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A black dwarf does not burn anything. A black dwarf is the cooled remnant of a dead star.
A brown dwarf will never become a black dwarf. A black dwarf is what becomes of a white dwarf. This process takes hundreds of trillions of years.
The Black Dwarf was created in 1817.
The Black Dwarf ended in 1824.
Dwarf black stingray was created in 2008.