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Abstract

This work investigates the spectra of coloured particles radiated from Schwarzschild black holes and Kerr black holes as their mass decrease from ~1013 g to Planck mass. The emission rate formulas in terms of black hole mass, temperature, entropy, and spin are derived. The variation of spectra with time, and black hole parameters such as mass, temperature, entropy, and spin are obtained and discussed. During the last stages of black hole evaporation, black hole loses its mass at a drastic rate. When the orders of magnitude of particles were disregarded, the spectrum of quarks and gluons emitted from the 1013 g black hole over 3171 millennia was emitted from the 108 g black hole within 2.5 × 10-4 s. It only took 3.5 × 10-25 s for a Schwarzschild black hole to reduce its mass from 10.00 g to 2.55 × 10-5 g. As the black hole reaches the end of its lifetime, the emission rates of the high energetic particles gradually recede and reach the limit of zero as Planck mass is reached. By the time the black hole begins to emit coloured particles its temperature is ~1012 K, but when it reaches the Planck mass its temperature has reached closer to the Planck temperature. As Planck mass is reached, the entropy of the black hole gradually decreases and gets very close to zero.

Keywords: Coloured particles, Hawking radiation, black hole mass, black hole temperature, black hole entropy, black hole spin