Some remarks on Dirac's equation in the Tolman-Bondi geometry
- 23 Downloads
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.
KeywordsField Theory Elementary Particle Quantum Field Theory Wave Equation Dirac Equation
Unable to display preview. Download preview PDF.
- Bondi, H. (1947).Monthly Notices of the Royal Astronomical Society,107, 410.Google Scholar
- Chandrasekhar, S. (1983).The Mathematical Theory of Black Holes, Oxford University Press, Oxford.Google Scholar
- Demianski, H., and Lasota, J. P. (1973).Nature Physical Science,241, 53.Google Scholar
- Newman, E., and Penrose, R. (1962).Journal of Mathematical Physics,3, 566.Google Scholar
- Tolman, R. C. (1934).Proceedings of the National Academy of Sciences,20, 169.Google Scholar
- Zecca, A. (1991).Nuovo Cimento,106B, 413.Google Scholar