BH4 - Gravitational fields with sources: From compact objects to black holes |
|
Speaker |
Dempsey, David |
|
Coauthors |
Dolan, Sam R. |
| Talk Title |
Bound states of the Dirac equation on Kerr spacetime |
|
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. |
|
Talk view |
|
|
|
|