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

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• Probing Schwarzschild-like Black Holes in Metric-Affine Bumblebee Gravity with Accretion Disk, Deflection Angle, Greybody Bounds, and Neutrino Propagation
• Black hole surrounded by the pseudo-isothermal dark matter halo
• 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
• Conservation of distortion of gravitationally lensed images
• Quasinormal Modes and Bounding Greybody Factors of GUP-corrected Black Holes in Kalb-Ramond Gravity
• Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes
• The Effect of Quark-antiquark Confinement on the Deflection Angle by the NED Black Hole
• Nonlinearly charged black holes: Shadow and Thin-accretion disk
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• Signatures of the accelerating black holes with a cosmological constant from the ${\text{Sgr A}}^{\star }$ and ${\text{M87}}^{\star }$ shadow prospects
• Schwarzschild Black Hole Surrounded by Perfect Fluid Dark Matter in the presence of Quintessence Matter Field
• On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows
• Schwarzschild black hole surrounded by a cloud of strings in the background of perfect fluid dark matter
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• An Effective Model for the Quantum Schwarzschild Black Hole: Weak Deflection Angle, Quasinormal Modes and Bounding of Greybody Factor
• Motion of particles around a magnetically charged Euler-Heisenberg black hole with scalar hair and the Event Horizon Telescope
• Black Hole Shadows in Einstein-Bel-Robinson Gravity
• Black Holes in Lorentz-Violating Gravity: Thermodynamics, Geometry, and Particle Dynamics
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• Microlensing and event rate of static spherically symmetric wormhole
• Analytical study of particle geodesics around a scale-dependent de Sitter black hole
• Imprints of a gravitational wave through the weak field deflection of photons
• Asymptotically-Flat Black Hole Solutions in Symmergent Gravity