https://doi.org/10.1140/epjp/s13360-023-03705-y
Regular Article
Slowly rotating quantum dust cores and black holes
1
Dipartimento di Fisica e Astronomia “A. Righi”, Università di Bologna, via Irnerio 46, 40126, Bologna, Italy
2
I.N.F.N., Sezione di Bologna, I.S. FLAG, viale B. Pichat 6/2, 40127, Bologna, Italy
Received:
13
December
2022
Accepted:
14
January
2023
Published online:
31
January
2023
We study the effect of rotation on the spectrum of bound states for dust cores that source (quantum) black holes found in Eur. Phys. J. C 82 (2022) 10. The dust ball is assumed to spin rigidly with sufficiently slow angular velocity that perturbation theory can be applied. Like the total mass, the total angular momentum is shown to be quantised in Planck units, hence so is the horizon area. For sufficiently small fraction of mass in the outermost layer, the model admits ground states which can spin fast enough within the perturbative regime so as to describe regular rotating objects rather than black holes.
© The Author(s) 2023
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