The entropy of a black hole is

where A is the surface area of the event horizon,k is Boltzmann's constant,c is the speed of light,G is the gravitational constant,and
is h-bar.For a Schwarzschild black hole,

where M is the mass of the black hole, so


(1)
where A is the surface area of the event horizon,k is Boltzmann's constant,c is the speed of light,G is the gravitational constant,and


(2)
where M is the mass of the black hole, so

(3)
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