https://doi.org/10.1140/epjc/s10052-024-13059-z
Regular Article - Theoretical Physics
GUP corrected black holes with cloud of string
1
Department of Physics, Al-Hussein Bin Talal University, P.O. Box 20, 71111, Ma’an, Jordan
2
Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology, 310023, Hangzhou, China
3
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
4
University of Tashkent for Applied Sciences, Str. Gavhar 1, 100149, Tashkent, Uzbekistan
5
Western Caspian University, AZ1001, Baku, Azerbaijan
6
Department of Physics, Chandernagore College, Chandernagore, Hooghly, West Bengal, India
7
Department of Physics, Durgapur Government College, Durgapur, 713214, Burdwan, West Bengal, India
Received:
5
May
2024
Accepted:
19
June
2024
Published online:
23
July
2024
We investigate shadows, deflection angle, quasinormal modes (QNMs), and sparsity of Hawking radiation of the Schwarzschild string cloud black hole’s solution after applying quantum corrections required by the Generalised Uncertainty Principle (GUP). First, we explore the shadow’s behaviour in the presence of a string cloud using three alternative GUP frameworks: linear quadratic GUP (LQGUP), quadratic GUP (QGUP), and linear GUP. We then used the weak field limit approach to determine the effect of the string cloud and GUP parameters on the light deflection angle, with computation based on the Gauss–Bonnet theorem. Next, to compute the quasinormal modes of Schwarzschild string clouds incorporating quantum correction with GUP, we determine the effective potentials generated by perturbing scalar, electromagnetic and fermionic fields, using the sixth-order WKB approach in conjunction with the appropriate numerical analysis. Our investigation indicates that string and linear GUP parameters have distinct and different effects on QNMs. We find that the greybody factor increases due to the presence of string cloud while the linear GUP parameter shows the opposite. We then examine the radiation spectrum and sparsity in the GUP corrected black hole with the cloud of string framework, which provides additional information about the thermal radiation released by black holes. Finally, our inquiries reveal that the influence of the string parameter and the quadratic GUP parameter on various astrophysical observables is comparable, however the impact of the linear GUP parameter is opposite.
© The Author(s) 2024
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