On the gravitational angular momentum of axial perturbations of a regular black hole

S. C. Ulhoa; F. L. Carneiro; B. C. C. Carneiro

doi:10.1209/0295-5075/ae63f1

Issue		EPL Volume 154, Number 4, May 2026


Article Number		49002
Number of page(s)		5
Section		Gravitation, cosmology and astrophysics
DOI		https://doi.org/10.1209/0295-5075/ae63f1
Published online		13 May 2026

EPL, 154 (2026) 49002

On the gravitational angular momentum of axial perturbations of a regular black hole

S. C. Ulhoa¹^,2 (This email address is being protected from spambots. You need JavaScript enabled to view it. ), F. L. Carneiro³ (This email address is being protected from spambots. You need JavaScript enabled to view it. ) and B. C. C. Carneiro⁴ (This email address is being protected from spambots. You need JavaScript enabled to view it. )

¹ Instituto de Física, Universidade de Brasília - 70910-900, Brasília, DF, Brazil
² Canadian Quantum Research Center - 106-460 Doyle Ave, Kelowna, British Columbia V1Y 0C2, Canada
³ Universidade Federal do Norte do Tocantins, Centro de Ciências Integradas - 77824-838 Araguaína, TO, Brazil
⁴ Instituto Federal do Tocantins - 77760-000, Colinas do Tocantins, TO, Brazil

Received: 15 February 2026
Accepted: 23 April 2026

Abstract

This Letter deals with the gravitational angular momentum carried by axial (odd-parity) perturbations of the Bardeen regular black hole within the teleparallel equivalent of general relativity (TEGR). Using the Hamiltonian definition of conserved quantities in TEGR, we derive a closed expression for the perturbative angular momentum δJ in terms of the axial perturbation function $Mathematical equation: $h_{0}(r,t)$$ . The result exhibits a sharp multipolar selection rule: δJ vanishes for odd values of the multipole index ℓ, while even-ℓ modes yield a nonzero contribution. The radial and temporal behavior of δJ is illustrated using the known axial quasinormal modes of the Bardeen spacetime.

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