Wednesday, 5 June 2019

general relativity - Why must a singularity form inside a black hole?



What is the exact reason that normal matter can not exist within an event horizon?


I can understand how a super-dense object like a neutron star could accrete mass until its physical radius is less than its Schwarzschild radius and an event horizon forms around it.


But why can't the neutron star remain inside the event horizon as it was before the event horizon formed? Aside from the escape velocity at the surface reaching $c$, what actually changed?


Why must all matter within an event horizon undergo complete physical collapse to a point?




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