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Effect of the Memory Burden on Primordial Black Hole Hot Spots

2025/11/21 by Nathaniel Levy, Levy, Nathaniel, Lucien Heurtier +1
Physics and Astronomy · #Cosmology and Gravitation Theories #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.2511.17329

Abstract

When primordial black holes (PBHs) evaporate, they deposit energy in the surrounding plasma, leading to temperature gradients, or hot spots, that evolve during the evaporation process. Motivated by recent studies suggesting that a memory burden may slow down PBH evaporation, we explore how a suppression of the evaporation rate affects the morphology of such hot spots. We include such a suppression in the form of transfer functions and derive general formulas for the hot-spot core temperature and radius. Applying our results to illustrative scenarios, we find that in the vanilla memory burden scenario in which the evaporation rate and Hawking temperature are exactly constant, the hot-spot temperature is substantially lowered. Nonetheless, we show that alternative scenarios may lead to sizeable hot spots with morphologies that differ significantly from the semi-classical case.

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