Probing Effective Loop Quantum Gravity on Weak Gravitational Lensing, Hawking Radiation and Bounding Greybody Factor by Black Holes

Abstract

In this paper, we study the weak deflection angle of black hole in effective loop quantum gravity using the geometrical technique used by Gibbons and Werner. We first derive the optical metric, calculate the Gaussian optical curvature, and then apply the Gauss-Bonnet theorem. We then also investigate the effect of plasma and dark matter mediums on the weak deflection angle. We show that increasing the impact of these two mediums grows the deflection angle. We also calculate the Hawking temperature via Gauss-Bonnet theorem. In addition, we determine the fermionic greybody bounds. Moreover, we discuss the graphical behaviour of the deflection angle and bounds on the greybody factor. Graphically, we observe that taking $0<A_{\lambda }<1$ angle ranges from negative values to maximum values and also attain maximum value for these values of $A_{\lambda }$ and for $A_{\lambda }\ge 1$ exponentially approaches to zero. Later, we graphically investigate that the greybody factor bound exhibits the convergent behaviour by converging to $1$. We also examine that the results obtained for the black hole in effective loop quantum gravity are reduced to the Schwarzschild black hole solutions when the dimensionless non-negative parameter is equal to zero $A_{\lambda }=0$.

23 pages, version accepted for publication in General Relativity and Gravitation volume

References in corpus (29)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Shadow of a black hole surrounded by dark matter
• Gravitational Lensing by Wormholes
• Gravitational Lensing by Rotating Wormholes
• Are loop quantum cosmos never singular?
• Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
• Black hole shadow in a general rotating spacetime obtained through Newman-Janis algorithm
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Bounding the greybody factors for Schwarzschild black holes
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
• Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
• Circular orbit of a particle and weak gravitational lensing
• Loop quantization of spherically symmetric midi-superspaces
• Self-dual Black Holes in LQG: Theory and Phenomenology
• Dark matter effect on the weak deflection angle by black holes at the center of Milky Way and M87 galaxies
• Light deflection by charged wormholes in Einstein-Maxwell-dilaton theory
• Greybody factor for black string in dRGT massive gravity
• Spinning Loop Black Holes
• Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory
• Effect of Non-linear Electrodynamics on Weak field deflection angle by Black Hole
• Bounding the Bogoliubov coefficients
• Weak gravitational lensing by two-power-law densities using the Gauss-Bonnet theorem
• Weak Gravitational lensing by Bocharova-Bronnikov-Melnikov-Bekenstein black holes using Gauss-bonnet theorem
• Weak deflection angle by Casimir wormhole using Gauss-bonnet theorem and its shadow
• Greybody factor for massive fermion emitted by a black hole in dRGT massive gravity theory
• Weak Deflection angle and Shadow by Tidal Charged Black Hole
• Global Hawking Temperature of Schwarzschild-de Sitter Spacetime: a Topological Approach