Shadow and quasinormal modes of GUP corrected Grumiller black holes
Al-Badawi A. Gogoi D.J. Sekhmani Y. Boshkayev K.
June 2025Elsevier B.V.
Nuclear Physics B
2025#1015
This study investigates the shadows, scalar perturbations, and quasinormal modes (QNMs) of Grumiller black holes (BHs) within the framework of the Generalized Uncertainty Principle (GUP). The GUP introduces quantum corrections that are most significant near the event horizon, while the Rindler acceleration parameter predominantly influences the spacetime at larger distances. We derive analytical expressions for the photon sphere and shadow radii, showing that quantum corrections cause both to decrease. Additionally, we explore the dynamics of massless scalar perturbations and compute the quasinormal frequencies using the higher-order WKB approximation, supported by time-domain analysis. Our results indicate that while the Rindler acceleration significantly impacts the oscillation frequency and damping rate of gravitational wave (GW) ring downs, the effect of the GUP parameters is relatively small. This work clarifies how these distinct influences operate in different regions of the black hole spacetime and provides valuable insights into the quantum-corrected features of black holes, including their shadows and QNMs.
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Department of Physics, Al-Hussein Bin Talal University, Maan, 71111, Jordan
Department of Physics, Moran College, Charaideo, Assam, Moranhat, 785670, India
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan
Theoretical Physics Division, Centre for Atmospheric Studies, Dibrugarh University, Assam, Dibrugarh, 786004, India
Center for Theoretical Physics, Khazar University, 41 Mehseti Street, Baku, AZ1096, Azerbaijan
Centre for Research Impact & Outcome, Chitkara University Institute of Engineering and Technology, Chitkara University, Punjab, Rajpura, 140401, India
Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
Institute of Nuclear Physics, Ibragimova, 1, Almaty, 050032, Kazakhstan
Kazakh-British Technical University, Tole bi str., 59, Almaty, 050000, Kazakhstan
Department of Physics
Department of Physics
Research Center of Astrophysics and Cosmology
Theoretical Physics Division
Center for Theoretical Physics
Centre for Research Impact & Outcome
Al-Farabi Kazakh National University
Institute of Nuclear Physics
Kazakh-British Technical University
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