2017/01/14 by Davide Batic, Marek Nowakowski, Kirk Morgan
Physics and Astronomy · #gr-qc
published as Universe 2016, 2, 31 · 12 pages
arxiv created 2017/01/14 · arxiv updated 2017/01/17
We use the Dirac equation in a fixed black hole background and different independent techniques to demonstrate the absence of fermionic bound states around a Schwarzschild black hole. In particular, we show that no embedded eigenvalues exist which have been claimed for the case when the energy is less than the particle's mass. We explicitly prove that the claims regarding the embedded eigenvalues can be traced back to an oversimplified approximation in the calculation. We conclude that no bound states exist regardless the value of the mass.