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http://hdl.handle.net/11129/1975
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| Title: | Solution of the Dirac equation in the rotating Bertotti-Robinson spacetime |
| Authors: | Al-Badawi, Ahmad
Sakallı, İzzet |
| Keywords: | general relativity
rotating Bertotti-Robinson spacetime
Dirac equation
General Relativity and Quantum Cosmology |
| Issue Date: | 2008 |
| Publisher: | Journal of Mathematical Physics, American Institute of Physics (AIP) |
| Citation: | “Solution of the Dirac Equation in the Rotating Bertotti-Robinson Spacetime", Ahmad Al-Badawi and Izzet Sakalli, J. Math. Phys. 49, 052501 (2008). |
| Series/Report no.: | ;J.Math.Phys.49:052501,2008 |
| Abstract: | 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. |
| Description: | The file in this item is the publisher version (published version) of the article. |
| URI: | http://hdl.handle.net/11129/1975 |
| ISSN: | 0022-2488 |
| Appears in Collections: | PHY – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Physics
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