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Local and global algebraic structures in general relativity

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Abstract

The extent to which the well-known pointwise algebraic canonical forms used for the energy-momentum tensor, the Weyl tensor, etc., can be regarded as smooth relations over some open subset of (possibly the whole of) space-time is investigated.

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References

  1. Bel, L. (1962).Cahier de Physique,16, 59.

  2. Dieudonné, J. (1969).Foundations of Modern Analysis, Academic Press, Vol. I.

  3. Hall, G. S. (1976).Journal of Physics A,9, 541.

  4. Hall, G. S. (1984).Differential Geometry, Vol. 12, Banach Centre Publications, Polish Scientific Publishers, Warsaw, p. 53.

  5. Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equation, Cambridge University Press.

  6. Penrose, R. (1960).Annals of Physics,10, 171.

  7. Petrov, A. Z. (1969).Einstein Spaces, Pergamon Press.

  8. Pirani, F. A. E. (1957).Physical Review,105, 1089.

  9. Plebanski, J. (1964).Acta Physica Polonica,26, 963.

  10. Sachs, R. K. (1961).Proceedings of the Royal Society A,264, 309.

  11. Synge, J. L. (1956).Relativity: The Special Theory, North-Holland, Amsterdam.

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Hall, G.S., Rendall, A.D. Local and global algebraic structures in general relativity. Int J Theor Phys 28, 365–375 (1989). https://doi.org/10.1007/BF00670208

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Keywords

  • Field Theory
  • General Relativity
  • Elementary Particle
  • Quantum Field Theory
  • Open Subset