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Publication Detail
Groundstate splitting around rotating mini Blackholes
  • Publication Type:
    Working discussion paper
  • Authors:
    Witte FMC, Sturm I
  • Publication date:
    07/2007
  • Series:
    gr-qc 0707.2676
  • Status:
    Unpublished
Abstract
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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