What core mass threshold results in a Black Hole after a massive star supernova?

Answer

Greater than roughly $3 M_{\odot}$ (Tolman-Oppenheimer-Volkoff limit)

For very high-mass stars (greater than $8 M_{\odot}$), the death process involves a catastrophic gravitational collapse after iron fusion ceases, leading to a supernova explosion. What remains after this explosion determines the final remnant. If the remaining core mass is stabilized between about $1.4$ and $3$ solar masses, it forms a neutron star, halted by quantum mechanical effects. However, if the remaining core mass exceeds roughly $3 M_{\odot}$, this mass surpasses the Tolman-Oppenheimer-Volkoff limit. At this point, gravity overwhelms all restorative forces, causing the core to collapse completely into a black hole, defined by an event horizon.

What core mass threshold results in a Black Hole after a massive star supernova?
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