What happens to objects massive enough to fuse deuterium once their deuterium supply is exhausted?

Answer

They rely solely on Kelvin-Helmholtz contraction to radiate heat

Since deuterium is a rare isotope, its fusion energy source is quickly depleted (in $10^7$ to $10^8$ years). After this point, these objects must rely entirely on the less energetic gravitational contraction mechanism to continue radiating any residual heat.

What happens to objects massive enough to fuse deuterium once their deuterium supply is exhausted?
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