When can a burnt-out collapsing star rekindle itself?

A burnt-out collapsing star can rekindle itself if it has sufficient mass and conditions are right for nuclear fusion to resume. In the case of a massive star that has shed its outer layers, it might undergo a process called a supernova, which can trigger fusion in the core if the conditions allow. Additionally, in binary systems, a white dwarf can gain enough material from a companion star to reignite fusion. However, for most stars that exhaust their nuclear fuel, rekindling is not feasible.