Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-05-29
J.Math.Phys.49:052501,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, no figure. Appeared in JMP (May, 2008)
Scientific paper
10.1063/1.2912725
The Dirac equation is solved in the rotating Bertotti-Robinson spacetime. The set of equations representing the Dirac equation in the Newman-Penrose formalism is decoupled into an axial and angular part. The axial equation, which is independent of mass, is solved exactly in terms of hypergeometric functions. The angular equation is considered both for massless (neutrino) and massive spin-(1/2) particles. For the neutrinos, it is shown that the angular equation admits an exact solution in terms of the confluent Heun equation. In the existence of mass, the angular equation does not allow an analytical solution, however, it is expressible as a set of first order differential equations apt for numerical study.
Al-Badawi A.
Sakalli Izzet
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