Groundstate splitting around rotating mini Blackholes

Details Groundstate splitting around rotating mini Blackholes Groundstate splitting around rotating mini Blackholes

2007-07-18

arxiv.org/abs/0707.2676v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages submitted for publication as Letter

Scientific paper

In this letter we present the result of a spin-dependent groundstate-energy calculation for fermionic boundstates in the spacetime around a rotating blackhole. Using a slow rotation approximation and a minimax variational approach we find boundstate energies of 0 to 5 percent of the fermions flatspace restmass. The groundstate displays a spin-dependent splitting with an energy difference of about 10 percent of the binding energy. For a dilute gas of primordial mini blackholes with gravitationally bound electrons spin-flip transitions could possibly give rise to observable signatures in the observed soft X-ray spectrum for sources at cosmological distances.

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