. Datta

Authors
  1. K. K. Bhattacharyya
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  2. D. Datta
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  3. B. K. Datta
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Bhattacharyya, K.K., Datta, D. & Datta, B.K. Non-static electromagnetic field in general relativity VI. Czech J Phys 32, 980–986 (1982). https://doi.org/10.1007/BF01597171

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  • DOI: https://doi.org/10.1007/BF01597171

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