Influence of Quantum Correction on Kerr Black Hole in Effective Loop Quantum Gravity via Shadows and EHT Results

Abstract

Recently, a study on shadow of quantum corrected Schwarzschild black hole in loop quantum gravity appeared in [Ye et al., Phys. Lett. B 851, 138566, (2024)] assuming a fixed value of Barbero-Immirzi parameter $\gamma$. Following this approach, we considered its rotating counterpart being a quantum corrected Kerr black hole in effective loop quantum gravity and studied its deviation from Kerr black hole for a fixed value of $\gamma$. We proposed and proved a theorem describing the location of unstable circular null orbits for all such Kerr-like metrics. The deviation between the shadows of the Kerr and quantum corrected Kerr black holes has also been studied, and parameters are constrained by comparison with the EHT results for M87* and Sgr A* to precisely probe the quantity of deviation due to quantum correction. Lastly, we immersed the quantum corrected Kerr black hole in an inhomogeneous plasma and studied its impact on the shadow size. We found that the unstable null orbits for the quantum corrected Kerr black hole are always smaller than the unstable null orbits for Kerr black hole. The effect of Barbero-Immirzi parameter allows the quantum corrected Kerr black hole to mimic Sgr A* with a higher probability than the Kerr black hole. However, the quantum corrected Kerr black hole does not mimic M87*. The plasma reduces the size of the shadow of quantum corrected black hole, and the plasma parameter in the case II is more sensitive than that in case I.

12 pages, 5 figures

References in corpus (74)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Background Independent Quantum Gravity: A Status Report
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• Quantum Nature of the Big Bang: Improved dynamics
• Viewing the Shadow of the Black Hole at the Galactic Center
• Quantum Nature of the Big Bang
• Absence of Singularity in Loop Quantum Cosmology
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Black hole entropy in Loop Quantum Gravity
• First M87 Event Horizon Telescope Results. VIII. Magnetic Field Structure near The Event Horizon
• The Spin Foam Approach to Quantum Gravity
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Shadows and strong gravitational lensing: a brief review
• Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image
• Measurement of the Kerr Spin Parameter by Observation of a Compact Object's Shadow
• Quantum geometry and the Schwarzschild singularity
• Black hole entropy from Quantum Geometry
• Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant
• Influence of a plasma on the shadow of a spherically symmetric black hole
• Shadow of a rotating braneworld black hole
• The Current Ability to Test Theories of Gravity with Black Hole Shadows
• Quantum Transfiguration of Kruskal Black Holes
• Fundamental Structure of Loop Quantum Gravity
• Rotating black holes in $4D$ Einstein-Gauss-Bonnet gravity and its shadow
• Shadow of five-dimensional rotating Myers-Perry black hole
• Shadow of a Kaluza-Klein rotating dilaton black hole
• Quantum Extension of the Kruskal Space-time
• Loop Quantum Dynamics of the Schwarzschild Interior
• Optical properties of black hole in the presence of plasma: shadow
• A coordinate-independent characterization of a black hole shadow
• Black Hole Parameter Estimation from Its Shadow
• Space-Time Structure of Loop Quantum Black Hole
• Light propagation in a plasma on Kerr spacetime: Separation of the Hamilton-Jacobi equation and calculation of the shadow
• Quantum Oppenheimer-Snyder and Swiss Cheese models
• Loop quantization of the Schwarzschild interior revisited
• Probing a nonlinear electrodynamics black hole with thin accretion disk, shadow and deflection angle with M87* and Sgr A* from EHT
• Alternative quantization of the Hamiltonian in loop quantum cosmology II: Including the Lorentz term
• Tests of Loop Quantum Gravity from the Event Horizon Telescope Results of Sgr A${}^{\ast }$
• A black hole mass threshold from non-singular quantum gravitational collapse
• Gravitational Collapse: The Story so far
• Shadow analysis for rotating black holes in the presence of plasma for an expanding universe
• Testing dynamical torsion effects on the charged black hole's shadow, deflection angle and greybody with M87* and Sgr. A* from EHT
• Testing Horndeski Gravity from EHT Observational Results for Rotating Black Holes
• Analytical calculation of black hole spin using deformation of the shadow
• Horizon structure of rotating Einstein-Born-Infeld black holes and shadow
• Non-marginal LTB-like models with inverse triad corrections from loop quantum gravity
• Emergent de Sitter epoch of the quantum Cosmos
• Quantum gravity of dust collapse: shock waves from black holes
• Shadow and quasinormal modes of the Kerr-Newman-Kiselev-Letelier black hole
• 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
• Revisiting the shadow of braneworld black holes
• Loop quantum Schwarzschild interior and black hole remnant
• Kerr black holes with synchronised Proca hair: lensing, shadows and EHT constraints
• Investigating Loop Quantum Gravity with EHT Observational Effects of Rotating Black holes
• Black Holes and Covariance in Effective Quantum Gravity
• Hunting extra dimensions in the shadow of Sgr A*
• Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
• Asymptotically locally flat and AdS higher-dimensional black holes of Einstein-Horndeski-Maxwell gravity in the light of EHT observations: shadow behavior and deflection angle
• Study of circular geodesics and shadow of rotating charged black hole surrounded by perfect fluid dark matter immersed in plasma
• Shadows of Kerr black holes with a Gaussian-distributed plasma in the polar direction
• Black holes in dRGT massive gravity with the signature of EHT observations of M87*
• Non-singular quantum gravitational dynamics of an LTB dust shell model: the role of quantization prescriptions
• Causal Structure of a recent Loop Quantum Gravity Black Hole Collapse Model
• Testing Born-Infeld $f(T)$ teleparallel gravity through Sgr A${}^{\star }$ observations
• Shadows of rotating black holes in plasma environments with aberration effects
• The Lensing Effect of Quantum-Corrected Black Hole and Parameter Constraints from EHT Observations
• Kerr-Newman Black Holes in Weyl-Cartan Theory: Shadows and EHT constraints
• Note on fundamental physics tests from black hole imaging: Comment on "Hunting for extra dimensions in the shadow of Sagittarius A${}^{\ast }$"
• Influence of plasma on the optical appearance of spinning black hole in Kalb-Ramond gravity and its Existence around M87* and Sgr A*
• Inequivalence of mimetic gravity with models of loop quantum gravity
• Strong Gravitational Lensing by Rotating Quantum-Corrected Black Holes: Insights and Constraints from EHT Observations of M87* and Sgr A*