Sorry, I meant the center is r=0 region of black hole. Some articles often states infinite density at r=0 due to zero volume the mass occupied, so infinite density is incorrect worded?
Thank you for respond to my question, I believe the volume formula you mentioned here is only correct for flat spacetime, my question is how to define the volume inside event horizon.
What is the definition of volume inside a black hole? we know the grr element of Schwarzschild metric is negative inside event horizon, so how to define a volume inside event horizon? if there is no definition of volume, is there the definition of density?