arXiv:2410.08246v1 Announce Type: new
Abstract: In this work, we investigate the signatures of black holes within an effective quantum gravity framework recently proposed in the literature [1] . We begin by outlining the general setup, highlighting the two distinct models under consideration. This includes a discussion of their general properties, interpretations, and the structure of the event and inner horizons. We then examine the behavior of light in this context, analyzing geodesics, the photon sphere, and shadow formation. To validate our results, we estimate lower bounds for the shadow radius based on observational data from the Event Horizon Telescope (EHT). Subsequently, we derive the partial radial wave equation for scalar perturbations, enabling us to study the absorption cross section in both low and high frequency regimes. Additionally, we evaluate the greybody factors and provide bounds for both bosonic and fermionic fields. Finally, we present a detailed analysis of gravitational lensing in both the weak and strong deflection limits. For the weak deflection regime, the Gauss Bonnet theorem is employed, while for the strong deflection limit, the Tsukamoto approach is utilized.
Future Roadmap
Introduction
In this work, we explore the signatures of black holes within an effective quantum gravity framework. We present two distinct models and discuss their general properties, interpretations, and the structure of the event and inner horizons.
Light Behavior
We analyze the behavior of light in the context of these black hole models. This includes studying geodesics, the photon sphere, and the formation of shadows. To validate our findings, we estimate lower bounds for the shadow radius using observational data from the Event Horizon Telescope (EHT).
Scalar Perturbations
We derive the partial radial wave equation for scalar perturbations, allowing us to investigate the absorption cross section in both low and high frequency regimes. We also provide bounds for the greybody factors of bosonic and fermionic fields.
Gravitational Lensing
We present a detailed analysis of gravitational lensing in both the weak and strong deflection limits. For the weak deflection regime, we utilize the Gauss Bonnet theorem, while for the strong deflection limit, we employ the Tsukamoto approach.
Conclusion
By examining the signatures of black holes within this effective quantum gravity framework, we have gained insights into the behavior of light, scalar perturbations, and gravitational lensing. Our findings provide a foundation for further research in theoretical physics and can contribute to our understanding of black holes in the future.
Potential Challenges
- Obtaining accurate observational data for validating the shadow radius estimates
- Navigating the complexities of the partial radial wave equation for scalar perturbations
- Addressing the limitations and assumptions of the effective quantum gravity framework
- Dealing with the mathematical intricacies involved in the analysis of gravitational lensing
Potential Opportunities
- Advancing our knowledge of black hole physics through the study of their signatures
- Contributing to the development of an effective quantum gravity framework
- Expanding our understanding of light behavior and gravitational lensing in extreme gravitational environments
- Exploring the implications of the greybody factors for different types of fields