The concept of space expanding is typically associated with the expansion of the universe on cosmological scales. However, inside a black hole, the situation is quite different.
According to our current understanding of black holes based on general relativity, a black hole is a region of spacetime from which nothing, not even light, can escape. The gravitational pull of a black hole is so intense that it creates a gravitational singularity at its center, a point of infinite density and curvature.
As an object approaches the event horizon of a black hole (the boundary beyond which escape is impossible), the gravitational effects become increasingly significant. Spacetime near the event horizon is severely distorted, leading to extreme gravitational time dilation and stretching of spacetime.
Inside the black hole, as we approach the singularity, our current understanding of physics breaks down. The laws of general relativity, which describe the behavior of spacetime, cannot fully explain what happens at the singularity. Quantum effects are expected to become important, and a theory of quantum gravity is required to understand the dynamics in this extreme regime.
Since our current knowledge is incomplete, it is difficult to make definitive statements about what happens to space inside a black hole. The concept of "space expanding" may not apply in the conventional sense within the confines of a black hole. The region inside a black hole is still an area of active research and remains a topic of scientific investigation and theoretical speculation.