RT info:eu-repo/semantics/article T1 Black holes immersed in polytropic scalar field gas A1 Sekhmani, Yassine A1 Zare, Soroush A1 Nieto Calzada, Luis Miguel A1 Hassanabadi, Hassan A1 Boshkayev, Kuantay A. K1 22 Física AB By implementing the concept of polytropic structures as a scalar field gas with a dark energy-like behavior, we obtain a static spherically symmetric black holesolution in the framework of general relativity. In this paper, we study the quasinormal modes, the greybody bound process, the shadow behaviors, and the sparsityof black holes with a surrounding polytropic scalar field gas. Using the Wentzel-Kramers-Brillouin (WKB) approach, we evaluate the impact of a particular set ofpolytropic parameters (𝜉��������, 𝐴��������) with a fixed setting of the polytropic index 𝑛�������� on the oscillation frequency and damping rate of gravitational waves. The results show thatthe effect of the parameter 𝜉�������� is much less significant than that of the parameter 𝐴�������� on the gravitational waves oscillation frequency and damping rate. Furthermore,the analysis of the greybody factor bounds reveals special insight into the effect of certain parameters where the multipole moments 𝑙�������� and the polytropic index 𝑛��������have similar effects, in contrast to the pair of polytropic parameters (𝜉��������, 𝐴��������). In light of such a comparative study, we investigate, on the other hand, the third-orderPadé WKB method, which results in a more accurate process for quasinormal mode frequencies compared to the third-order standard WKB method. In this way,exploring the sparsity of Hawking radiation is another task that provides a better understanding of the behavior of the black hole solution. In this respect, the resultsshow that the black hole behaves like blackbody radiation for a sufficiently large entropy. And for 𝜉�������� = 𝐴�������� = 0, the relevant sparsity acts exactly like the Schwarzschildsparsity. These results provide an insight into the dynamics of black holes with a surrounding polytropic scalar field gas from the analysis of their quasinormalmodes, greybody factors, shadow behaviors, energy emission rate and sparsity process. Constraints on the associated BH parameters, derived from the Event HorizonTelescope observations of M87* and Sgr A*, indicate that this black hole model stands as a compelling candidate for representing astrophysical black holes. PB Elsevier SN 2214-4048 YR 2025 FD 2025 LK https://uvadoc.uva.es/handle/10324/76035 UL https://uvadoc.uva.es/handle/10324/76035 LA eng NO Journal of High Energy Astrophysics, 2025, vol. 47, p. 100389 NO Producción Científica DS UVaDOC RD 21-jun-2025