4D scale-dependent Schwarzschild-AdS/dS black holes: study of shadow and weak deflection angle and greybody bounding

Abstract

We investigate the shadow, deflection angle, and the greybody bounding of a Schwarzschild-AdS/dS black hole in scale-dependent gravity. We used the EHT data to constrain the parameter $\epsilon$. We have found that within the $1\sigma$ level of uncertainty, $\epsilon M_0$ ranges at $10^{-11}-10^{-16}$ orders of magnitude for Sgr. A*, and $10^{-11}-10^{-17}$ for M87*. Using these parameters, we explored how the shadow radius behaves as perceived by a static observer. Using the known parameters for Sgr. A* and M87*, we found different shadow cast behavior near the cosmological horizon even if the same scaling parameters were used. We explored the deflection angle $\hat{\alpha }$ in the weak field limit for both massive and null particles, in addition to the effect of finite distances using the non-asymptotically flat version of the Gauss-Bonnet theorem. We have found that the $\hat{\alpha }$ strongly depends on massive particles. Tests on $\epsilon$'s effect using Sgr. A* is only along points of low impact parameters. For M87*, only the scaled BH in AdS type can be tested at high impact parameters at the expense of very low value for $\hat{\alpha }$. We study the rigorous bound on the greybody factor for scalar field emitted from black holes in the theory and show the bound on the transmission probability. The effects of the scale-dependent gravity on the greybody factors are investigated, and the results indicate that the bound on the greybody factor in this case is less than the bound for the Schwarzschild black hole.

16 pages, 7 figures

References in corpus (38)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Exact evolution equation for the effective potential
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Black Hole Shadows, Photon Rings, and Lensing Rings
• Relativistic images of Schwarzschild black hole lensing
• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Shadow of five-dimensional rotating Myers-Perry black hole
• Gravitational Lensing by Rotating Wormholes
• Temporal contribution to gravitational WKB-like calculations
• 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
• 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
• When is g_{tt} g_{rr} = -1?
• No-Hair Theorem in the Wake of Event Horizon Telescope
• Dynamical renormalization of black-hole spacetimes
• Circular orbit of a particle and weak gravitational lensing
• Dark matter effect on the weak deflection angle by black holes at the center of Milky Way and M87 galaxies
• Greybody factor for black string in dRGT massive gravity
• Weak deflection angle of Kazakov-Solodukhin black hole in plasma medium using Gauss-Bonnet theorem and its greybody bonding
• Greybody Factors for Scalar Fields emitted by a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
• 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
• Weak deflection angle of black-bounce traversable wormholes using Gauss-Bonnet theorem in the dark matter medium
• Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution
• Scale Setting for Self-consistent Backgrounds
• Effect of the magnetic charge on weak deflection angle and greybody bound of the black hole in Einstein-Gauss-Bonnet gravity
• Quasinormal spectra of scale-dependent Schwarzschild-de Sitter black holes
• Interior solutions of relativistic stars in the scale-dependent scenario
• Interior solutions of relativistic stars with anisotropic matter in scale-dependent gravity
• Greybody factors for a minimally coupled massless scalar field in Einstein-Born-Infeld dilaton spacetime
• Weak Deflection Angle and Greybody Bound of Magnetized Regular Black Hole
• Growth of structures and redshift-space distortion data in scale-dependent gravity
• Thermodynamics of scale-dependent Friedmann equations
• Scale-dependent slowly rotating black holes with flat horizon structure

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• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor