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 $\beta <10^{77}$.

arXiv comment14 pages, 10 captioned figures, 4 tables

References in corpus (33)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Hot Accretion Flows Around Black Holes
• A Generalized Uncertainty Principle in Quantum Gravity
• Geodesic stability, Lyapunov exponents and quasinormal modes
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Discreteness of Space from the Generalized Uncertainty Principle
• Relativistic redshift of the star S0-2 orbiting the Galactic center supermassive black hole
• Estimating the Spin of Stellar-Mass Black Holes via Spectral Fitting of the X-ray Continuum
• The Structure and Dynamics of the Sub-parsec Scale Jet in M87 Based on 50 VLBA Observations Over 17 Years at 43 GHz
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Measuring the Spins of Accreting Black Holes
• Non-linear resonance in nearly geodesic motion in low-mass X-ray binaries
• Connection between black-hole quasinormal modes and lensing in the strong deflection limit
• Black Hole Remnants and Dark Matter
• Shadow and Quasinormal Modes of a Rotating Loop Quantum Black Hole
• Quasinormal Modes of Black Holes Surrounded by Dark Matter and Their Connection with the Shadow Radius
• 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
• Quantum Corrected Black Holes from String T-Duality
• Modelling the Sgr A* Black Hole Immersed in a Dark Matter Spike
• Analytical correspondence between shadow radius and black hole quasinormal frequencies
• Shadow, quasinormal modes and quasiperiodic oscillations of rotating Kaluza-Klein black holes
• Extended Uncertainty Principle Black Holes
• The Casimir Effect in Minimal Length Theories based on a Generalized Uncertainity Principle
• Intrinsic curvature and topology of shadows in Kerr spacetime
• GUP parameter and black hole temperature
• The geodesic motion of S2 and G2 as a test of the fermionic dark matter nature of our galactic core
• Upper bound on the GUP parameter using the black hole shadow
• Twin-peak quasiperiodic oscillations as an internal resonance
• Black hole quasinormal modes in the era of LIGO
• Accreting Black Holes
• Epicyclic oscillations of charged particles in stationary solutions immersed in a magnetic field with application to the Kerr--Newman black hole
• Black hole remnant in asymptotic Anti-de Sitter space

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