English

Groundstate splitting around rotating mini Blackholes

General Relativity and Quantum Cosmology 2007-07-19 v1 Astrophysics

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.

Keywords

Cite

@article{arxiv.0707.2676,
  title  = {Groundstate splitting around rotating mini Blackholes},
  author = {I. Sturm and F. M. C. Witte},
  journal= {arXiv preprint arXiv:0707.2676},
  year   = {2007}
}

Comments

10 pages submitted for publication as Letter

R2 v1 2026-06-21T08:59:22.674Z