What condition must exist for a collapsed stellar core to become a black hole?
Answer
The core mass must exceed the limit where even neutrons can resist gravity
A black hole represents the most extreme end-state of stellar evolution. When the remaining core of a high-mass star exceeds the limit that allows for the formation of a neutron star (approximately 3 solar masses), the inward pull of gravity is so intense that it overcomes the resistance of neutrons. The core collapses indefinitely, creating a region of spacetime where gravity is so strong that no matter or light can escape its pull.

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