# Absorption, Scattering, Geodesics, Shadows and Lensing Phenomena of Black Holes in Effective Quantum Gravity

**Authors:** N. Heidari, A. A. Araújo Filho, R. C. Pantig, A. Övgün  
**arXiv:** [2410.08246](https://arxiv.org/abs/2410.08246)  
**Date:** 2024-10-10  
**Summary page:** https://www.summarizepaper.com/en/arxiv-id/2410.08246v1/

## Key points

- Study explores black hole signatures in effective quantum gravity framework
- Focus on two distinct models to provide insights into their characteristics and interpretations
- Analysis of light behavior including geodesics, photon spheres, and shadow formation around black holes
- Validation of findings through lower bounds for shadow radius using Event Horizon Telescope data
- Derivation of partial radial wave equation for scalar perturbations to examine absorption cross-sections across low and high-frequency regimes
- Evaluation of greybody factors and constraints for bosonic and fermionic fields within quantum gravity framework
- Detailed analysis on gravitational lensing phenomena encompassing weak and strong deflection limits

## Summary

The study "Absorption, Scattering, Geodesics, Shadows and Lensing Phenomena of Black Holes in Effective Quantum Gravity" by N. Heidari, A. A. Araújo Filho, R. C. Pantig, and A. Övgün delves into exploring black hole signatures within a framework of effective quantum gravity recently introduced in literature [1]. The research elucidates the general setup and focuses on two distinct models under scrutiny to provide insights into their characteristics and interpretations. It also examines the behavior of light within this context, analyzing geodesics, photon spheres, and shadow formation around black holes. To validate their findings, the researchers establish lower bounds for the shadow radius using observational data from the Event Horizon Telescope (EHT). They also derive the partial radial wave equation for scalar perturbations to comprehensively examine absorption cross-sections across low and high-frequency regimes. Additionally, the study evaluates greybody factors and establishes constraints for bosonic and fermionic fields within this quantum gravity framework. A detailed analysis is presented on gravitational lensing phenomena encompassing both weak and strong deflection limits. In instances of weak deflection regime assessments, the researchers employ the Gauss Bonnet theorem while resorting to Tsukamoto's approach for investigations concerning strong deflection limits. This comprehensive exploration sheds light on various intricate aspects surrounding black holes within an effective quantum gravity framework. It provides valuable insights into absorption mechanisms, scattering phenomena, geodesic trajectories, shadow formations as well as gravitational lensing effects associated with these enigmatic cosmic entities.