2019/10/31 by Rong-Gen Cai, Shao-Jiang Wang
Physics and Astronomy · #Astrophysics #Binary black hole #Black Holes and Theoretical Physics #Black hole (networking) #Combinatorics #Conjecture #Cosmology and Gravitation Theories #Curvature #Dark Matter and Cosmic Phenomena #Dark matter #Geometry #Gravitational wave #Inflation (cosmology) #Particle physics #Physics #Primordial black hole #Theoretical physics #Upper and lower bounds #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.101.043508
published as Phys. Rev. D 101, 043508 (2020) · v1, 6 pages, 2 figures; v2, references added; v3, presentation improved, accepted by PRD; v4, to match the published version
openalex created_date 2019/10/25 · arxiv created 2020/02/07 · openalex publication_date 2020/02/07 · arxiv updated 2020/02/12 · openalex updated_date 2026/08/05
The recently proposed trans-Planckian censorship conjecture (TCC) imposes a strong constraint on the inflationary Hubble scale, of which the upper bound could be largely relaxed by considering a noninstantaneous reheating history. In this paper we will show that, if the primordial black holes (PBHs) are formed at reentry in the radiation-dominated era from the enhanced curvature perturbations at small scales, the TCC would impose a lower bound on the PBH mass MPBH>\ensuremathγ(Hend/109 GeV)2 M_\ensuremath\bigodot regardless of the details for reheating history, where \ensuremathγ is the collapse efficiency factor and Hend is the Hubble scale at the end of inflation. In particular, the current open window for PBHs to make up all the cold dark matter could be totally ruled out if the inflationary Hubble scale is larger than 10 TeV. For the case of PBHs formed in an early matter-dominated era, an upper mass bound is obtained.