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On certain timelike symmetry properties and the evolution of matter field space-times that admit them

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Abstract

This paper treats matter field space-times admitting timelike conformai motions and timelike members of the family of contracted Ricci collineations (FCRC). The physical properties of these timelike symmetries in relation to the time development of relativistic matter field space-times are developed in terms of a number of specific theorems. Insofar as possible, the similarities and differences of the timelike conformal motions and the FCRC are discussed in some detail. Special applications are given that illustrate the possible value of the present considerations and related conservation expressions in relation to the Cauchy problem of matter field space-times admitting timelike symmetry properties.

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References

  1. Berger, B. (1976).J. Math. Phys.,17, 1268.

    Google Scholar 

  2. Yano, L. (1955).The Theory of Lie Derivatives and Its Applications (North-Holland Publishing Co., Amsterdam).

    Google Scholar 

  3. Wainwright, J., and Yaremovicz, P. E. A. (1976).Gen. Rel. Grav.,7, 345.

    Google Scholar 

  4. McIntosh, C. B. G. (1976).Gen. Rel. Grav.,7, 199.

    Google Scholar 

  5. Oliver, D. R., and Davis, W. R. (1976).J. Math. Phys.,17, 1790.

    Google Scholar 

  6. Davis, W. R., Green, L. H., and Norris, L. K. (1976).Nuovo Cimenta,34B, 256.

    Google Scholar 

  7. Schouten, J. A. (1954).Ricci-Calculus (Springer-Verlag, Berlin).

    Google Scholar 

  8. Green, L. H., Norris, L. K., Oliver, D. R., and Davis, W. R.Gen. Rel. Grav.,8, 731.

  9. Eisenhart, L. P. (1926).Riemannian Geometry (Princeton University Press, New Jersey), p. 181.

    Google Scholar 

  10. Lichnerowicz, A. (1967).Relativistic Hydrodynamics and Magnetohydrodynamics W. A. Benjamin, New York), pp. 23–31.

    Google Scholar 

  11. Weinberg, S. (1972).Gravitation and Cosmology (John Wiley and Sons, New York), pp. 412–415.

    Google Scholar 

  12. Ryan, M., and Shepley, L. (1975).Homogeneous Relativistic Cosmologies (Princeton University Press, New Jersey), pp. 53–56.

    Google Scholar 

  13. Glass, E. N. (1975).J. Math. Phys.,16, 2361.

    Google Scholar 

  14. Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation (W. H. Freeman and Company, San Francisco), pp. 535–537.

    Google Scholar 

  15. York, J. W., Jr. (1972)Phys. Rev. Lett.,28, 1082.

    Google Scholar 

  16. Ó Murchadha, N., and York, J. W., Jr. (1974).Phys. Rev. D,10, 428.

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, North Carolina State University, 27607, Raleigh, North Carolina

    D. R. Oliver Jr. & W. R. Davis

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  1. D. R. Oliver Jr.
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  2. W. R. Davis
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Oliver, D.R., Davis, W.R. On certain timelike symmetry properties and the evolution of matter field space-times that admit them. Gen Relat Gravit 8, 905–914 (1977). https://doi.org/10.1007/BF00759239

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  • DOI: https://doi.org/10.1007/BF00759239

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