The $H_0$ tension alleviated through ultra-light primordial black holes: an information insight through gravitational waves

The Hawking evaporation of ultra-light primordial black holes (PBH) dominating the early Universe before Big Bang Nucleosynthesis can potentially increase the effective number of extra neutrino species $\Delta N_\mathrm{eff}$ through the emission of dark radiation degrees of freedom alleviating in this way the $H_0$ tension problem. Interestingly, these light PBHs can form a gas of Poisson distributed compact objects which can induce a gravitational-wave (GW) background due to second order gravitational interactions. Therefore, by considering the contribution to $\Delta N_\mathrm{eff}$ due to the production of the aforementioned GW background we revisit in this work the constraints on the relevant parameters at hand, namely the PBH mass, $m_\mathrm{PBH}$, the initial PBH abundance at PBH formation time, $\Omega_\mathrm{PBH,f}$ and the number of DR radiation degrees of freedom, $g_\mathrm{DR}$ by accounting at the same time for the relevant upper bounds constraints on $\Delta N_\mathrm{eff}$ from the Planck collaboration.

[1]  T. Papanikolaou.  Primordial black holes in loop quantum gravity: The effect on the threshold , 2023 .

[2]  V. Vennin,et al.  Uphill inflation , 2023, 2301.09336.

[3]  M. Lewicki,et al.  Distinct signatures of spinning PBH domination and evaporation: doubly peaked gravitational waves, dark relics and CMB complementarity , 2022, Journal of High Energy Physics.

[4]  T. Papanikolaou.  Gravitational waves induced from primordial black hole fluctuations: the effect of an extended mass function , 2022, Journal of Cosmology and Astroparticle Physics.

[5]  M. Lewicki,et al.  Doubly peaked induced stochastic gravitational wave background: testing baryogenesis from primordial black holes , 2022, Journal of High Energy Physics.

[6]  E. Saridakis,et al.  Scalar induced gravitational waves from primordial black hole Poisson fluctuations in f(R) gravity , 2021, Journal of Cosmology and Astroparticle Physics.

[7]  G. Domènech.  Scalar Induced Gravitational Waves Review , 2021, Universe.

[8]  V. Takhistov,et al.  Exploring evaporating primordial black holes with gravitational waves , 2021, Physics Letters B.

[9]  J. Yokoyama,et al.  Constraints on primordial black holes , 2020, Reports on progress in physics. Physical Society.

[10]  J. Zinn,et al.  Cosmic Distances Calibrated to 1% Precision with Gaia EDR3 Parallaxes and Hubble Space Telescope Photometry of 75 Milky Way Cepheids Confirm Tension with ΛCDM , 2020, 2012.08534.

[11]  M. Sasaki,et al.  Gravitational wave constraints on the primordial black hole dominated early universe , 2020, Journal of Cosmology and Astroparticle Physics.

[12]  V. Vennin,et al.  Gravitational waves from a universe filled with primordial black holes , 2020, Journal of Cosmology and Astroparticle Physics.

[13]  P. Pani,et al.  Constraints on primordial black holes: The importance of accretion , 2020, Physical Review D.

[14]  P. Pani,et al.  The evolution of primordial black holes and their final observable spins , 2020, Journal of Cosmology and Astroparticle Physics.

[15]  C. Lunardini,et al.  Dirac and Majorana neutrino signatures of primordial black holes , 2019, Journal of Cosmology and Astroparticle Physics.

[16]  D. Sapone,et al.  Evaporating primordial black holes as varying dark energy , 2019, Physics of the Dark Universe.

[17]  S. Hannestad,et al.  MeV-scale reheating temperature and thermalization of oscillating neutrinos by radiative and hadronic decays of massive particles , 2019, Journal of Cosmology and Astroparticle Physics.

[18]  D. Hooper,et al.  Dark radiation and superheavy dark matter from black hole domination , 2019, Journal of High Energy Physics.

[19]  K. Kohri,et al.  Gravitational waves induced by scalar perturbations during a gradual transition from an early matter era to the radiation era , 2019, Journal of Physics: Conference Series.

[20]  K. Kohri,et al.  Enhancement of gravitational waves induced by scalar perturbations due to a sudden transition from an early matter era to the radiation era , 2019, Journal of Physics: Conference Series.

[21]  A. Riess,et al.  Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics beyond ΛCDM , 2019, The Astrophysical Journal.

[22]  B. A. Boom,et al.  GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs , 2018 .

[23]  R. Cai,et al.  Gravitational Waves Induced by Non-Gaussian Scalar Perturbations. , 2018, Physical review letters.

[24]  J. Aumont,et al.  Planck2018 results , 2018, Astronomy & Astrophysics.

[25]  Stefano Casertano,et al.  Milky Way Cepheid Standards for Measuring Cosmic Distances and Application to Gaia DR2: Implications for the Hubble Constant , 2018, The Astrophysical Journal.

[26]  J. March-Russell,et al.  Black hole genesis of dark matter , 2017, 1712.07664.

[27]  Brad E. Tucker,et al.  A 2.4% DETERMINATION OF THE LOCAL VALUE OF THE HUBBLE CONSTANT , 2016, 1604.01424.

[28]  Jillian Bellovary,et al.  Black holes in the early Universe , 2012, Reports on progress in physics. Physical Society.

[29]  E. Bugaev,et al.  Induced gravitational wave background and primordial black holes , 2009, 0908.0664.

[30]  The VIRGO Collaboration , 2010 .

[31]  J. Yokoyama,et al.  Gravitational-wave background as a probe of the primordial black-hole abundance. , 2008, Physical review letters.

[32]  K. Kohri,et al.  MeV-scale reheating temperature and thermalization of the neutrino background , 2000, astro-ph/0002127.

[33]  K. Kohri,et al.  Cosmological Constraints on Late-time Entropy Production , 1998, astro-ph/9811437.

[34]  Takahiro Tanaka,et al.  Black hole binary formation in the expanding universe: Three body problem approximation , 1998, astro-ph/9807018.

[35]  K. Thorne,et al.  Gravitational Waves from Coalescing Black Hole MACHO Binaries , 1997, astro-ph/9708060.

[36]  Copeland,et al.  Baryogenesis in extended inflation. II. Baryogenesis via primordial black holes. , 1990, Physical review. D, Particles and fields.

[37]  Webber,et al.  Quark- and gluon-jet emission from primordial black holes: The instantaneous spectra. , 1990, Physical review. D, Particles and fields.

[38]  M. Rees,et al.  How large were the first pregalactic objects , 1984 .

[39]  G. Chapline,et al.  Cosmological effects of primordial black holes , 1975, Nature.

[40]  P. Mészáros.  Primeval black holes and galaxy formation , 1975 .

[41]  S. Hawking.  Particle creation by black holes , 1975 .

[42]  Y. Zel’dovich,et al.  The Hypothesis of Cores Retarded during Expansion and the Hot Cosmological Model , 1966 .

[43]  F. Hoyle,et al.  On the Mechanism of Accretion by Stars , 1944 .