Spectrum of a radio pulse from an exploding black hole

Abstract

Black holes of mass ≲ 10^(11) kg may be able to radiate all of their rest mass in an essentially instantaneous explosion by the Hawking process provided that the number of available modes increases sufficiently rapidly with temperature. Rees has pointed out that should this happen, electron–positron pairs may form a significant fraction of the explosion products and that if the hole is surrounded by a typical interstellar magnetic field, the kinetic energy of the pairs may be efficiently transformed into radio waves. In this paper the spectrum of the observed radiation is calculated and conditions necessary for this to be detectable are further discussed.

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