Using the Stefan-Boltzmann law, the area of a black hole as a function of mass, and the (Hawking) temperature formula, d

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answerhappygod
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Using the Stefan-Boltzmann law, the area of a black hole as a function of mass, and the (Hawking) temperature formula, d

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Using the Stefan-Boltzmann law, the area of a black hole as a
function of mass, and the (Hawking) temperature formula, derive the
differential equation for the evolution of mass as a function of
time.
(a) What is the lifetime of a black hole with 3 solar
masses?
(b) What are the consequences of this process for supermassive
black holes of billions of solar masses?
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