Greg Egan on Nostr: nprofile1q…ufa4k The metric certainly stays differentiable. The blowups in the ...

nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqknzsux7p6lzwzdedp3m8c3c92z0swzc0xyy5glvse58txj5e9ztqaufa4k (nprofile…fa4k) The metric certainly stays differentiable. The blowups in the Riemann tensor (in some mixes of upper/lower indices, but not others) at r = 0 is due to 𝑔ₜₜ going to zero. Of course 𝑔ₜₜ goes to zero at the event horizon in the first Schwarzschild metric without anything physically pathological happening there, but in this case the pressure at the centre is objectively unbounded as 𝑟−>0 and switching to different coordinates can’t change that.