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Formation of hot spots around small primordial black holes
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abstract
In this paper, we investigate the thermalization of Hawking radiation from primordial black holes (PBHs) in the early Universe, taking into account the interference effect on thermalization of high energy particles, known as Landau-Pomeranchuk-Migdal (LPM) effect. Small PBHs with masses $ \lesssim 10^9 \, \mathrm{g} $ completely evaporate before the big bang nucleosynthesis (BBN). The Hawking radiation emitted from these PBHs heats up the ambient plasma with temperature lower than the Hawking temperature, which results in a non-trivial temperature profile around the PBHs, namely a hot spot surrounding a PBH with a broken power-law tail. We find that the hot spot has a core with a radius much larger than the black hole horizon and its highest temperature is independent of the initial mass of the PBH such as $2 \times 10^{9} \, {\rm GeV} \times (\alpha/0.1)^{19/3}$, where $\alpha$ generically represents the fine-structure constants. We also briefly discuss the implications of the existence of the hot spot for phenomenology.
Forward citations
Cited by 2 Pith papers
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Revisiting PBH accretion, evaporation and their cosmological consequences
Relativistic accretion onto Kerr primordial black holes gives roughly 4.5x mass growth and fast spin-down, strengthening BBN bounds, lowering the survival mass to ~2.7e14 g, and erasing the high-frequency stochastic g...
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New bounds on Memory Burdened Primordial Black Holes from Big Bang Nucleosynthesis
Memory-burdened primordial black holes lighter than 10^9 grams are newly constrained by Big Bang nucleosynthesis, with a residual unconstrained window around 1-100 grams for suppression index k=2.
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