Black Dwarf's are theoretical. They are the end point of a White Dwarf star, after it has finished cooling down. The universe is not old enough for one to have completely cooled into a Black Dwarf.
See related question.
No, a dead star is different from a black dwarf. A black dwarf is a type of stellar remnant, but not all stars become black dwarfs. When a star dies it will leave behind a white dwarf, a neutron star, or a black dwarf as a remnant depending on its mass. Given enough time a white dwarf will eventually cool to a black dwarf. The universe is not old enough for this cooling to have happened yet.
No, the two things are quite different.
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.
Black Dwarf Hornbill was created in 1861.
The Black Dwarf - personage - was born in 1740.
The Black Dwarf - personage - died in 1811.
Dwarf black stingray was created in 2008.
Different kinds of stars become different different stuffs......
Dwarf hamsters are different from teddy's because they are smaller, they are shorter, rounder, and most are gray or tan, whereas teddys are black, white, black and white, or tan and white.