Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms

Abstract

Motivated by the recent work about the Extended Uncertainty Principle (EUP) black holes \cite{Mureika:2018gxl}, we present in this study its extension called the Generalized Extended Uncertainty Principle (GEUP) black holes. In particular, we investigated the GEUP effects on astrophysical and micro-black holes. First, we derive the expression for the shadow radius to investigate its behavior as perceived by a static observer located near and far from the black hole. Constraints to the large fundamental length scale $L\ast$ up to $2\sigma$ level were also found using the EHT data: for Sgr. A*, $L\ast =5.716\text{x}10^{10}$ m, while for M87*, $L\ast =3.264\text{x}10^{13}$ m. Under the GEUP effect, the value of the shadow radius behaves the same way as the Schwarzschild case due to a static observer, and the effect only emerges if the mass of the black hole $M$ is around the order of magnitude of $L_{\ast }$ (or $l_{\text{Pl}}$). In addition, the GEUP effect increases the shadow radius for astrophysical black holes, but the reverse happens for micro-black holes. We also explored GEUP effects to the weak and strong deflection angles as an alternative analysis. For both realms, a time-like particle gives a higher value for the weak deflection angle. Similar to the shadow, the deviation is seen when the values of $L_{\ast }$ and $M$ are close. The strong deflection angle gives more sensitivity to GEUP deviation at smaller masses in the astrophysical scenario. However, the weak deflection angle is a better probe in the micro world.

9 pages, 7 figures

References in corpus (22)

• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Natural extension of the Generalised Uncertainty Principle
• Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
• QED Effect on Black Hole Shadow
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• Circular orbit of a particle and weak gravitational lensing
• Testing dynamical torsion effects on the charged black hole's shadow, deflection angle and greybody with M87* and Sgr. A* from EHT
• Shadow and weak deflection angle of extended uncertainty principle black hole surrounded with dark matter
• Quasinormal modes and shadow of a Schwarzschild black hole with GUP
• Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity
• Strong Gravitational Lensing by Schwarzschild Black Holes
• Gravitational lensing by a black hole in effective loop quantum gravity
• Hubble tension bounds the GUP and EUP parameters
• Quasinormal modes and thermodynamic properties of GUP-corrected Schwarzschild black hole surrounded by quintessence
• EUP-corrected thermodynamics of BTZ black hole
• Constraining the Generalized Uncertainty Principle with the light twisted by rotating black holes and M87*
• Quantum corrections to the quasinormal modes of the Schwarzschild black hole
• A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas
• Investigating bounds on the extended uncertainty principle metric through astrophysical tests
• Effect of quantum deformed black hole on BH shadow in two-dimensional Dilaton gravity
• Effects of Extended Uncertainty Principle on the Relativistic Coulomb Potential

Cited by in corpus (22)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• Probing a nonlinear electrodynamics black hole with thin accretion disk, shadow and deflection angle with M87* and Sgr A* from EHT
• Investigating the Connection between Generalized Uncertainty Principle and Asymptotically Safe Gravity in Black Hole Signatures through Shadow and Quasinormal Modes
• Testing Symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87${}^{\ast }$ and Sgr. A${}^{\ast }$ results
• 4D scale-dependent Schwarzschild-AdS/dS black holes: study of shadow and weak deflection angle and greybody bounding
• Constraints on charged Symmergent black hole from shadow and lensing
• Shadow and deflection angle of asymptotic, magnetically-charged, non-singular black hole
• Shadow and greybody bounding of a regular scale-dependent black hole solution
• Nonlinearly charged black holes: Shadow and Thin-accretion disk
• Quasinormal Modes and Optical Properties of 4-D black holes in Einstein Power-Yang-Mills Gravity
• A Critique on Some Aspects of GUP Effective Metric
• Traces of quantum gravitational correction at third-order curvature through the black hole shadow and particle deflection at the weak field limit
• Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope
• Motion of particles around a magnetically charged Euler-Heisenberg black hole with scalar hair and the Event Horizon Telescope
• Analyzing the effect of higher dimensions on the black hole silhouette, deflection angles, and PINN approximated quasinormal modes
• Imprints of a gravitational wave through the weak field deflection of photons
• Asymptotically-Flat Black Hole Solutions in Symmergent Gravity
• Combining the Generalized and Extended Uncertainty Principles
• Finite geometry and black hole stability: Embedding discrete space into classical manifolds
• Probing Quantum Gravity in Stellar Spacetimes: Phenomenological Insights
• Phenomenology of Schwarzschild-like Black Holes with a Generalized Compton Wavelength