Slowly rotating quantum dust cores and black holes

• Published in: European physical journal plus Vol. 138; no. 1; p. 104
• Main Authors: Casadio, R., Tabarroni, L.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 31-01-2023; Springer Nature B.V
• Subjects: Angular momentum; Angular velocity; Applied and Technical Physics; Approximation; Atomic; Black holes; Complex Systems; Condensed Matter Physics; Cores; Dust; Eigenvalues; Geometry; Mathematical and Computational Physics; Molecular; Optical and Plasma Physics; Perturbation theory; Physics; Physics and Astronomy; Regular Article; Rotation; Spacetime; Theoretical; Velocity
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-023-03705-y

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.