Neutrino primordial Planckian black holes

Extremal rotating black holes can be formed in the Planck energy scattering of Dirac spin parallel neutrinos in the mass state m2 (assuming m1=0), owing to the repulsive interaction between their magnetic dipoles, induced by vacuum fluctuations. Assuming that some recent results of loop-quantised Sc...

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Main Authors: Saulo Carneiro, Pedro C. de Holanda, Alberto Saa
Format: Article
Language:English
Published: Elsevier 2021-11-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269321006109
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author Saulo Carneiro
Pedro C. de Holanda
Alberto Saa
author_facet Saulo Carneiro
Pedro C. de Holanda
Alberto Saa
author_sort Saulo Carneiro
collection DOAJ
description Extremal rotating black holes can be formed in the Planck energy scattering of Dirac spin parallel neutrinos in the mass state m2 (assuming m1=0), owing to the repulsive interaction between their magnetic dipoles, induced by vacuum fluctuations. Assuming that some recent results of loop-quantised Schwarzschild black holes would be also applicable for the Kerr case, we show that the resulting black hole has Planck mass and angular momentum ħ, and that its horizon area is in the spectrum of the Loop Quantum Gravity area operator. Moreover, we argue that such black holes could be produced at the reheating, with an abundance that allows their interpretation as forming the presently observed dark matter component, provided that the energy scale at inflation is ≈1017 GeV. This scale can be lower if we attribute a high chemical potential to primordial neutrinos. As extremal black holes have zero surface gravity, there is no limits on their abundance from Hawking evaporation.
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spelling doaj.art-84fcd5b7c00d44b89c56dd2d68849dbe2022-12-21T19:20:46ZengElsevierPhysics Letters B0370-26932021-11-01822136670Neutrino primordial Planckian black holesSaulo Carneiro0Pedro C. de Holanda1Alberto Saa2Instituto de Física, Universidade Federal da Bahia, 40210-340, Salvador, BA, Brazil; PPGCosmo, CCE, Universidade Federal do Espírito Santo, 29075-910, Vitória, ES, Brazil; Corresponding author.Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, 13083-859, Campinas, SP, BrazilDepartamento de Matemática Aplicada, Universidade Estadual de Campinas, 13083-859, Campinas, SP, BrazilExtremal rotating black holes can be formed in the Planck energy scattering of Dirac spin parallel neutrinos in the mass state m2 (assuming m1=0), owing to the repulsive interaction between their magnetic dipoles, induced by vacuum fluctuations. Assuming that some recent results of loop-quantised Schwarzschild black holes would be also applicable for the Kerr case, we show that the resulting black hole has Planck mass and angular momentum ħ, and that its horizon area is in the spectrum of the Loop Quantum Gravity area operator. Moreover, we argue that such black holes could be produced at the reheating, with an abundance that allows their interpretation as forming the presently observed dark matter component, provided that the energy scale at inflation is ≈1017 GeV. This scale can be lower if we attribute a high chemical potential to primordial neutrinos. As extremal black holes have zero surface gravity, there is no limits on their abundance from Hawking evaporation.http://www.sciencedirect.com/science/article/pii/S0370269321006109
spellingShingle Saulo Carneiro
Pedro C. de Holanda
Alberto Saa
Neutrino primordial Planckian black holes
Physics Letters B
title Neutrino primordial Planckian black holes
title_full Neutrino primordial Planckian black holes
title_fullStr Neutrino primordial Planckian black holes
title_full_unstemmed Neutrino primordial Planckian black holes
title_short Neutrino primordial Planckian black holes
title_sort neutrino primordial planckian black holes
url http://www.sciencedirect.com/science/article/pii/S0370269321006109
work_keys_str_mv AT saulocarneiro neutrinoprimordialplanckianblackholes
AT pedrocdeholanda neutrinoprimordialplanckianblackholes
AT albertosaa neutrinoprimordialplanckianblackholes