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A few issues raised here......
Firstly gravitons have never been observed in nature.
This is compounded by quantum gravity theory that predicts gravitons, but is a mathematical train wreck unable to predict the interactions between gravitational fields without giving absurd results.
If gravitons do exist, they are created when gravitational fields interact with each other. Since a BH's gravitational field extends beyond it's event horizon, gravitons would be created outside the horizon. So there is no issue with gravitons having to escape the horizon.
Secondly as Alex alluded to gravity is not a real force in GR but a fictitious force which is dependant on the observer's frame of reference.
All particles including photons move along geodesic paths in a gravitational field. This explains why the trajectories of photons appears to be bent in a gravitational field.
Furthermore all geodesic paths converge and disappear at the BH singularity.
Space and time appear to end at the singularity.
A photon or any other particle reaching the singularity is literally kaput if our understanding of BHs is correct.
Steven
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