2021/02/04 by Ki-Young Choi, Subeom Kang, Su-beom Kang +1 · 1 citation
Physics and Astronomy · #Anisotropy #Astrophysics #Binary black hole #Black Holes and Theoretical Physics #Classical mechanics #Cosmic microwave background #Cosmological perturbation theory #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark matter #Galaxies: Formation, Evolution, Phenomena #Geometry #Gravitational wave #Inflation (cosmology) #Inflaton #Perturbation (astronomy) #Physics #Primordial black hole #Primordial fluctuations #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Slow roll #Spectral density #Theoretical physics #astro-ph.CO #gr-qc
paper · pdf · doi:10.1088/1475-7516/2021/06/054
14 pages, 4 figures
arxiv created 2021/02/04 · openalex publication_date 2021/06/01 · arxiv updated 2021/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Abstract The large enhancement of the primordial power spectrum of the curvature perturbation can seed the formation of primordial black hole, that can play as a dark matter component in the Universe. In the literature, the enhanced power spectrum was calculated from the inflationary potential. However, in this paper, we show that a potential of multi scalar fields can be reconstructed from a given power spectrum which is made of a scale-invariant one on large scales and the other with a peak on small scales. In this reconstructed potential, the slow-roll of the second field in the curved trajectory is responsible for the generation of a peak in the power spectrum on small scales through the isocurvature perturbation. With multi scalar fields, the reconstructed potential may not be unique and we can find different potentials from a given power spectrum.