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Speaker |
Morgan, Kirk |
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Coauthors |
Batic, Davide |
| Talk Title |
Non-existence of bound states for the Dirac equation in the Kerr-de Sitter metric |
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Abstract |
We start with the Dirac equation in the presence of a Kerr-de Sitter manifold. We give a novel classification of the horizons in dependence of the algebraic multiplicities of a certain parametric quartic equation. After a Chandrasekhar-like ansatz the Dirac equation can be separated into a radial and angular system. Concerning the angular system we analyze the corresponding differential operator for which we prove its self-adjointness and we also show that its spectrum is purely discrete and simple. Furthermore, we compute the deficiency indices of the radial system and we show that the Dirac equation in the presence of a rotating black hole immersed in a universe with positive cosmological constant does not admit bound states solutions. |
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