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International Journal of Theoretical Physics

, Volume 32, Issue 4, pp 615–624 | Cite as

Some remarks on Dirac's equation in the Tolman-Bondi geometry

  • Antonio Zecca
Article

Abstract

The Tolman-Bondi model is studied and integrated via the Newman-Penrose formalism. The results are used to discuss the Dirac equation. It is shown that there exist time regions during which the cosmological background can be considered fixed and the Dirac equation separated and reduced in a standard way to a one-dimensional wave equation.

Keywords

Field Theory Elementary Particle Quantum Field Theory Wave Equation Dirac Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bondi, H. (1947).Monthly Notices of the Royal Astronomical Society,107, 410.Google Scholar
  2. Chandrasekhar, S. (1983).The Mathematical Theory of Black Holes, Oxford University Press, Oxford.Google Scholar
  3. Demianski, H., and Lasota, J. P. (1973).Nature Physical Science,241, 53.Google Scholar
  4. Newman, E., and Penrose, R. (1962).Journal of Mathematical Physics,3, 566.Google Scholar
  5. Tolman, R. C. (1934).Proceedings of the National Academy of Sciences,20, 169.Google Scholar
  6. Zecca, A. (1991).Nuovo Cimento,106B, 413.Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • Antonio Zecca
    • 1
  1. 1.Dipartimento di Fisica dell'UniversitàIstituto Nazionale di Fisica NucleareMilanItaly

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