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Regge calculus and observations. II. Further applications

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Abstract

The method, developed in an earlier paper, for tracing geodesies of particles and light rays through Regge calculus space-times, is applied to a number of problems in the Schwarzschild geometry. It is possible to obtain accurate predictions of light bending by taking sufficiently small Regge blocks. Calculations of perihelion precession, Thomas precession, and the distortion of a ball of fluid moving on a geodesic can also show good agreement with the analytic solution. However difficulties arise in obtaining accurate predictions for general orbits in these space-times. Applications to other problems in general relativity are discussed briefly.

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References

  1. Williams, Ruth M., and Ellis, G. F. R. (1981).Gen. Rel. Grav.,13, 361.

    Google Scholar 

  2. Regge, T. (1961).Nuovo Cimento,19, 558.

    Google Scholar 

  3. Misner, C., Thorne, K., and Wheeler, J. A. (1973).Gravitation (W. H. Freeman and Company, San Francisco).

    Google Scholar 

  4. Allen, C. W. (1973).Astrophysical Quantities, third ed. (Athlone Press, University of London).

  5. Zienkiewicz, O. C. (1977).The Finite Element Method (McGraw-Hill, New York).

    Google Scholar 

  6. Wong, Cheuk-Yin (1971).J. Math. Phys.,12, 70.

    Google Scholar 

  7. Porter, J. D. (1982). Numerical study of non-homogeneous space-times using Regge calculus, D. Phil. thesis, University of Oxford.

  8. Collins, P. A., and Williams, Ruth M. (1973).Phys. Rev. D,7, 965.

    Google Scholar 

  9. Ellis, G. F. R. (1971). Relativistic cosmology, in:General Relativity and Cosmology, Proceedings of the XLVII Enrico Fermi Summer School, Sachs, R. K., ed. (Academic Press, New York).

    Google Scholar 

  10. Penrose, R. (1966). General relativistic energy flux and geometric optics, in:Perspectives in Geometry and Relativity, Hoffmann, B., ed. (Indiana University Press, Bloomington, Indiana).

    Google Scholar 

  11. Wheeler, J. A. (1968). Superspace and quantum geometrodynamics, in:Battelle Rencontres, DeWitt, B., and Wheeler, J. A., eds. (Benjamin, New York); Hawking, S. W. (1978).Nucl. Phys.,B144, 349.

    Google Scholar 

  12. Smarr, L., ed. (1979).Sources of Gravitational Radiation (Cambridge University Press, Cambridge).

    Google Scholar 

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Authors and Affiliations

  1. Girton College, CB3 0JG, Cambridge, England

    Ruth M. Williams

  2. Department of Applied Mathematics and Theoretical Physics, Silver Street, CB3 9EW, Cambridge, England

    Ruth M. Williams

  3. Department of Applied Mathematics, University of Cape Town, Rondebosch, Cape Town, South Africa

    G. F. R. Ellis

Authors
  1. Ruth M. Williams
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  2. G. F. R. Ellis
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Williams, R.M., Ellis, G.F.R. Regge calculus and observations. II. Further applications. Gen Relat Gravit 16, 1003–1021 (1984). https://doi.org/10.1007/BF00760639

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  • DOI: https://doi.org/10.1007/BF00760639

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