MG14 - Talk detail |
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Participant |
Dempsey, David | |||||||
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Institution |
University of Sheffield - Western Bank - Sheffield - Yorkshire - United Kingdom | |||||||
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Session |
BH4 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Bound states of the Dirac equation on Kerr spacetime | |||||
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Abstract |
In this talk I discuss recent work on the Dirac equation for a massive neutral particle with spin on a rotating black hole spacetime. We consider its (quasi)bound states: gravitationally-trapped modes which are regular across the (future) event horizon. It is shown that bound states decay with time, due to the absence of superradiance in the (single-particle) Dirac field. I will introduce a practical method for computing the spectrum of energy levels and decay rates, and compare our numerical results with known asymptotic results in the small-$M \mu$ and large-$M \mu$ regimes. Further results will show that the decay rate of low-frequency co-rotating modes is suppressed in the (bosonic) superradiant regime. |
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Pdf file |
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