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Quantum vacuum effects on the formation of black holes

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Summary: This study focuses on the emission of charged scalar particles from a Schwarzschild black hole, showing that these particles can interact with each other through pair annihilation and produce photons, which in turn correct the spectrum of directly emitted photons. By solving the field equations using the Wentzel-Kramers-Brillouin approximation, the pair annihilation rate is considered for the first-order case, resulting in a correction of the order of e(2). It is found that most interactions occur near the event horizon of the black hole, but the number of interactions is not sufficient to make a noticeable modification in the radiation spectrum of particles.

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