# What is Hawking radiation and its relationship to the Stefan's Law?

Stefan's law is a law that describes the power radiated by a black hole in terms of its temperature. Specifically, the Stefan–Boltzmann law states that the total energy radiated per unit surface area of a black body across all wavelengths per unit time (also known as the black-body radiant exitance or emissive power), ${j}^{\setminus \star}$, is directly proportional to the fourth power of the black body's thermodynamic temperature T: