https://doi.org/10.1140/epjc/s10052-025-14549-4
Regular Article - Theoretical Physics
Quasinormal modes and topological characteristics of a Schwarzschild black hole surrounded by the Dehnen type dark matter halo
1
Center for Theoretical Physics, Khazar University, 41 Mehseti Str., AZ1096, Baku, Azerbaijan
2
Institute for Physical Problems, Baku State University, Z.Khalilov 23, AZ1148, Baku, Azerbaijan
3
Institute of Physics, Ministry of Science and Education, H.Javid 33, AZ1143, Baku, Azerbaijan
4
Lab. for Theor. Cosmology, International Centre of Gravity and Cosmos, Tomsk State University of Control Systems and Radio Electronics (TUSUR), 634050, Tomsk, Russia
5
Department of Physics, Faculty of Science, University of Hradec Králové, Rokitanského 62, 500 03, Hradec Králové, Czechia
6
Departamento de Física Teórica, Atómica y Optica and Laboratory for Disruptive, Interdisciplinary Science (LaDIS), Universidad de Valladolid, 47011, Valladolid, Spain
Received:
29
April
2025
Accepted:
18
July
2025
Published online:
31
July
2025
In this study, we investigate a Schwarzschild black hole surrounded by Dehnen-type dark matter. A comprehensive thermodynamic analysis of black holes is conducted, leading to the calculation of black hole remnants. We investigate the trajectory of light, establishing an upper limit for the parameters based on Event Horizon Telescope (EHT) observations of Sgr A*, ensuring that the black hole’s shadow resides within the allowed region. Furthermore, we derive the quasinormal modes (QNMs) for both scalar and electromagnetic perturbations. Utilizing a topological framework, we examine the stability of the photon sphere and classify the topology of the black hole in accordance with its thermodynamic potentials.
© The Author(s) 2025
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Funded by SCOAP3.
