B Black hole at the beginning of time

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The discussion centers on why the universe did not collapse into a black hole at the beginning, despite all matter being condensed. It emphasizes that the Big Bang did not originate from a single point but occurred uniformly throughout space, preventing the formation of a gravitational gradient necessary for a black hole. The early universe was filled with expanding matter rather than a static region surrounded by vacuum. Misinterpretations of the Big Bang concept are common, leading to confusion about its nature. Overall, the early universe's isotropic and homogeneous conditions are crucial in understanding its evolution.
  • #61
PeterDonis said:
Is impossible as you state it here since, as @vanhees71 has correctly pointed out, isotropy about only one point does not imply homogeneity.
It's clear from the context that "isotropic" means isotropic at every point. That must be the default terminology in any case.
 
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  • #62
Well, it's obvious that isotropy around only one point is not enough. It's however also pretty intuitive that isotropy around all points implies homogeneity (but not the other way, i.e., homogeneity does not imply isotropy around any point). Weinberg's definitions and proofs in Gravitation and Cosmology (Chpt. 13) is also not too difficult to follow.
 
  • #63
PeterDonis said:
No global chart in any curved spacetime can be inertial.
Yes that's is true in general, in the particular case of chart described in #56 the reason behind it should be that pointed out there, I believe.
 
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