Quasinormal modes and shadow of a Schwarzschild black hole with GUP

Abstract

We consider quantum corrections for the Schwarzschild black hole metric by using the generalized uncertainty principle (GUP) to investigate quasinormal modes, shadow and their relationship in the eikonal limit. We calculate the quasinormal frequencies of the quantum-corrected Schwarzschild black hole by using the sixth-order Wentzel-Kramers-Brillouin (WKB) approximation, and also perform a numerical analysis that confirms the results obtained from this approach. We also find that the shadow radius is nonzero even at very small mass limit for finite GUP parameter.

14 pages, 7 figures, matches version published in Annals of Physics

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• Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms
• Quasinormal modes and thermodynamic properties of GUP-corrected Schwarzschild black hole surrounded by quintessence
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• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects