arXiv:2505.06382v1 Announce Type: new
Abstract: We consider corrections to the Schwarzschild black hole metric arising from exotic long-range forces within quantum field theory frameworks. Specifically, we analyze two models: the Feinberg-Sucher potential for massless neutrinos and Ferrer-Nowakowski potentials for boson-mediated interactions at finite temperatures, yielding metric corrections with $r^{-5}$ and $r^{-3}$ dependencies. Using analytic expansions around the Schwarzschild photon sphere, we find that attractive potential corrections enhance gravitational lensing, enlarging the photon sphere and shadow radius, while repulsive potential corrections induce gravitational screening, reducing these observables. Our results clearly illustrate how different quantum-derived corrections can produce measurable deviations from standard Schwarzschild predictions, providing robust theoretical benchmarks for future astrophysical observations.
Conclusions
The study of corrections to the Schwarzschild black hole metric from exotic long-range forces within quantum field theory frameworks has revealed significant deviations from standard predictions. Analyzing models such as the Feinberg-Sucher and Ferrer-Nowakowski potentials has shown that attractive potential corrections enhance gravitational lensing effects, while repulsive potential corrections induce gravitational screening.
These results highlight the importance of considering quantum-derived corrections in understanding the behavior of black holes and the effects they have on observable phenomena such as the photon sphere and shadow radius. By providing robust theoretical benchmarks, this research paves the way for future astrophysical observations to test and further refine our understanding of black hole dynamics.
Future Roadmap
- Continue to refine models and simulations that incorporate quantum-derived corrections to the Schwarzschild black hole metric.
- Conduct observational studies to test the predictions of these corrections and compare them to standard Schwarzschild predictions.
- Explore the implications of these corrections for other astrophysical phenomena, such as gravitational wave detection and black hole mergers.
- Collaborate with experimentalists and observational astronomers to develop new methods for detecting and measuring the effects of quantum-derived corrections on black hole dynamics.
Potential Challenges
- Obtaining high-quality observational data to accurately test the predictions of quantum-derived corrections.
- Developing sophisticated modeling techniques to account for the complex interplay of exotic long-range forces in black hole environments.
- Securing funding and resources for large-scale observational campaigns and computational simulations.
Opportunities on the Horizon
- Advancing our understanding of the fundamental nature of black holes and their interactions with quantum fields.
- Opening up new avenues for exploring the boundary between classical and quantum physics in extreme gravitational environments.
- Contributing to the development of more accurate and comprehensive models for describing black hole dynamics in the universe.