Massless fermions on static general prolate metrics and their Heun solutions
Keyword(s):
Employing a pseudo-orthonormal coordinate-free approach, we write down the Dirac equation in spacetimes with static general prolate metrics. As examples, we consider the electrically charged C-metric, the vacuum C-metric, the Reissner–Nordström and Schwarzschild spacetimes and the BBMB black hole and show that the solutions to the Dirac equations for particles in these spacetimes can be derived in terms of Heun’s general functions and their confluent and double confluent forms. By imposing boundary conditions to the radial solutions, the so-called resonant frequencies are obtained.
Keyword(s):
2011 ◽
Vol 2
(1)
◽
2004 ◽
Vol 134
(1)
◽
pp. 215-223
◽
Keyword(s):