In our current understanding of quantum gravity, which is still a subject of active research and exploration, the concept of gravitons and their behavior in relation to black holes is not yet fully resolved.
Gravitons are hypothetical particles that are predicted by certain theories of quantum gravity. According to these theories, gravitons would be the quanta of the gravitational field, similar to how photons are the quanta of the electromagnetic field. However, it's important to note that the existence and properties of gravitons have not been experimentally confirmed.
When it comes to the behavior of gravitons near black holes, it becomes a complex and challenging problem due to the extreme conditions involved. Black holes are objects with such strong gravitational forces that even light cannot escape their gravitational pull. At the center of a black hole, there is a region called the singularity, where our current understanding of physics breaks down.
One of the challenges in studying the behavior of gravitons near a black hole is that the singularity is thought to be a region of infinite density and curvature, making it difficult to apply our current theories. The interplay between quantum mechanics and gravity in this extreme regime is an area of active research, and many physicists believe that a theory of quantum gravity will be required to fully understand the behavior of gravitons near a black hole singularity.
To summarize, the behavior of gravitons near black holes and their interaction with the singularity is still an open question. The quest for a theory of quantum gravity aims to provide a framework that can address such fundamental questions and reconcile our understanding of gravity with the principles of quantum mechanics.