https://doi.org/10.1140/epjc/s10052-025-15234-2
Regular Article - Theoretical Physics
Gravitational spectra and wave propagation in regular black holes supported by a Dehnen Halo
1
Department of Physics, Faculty of Science, University of Hradec Králové, Rokitanského 62/26, 500 03, Hradec Králové, Czech Republic
2
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
3
University of Tashkent for Applied Sciences, Str. Gavhar 1, 100149, Tashkent, Uzbekistan
4
Tashkent State Technical University, 100095, Tashkent, Uzbekistan
5
National University of Uzbekistan, 100174, Tashkent, Uzbekistan
6
Samarkand State University, University Avenue 15, Samarkand, 140104, Uzbekistan
7
Mamun University, Bolkhovuz Street 2, 220900, Khiva, Uzbekistan
8
Urgench State University, Kh. Alimjan Street 14, 221100, Urgench, Uzbekistan
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
28
November
2025
Accepted:
17
December
2025
Published online:
31
December
2025
Abstract
We investigate gravitational perturbations, quasinormal modes, grey-body factors, and absorption cross-sections of the recently proposed regular and asymptotically flat black hole supported by a Dehnen-type dark-matter halo. This geometry provides a remarkably simple analytic model of supermassive black holes embedded in galactic environments, having a lapse function 
[R. A. Konoplya, A. Zhidenko, 2511.03066]. The regularizing parameter a is the characteristic scale of the halo. We compute the quasinormal spectrum for both axial “up” and “down” perturbations using the WKB method and verify the results through time-domain integration. The two sectors are no longer isospectral, and the deviations grow with the halo scale parameter. The grey-body factors and absorption cross-sections are extracted via standard scattering boundary conditions and the WKB approach, and their behaviour is fully consistent with the structure of the effective potentials. Altogether, our analysis demonstrates that a dark-matter halo imprint induces modifications in the gravitational response, while the employed approximation schemes remain sufficiently accurate for quantitative predictions. At asymptotically late times, the presence of the halo does not alter the Price-law decay, which remains identical to that of a Schwarzschild black hole in vacuum.
© The Author(s) 2025
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
