Groundstate splitting around rotating mini Blackholes

TL;DR

This paper calculates the spin-dependent groundstate energies of fermions around rotating mini blackholes, revealing a spin-splitting effect that could produce observable X-ray signatures from primordial blackholes.

Contribution

It introduces a novel calculation of fermionic boundstates in rotating blackhole spacetime using a slow rotation approximation and minimax variational method.

Findings

Groundstate energies are 0-5% of fermions' restmass.

Spin-dependent energy splitting is about 10% of the binding energy.

Potential observable X-ray signatures from primordial blackholes.

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.