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Junction conditions and static fluid cylinders in Lyra's geometry

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Abstract

Junction conditions for Sen's theory in Lyra's geometry are considered. It is proposed that for any gauge function the standard O'Brien-Synge and Lichnerowicz junction conditions should be supplemented by demanding continuity of the displacement vector across the interface. A class of internal solutions of the Sen equations with a source term given by the energy-momentum tensor of a one-component perfect fluid with the ultrarelativistic equation of state that is expressible in terms of Bessel functions is proposed. The internal solution is regularly matched by means of the junction conditions to the exterior solution. The resulting two-parameter solution is globally non-Euclidean.

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References

  • Beesham, A. (1986a).Astrophysics and Space Science,127, 189.

    Google Scholar 

  • Beesham, A. (1986b).Astrophysics and Space Science,127, 355.

    Google Scholar 

  • Beesham, A. (1988).Australian Journal of Physics,41, 833.

    Google Scholar 

  • Bhamra, K. S. (1974).Australian Journal of Physics,27, 541.

    Google Scholar 

  • Bonnor, W. B. (1979).Journal of Physics A,12, 8746.

    Google Scholar 

  • Bonnor, W. B. (1982).General Relativity and Gravitation,14, 807.

    Google Scholar 

  • Evans, A. B. (1977).Journal of Physics A,10, 1303.

    Google Scholar 

  • Halford, W. D. (1970).Australian Journal of Physics,23, 863.

    Google Scholar 

  • Halford, W. D. (1972).Journal of Mathematical Physics,13, 1699.

    Google Scholar 

  • Hoyle, F., and Narlikar, J. V. (1948).Monthly Notices of the Royal Astronomical Society,108, 372.

    Google Scholar 

  • Israel, W. (1958).Proceedings of the Royal Society A,248, 404.

    Google Scholar 

  • Israel, W. (1966).Nuovo Cimento,44B, 1.

    Google Scholar 

  • Lichnerowicz, A. (1955).Theories Relativistes de la Gravitation et de l'Electromagnetisme, Masson, Paris.

    Google Scholar 

  • Lyra, G. (1951).Mathematische Zeitschrift,54, 52.

    Google Scholar 

  • Marder, L. (1958).Proceedings of the Royal Society A.244, 524.

    Google Scholar 

  • Matyjasek, J., and Rogatko, M. (1992).Astrophysics and Space Science,192, 299.

    Google Scholar 

  • Nariai, H. (1965).Progress of Theoretical Physics,34, 173.

    Google Scholar 

  • O'Brien, S., and Synge, J. L. (1952).Communications of the Institute for Advanced Studies,A9.

  • Ram, S., and Singh, P. (1992).International Journal of Theoretical Physics,31, 2095.

    Google Scholar 

  • Scheibe, E. (1952).Mathematische Zeitschrift,57, 65.

    Google Scholar 

  • Sen, D. K. (1957).Zeitschrift für Physik,149, 311.

    Google Scholar 

  • Sen, D. K. (1960).Canadian Mathematical Bulletin,5, 255.

    Google Scholar 

  • Sen, D. K. (1968).Fields and/or Particles, Academic Press, New York.

    Google Scholar 

  • Sen, D. K., and Dunn, K. A. (1971).Journal of Mathematical Physics,12, 578.

    Google Scholar 

  • Sen, D. K., and Vanstone, J. R. (1972).Journal of Mathematical Physics,13, 990.

    Google Scholar 

  • Singh, T., and Agrawal, A. K. (1992).International Journal of Theoretical Physics,31, 575.

    Google Scholar 

  • Singh, T., and Singh, G. P., (1991).Journal of Mathematical Physics,32, 2456.

    Google Scholar 

  • Singh, T., and Singh, G. P. (1992).International Journal of Theoretical Physics,31, 1433.

    Google Scholar 

  • Soleng, H. H. (1987).General Relativity and Gravitation,19, 1213.

    Google Scholar 

  • Spivak, M. (1979).A Comprehensive Introduction to Differential Geometry, Publish or Perish, Berkeley, California.

    Google Scholar 

  • Synge, J. L. (1960).Relativity: The General Theory, North-Holland, Amsterdam.

    Google Scholar 

  • Weyl, H. (1918).Annalen der Physik,1918, 465.

    Google Scholar 

  • Weyl, H. (1921).Göttinger Nachrichten,1921, 99.

    Google Scholar 

Download references

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  1. Institute of Physics, Maria Curie-Skłodowska University, 20-031, Lublin, Poland

    Jerzy Matyjasek

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  1. Jerzy Matyjasek
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Matyjasek, J. Junction conditions and static fluid cylinders in Lyra's geometry. Int J Theor Phys 33, 967–982 (1994). https://doi.org/10.1007/BF00672827

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  • DOI: https://doi.org/10.1007/BF00672827

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