John Wheeler said “Matter tells spacetime how to curve and spacetime tells matter how to move.”
So, when objects fall to Earth they travel along the spacetime curves that they and all the surrounding matter create.
For the Schwarzschild black hole model the matter is all contained at the singularity. This means that spacetime everywhere else within its gravitational field is in the vacuum state.
We have the matter in the singularity unable to move because all paths lead to it and the surrounding spacetime curved to the greatest extent possible.
Since the vacuum state is not purported to be zero though but just ‘the lowest possible energetic state’ does that mean all of spacetime is essentially matter also?
Therefore, I would ask if spacetime (being matter) falls towards the singularity?
If it does fall (at greater than c below the event horizon) is it not adding energy to the black hole - making it grow?