Quasinormal Modes and Topological Characteristics of a Schwarzschild Black Hole Surrounded by the Dehnen Type Dark Matter Halo

Fuente: arXiv
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Autori principali: Hosseinifar, Farokhnaz, Mamedov, Shahin, Studnička, Filip, Hassanabadi, Hassan
Natura: Preprint
Pubblicazione: 2025
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author Hosseinifar, Farokhnaz
Mamedov, Shahin
Studnička, Filip
Hassanabadi, Hassan
author_facet Hosseinifar, Farokhnaz
Mamedov, Shahin
Studnička, Filip
Hassanabadi, Hassan
contents In this work, we explore the critical parameters that delineate the existence of black holes, identifying the permissible ranges that facilitate their formation. 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_03260
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quasinormal Modes and Topological Characteristics of a Schwarzschild Black Hole Surrounded by the Dehnen Type Dark Matter Halo
Hosseinifar, Farokhnaz
Mamedov, Shahin
Studnička, Filip
Hassanabadi, Hassan
General Relativity and Quantum Cosmology
In this work, we explore the critical parameters that delineate the existence of black holes, identifying the permissible ranges that facilitate their formation. 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.
title Quasinormal Modes and Topological Characteristics of a Schwarzschild Black Hole Surrounded by the Dehnen Type Dark Matter Halo
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2503.03260