Affiliation:
1. Department of Physical Sciences , Indian Institute of Science Education and Research Kolkata (IISER-K) , Mohanpur 741246, Kolkata , India
Abstract
Abstract
The equation of motion of a massless Dirac particle in the C-metric leads to the general Heun equation (GHE) for the radial and the polar variables. The GHE, under certain parametric conditions, is cast in terms of a new set of su(1, 1) generators involving differential operators of degrees ±1/2 and 0. Additional Heun polynomials are obtained using this new algebraic structure and are used to construct some exact solutions for the radial and the polar parts of the Dirac equation.
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics
Reference27 articles.
1. T. Levi-Civita, Rend. Accad. Naz. Lincei 27, 343 (1918).
2. J. Ehlers and W. Kundt, in: Gravitation: An Introduction to Current Research (Ed. L. Witten), Wiley, New York 1962.
3. W. Kinnersley and M. Walker, Phys. Rev. D 2, 1359 (1970).
4. W. B. Bonnor, Gen. Relativ. Gravit. 15, 535 (1983).
5. F. H. J. Cornish and W. J. Uttley, Gen. Relativ. Gravit. 27, 439 (1995).