GUP corrected black holes with cloud of string

TL;DR

This paper studies the effects of quantum corrections via GUP on black holes with a string cloud, analyzing shadows, light deflection, quasinormal modes, and Hawking radiation to understand their astrophysical implications.

Contribution

It introduces a comprehensive analysis of GUP corrections on Schwarzschild string cloud black holes across multiple phenomena, including shadows, deflection, QNMs, and radiation, using various GUP frameworks.

Findings

String cloud increases greybody factor; linear GUP decreases it.

GUP parameters significantly affect quasinormal modes.

Linear GUP and string parameters have contrasting effects on observables.

Abstract

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.