Constraining the Generalized Uncertainty Principle Through Black Hole Shadow and Quasiperiodic Oscillations

Abstract

In this paper we study the effect of the Generalized Uncertainty Principle (GUP) on the shadow of GUP-modified Kerr black hole and the correspondence between the shadow radius and the real part of the quasinormal modes (QNMs). We find that the shadow curvature radius of the GUP-modfied Kerr black hole is bigger compared to the Kerr vacuum solution and increases linearly monotonically with the increase of the GUP parameter. We then investigate the characteristic points of intrinsic curvature of the shadow from a topological point of view to calculate the the angular size for these curvature radii of the shadow. To this end, we have used the EHT data for the M87* black hole to constrain the upper limits of the GUP parameter red and our result is $\beta <10^{95}$. Finally, we have explored the connection between the shadow radius and the scalar/electromagnetic/gravitational QNMs. The GUP-modified Kerr black hole is also used to provide perfect curve fitting of the particle oscillation upper and lower frequencies to the observed frequencies for three microquasars and to restrict the values of the correction parameter in the metric of the modified black hole to very reasonable bound $\beta <10^{77}$.

14 pages, 10 captioned figures, 4 tables

References in corpus (10)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Discreteness of Space from the Generalized Uncertainty Principle
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Connection between black-hole quasinormal modes and lensing in the strong deflection limit
• Quasinormal modes, quasiperiodic oscillations and shadow of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory
• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• Modelling the Sgr A* Black Hole Immersed in a Dark Matter Spike
• Shadow, quasinormal modes and quasiperiodic oscillations of rotating Kaluza-Klein black holes
• The geodesic motion of S2 and G2 as a test of the fermionic dark matter nature of our galactic core
• Black hole quasinormal modes in the era of LIGO

Cited by in corpus (12)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Tests of Loop Quantum Gravity from the Event Horizon Telescope Results of Sgr A${}^{\ast }$
• 30 years in: Quo vadis generalized uncertainty principle?
• Weak gravitational lensing and shadow of a GUP-modified Schwarzschild black hole in the presence of plasma
• Quasinormal modes-shadow correspondence for rotating regular black holes
• Trinity of black hole correspondences: Shadows, quasinormal modes, graybody factors, and cautionary remarks
• Constraints via the Event Horizon Telescope for Black Hole Solutions with Dark Matter under the Generalized Uncertainty Principle Minimal Length Scale Effect
• Particle Dynamics and Quasi-Periodic Oscillations in the GUP-Modified Schwarzschild Spacetime: Constraint Using Micro-Quasars Data
• Another look on the connections of Hubble tension with the Heisenberg Uncertainty Principle
• Muon accelerators -- Muon lifetime measurements as window to Planck scale physics
• Quantum tunneling driven by quintessence and the role of GUP
• Thermodynamics of Einstein-Gauss-Bonnet Black Holes under the Generalized Uncertainty Principle