Feasibility of Primordial Black Hole Remnants as Dark Matter in View of Hawking Radiation Recoil. (arXiv:2104.08919v3 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Gennaro_S/0/1/0/all/0/1">Sofia Di Gennaro</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Ong_Y/0/1/0/all/0/1">Yen Chin Ong</a>
It has recently been suggested that black hole remnants of primordial origin
are not a viable dark matter candidate since they would have far too large a
velocity due to the recoil of Hawking radiation. We re-examined this
interesting claim in more details and found that it does not rule out such a
possibility. On the contrary, for models based on non-commutativity of
spacetime near the Planck scale, essentially the same argument can be used to
estimate the scale at which non-commutativity effect becomes important. If dark
matter “particles” are non-commutative black holes that have passed the maximum
temperature, this implies that the non-commutative scale is about 100 times the
Planck length. The same analysis applies to other black hole remnants whose
temperature reaches a maximum before cooling off, for example, black holes in
asymptotically safe gravity.
It has recently been suggested that black hole remnants of primordial origin
are not a viable dark matter candidate since they would have far too large a
velocity due to the recoil of Hawking radiation. We re-examined this
interesting claim in more details and found that it does not rule out such a
possibility. On the contrary, for models based on non-commutativity of
spacetime near the Planck scale, essentially the same argument can be used to
estimate the scale at which non-commutativity effect becomes important. If dark
matter “particles” are non-commutative black holes that have passed the maximum
temperature, this implies that the non-commutative scale is about 100 times the
Planck length. The same analysis applies to other black hole remnants whose
temperature reaches a maximum before cooling off, for example, black holes in
asymptotically safe gravity.
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