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can SMBH "squeeze stars" to explode ?

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GR says

 

the "simple geometrical essence of Einstein's equation" is...

 

Take any small ball of initially comoving test particles in free fall. As time passes, the rate at which the ball begins to shrink in volume is proportional to the energy density at the center of the ball [plus the pressure].

A "ball of particles" vaguely resembles a star. Er go, as stars plunge in towards SMBH, at the centers of galaxies, they would plausibly become tidally compressed ? If so, then such tidal compression could possibly "squeeze the star" so as to induce faster fusion, and spark a Nova-like or Supernova-like explosion ?

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