The Dark Dimension, the Swampland, and the Dark Matter Fraction Composed of Primordial Near-Extremal Black Holes
Physical Review D(2024)
摘要
In a recent publication we studied the decay rate of primordial black holes
perceiving the dark dimension, an innovative five-dimensional (5D) scenario
that has a compact space with characteristic length-scale in the micron range.
We demonstrated that the rate of Hawking radiation of 5D black holes slows down
compared to 4D black holes of the same mass. Armed with our findings we showed
that for a species scale of O (10^9 GeV), an all-dark-matter
interpretation in terms of primordial black holes should be feasible for black
hole masses in the range 10^14≲ M/ g≲ 10^21. As a
natural outgrowth of our recent study, herein we calculate the Hawking
evaporation of near-extremal 5D black holes. Using generic entropy arguments we
demonstrate that Hawking evaporation of higher-dimensional near-extremal black
holes proceeds at a slower rate than the corresponding Schwarzschild black
holes of the same mass. Assisted by this result we show that if there were 5D
primordial near-extremal black holes in nature, then a PBH all-dark-matter
interpretation would be possible in the mass range 10^7√(β)≲
M/ g≲ 10^21, where β is a parameter that controls the
difference between mass and charge of the associated near-extremal black hole.
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