Different effects of the Lorentz and Gaussian bump functions on the formation of primordial black holes and secondary gravitational waves
arXiv:2403.15979 · doi:10.1016/j.dark.2026.102224
Abstract
Scalar perturbations in the inflation can be amplified when the base inflation potential incorporates a local bump such as . This modification will lead to a peak in the curvature power spectrum, increasing a significant abundance of primordial black holes (PBHs). However, since there is no underlying physical reason for the choice of , it is essential to investigate the effects of various bump functions on PBH generation. In this paper, we choose the well-known Starobinsky potential as the base inflation potential to compare the effects produced by different bumps, specifically focusing on the Lorentz and Gaussian bumps which are widely used. To clearly illustrate the differences between these two bumps, we keep parameters in bump functions the same. We find an interesting and novel result that the Lorentz cases manifest a stronger ability to enhance the power spectrum and produce more abundance of PBHs than Gaussian cases. Moreover, we also investigate the different effects of bump functions on the scalar-induced gravitational waves (SIGWs). The results indicate that the Lorentz bump generates SIGWs with a higher energy density, which can be potentially detected in the future. Our study gives valuable insights into the choice and constraints on the bump functions, and the different effects may distinguish the two bump cases for practical purposes in future experiments.
13 pages, 10 figures
References in corpus (20)
- The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
- Primordial Black Holes as Dark Matter
- BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
- Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
- Gravitational-wave sensitivity curves
- Constraints on Earth-mass primordial black holes from OGLE 5-year microlensing events
- Primordial black hole dark matter from single field inflation
- No large population of unbound or wide-orbit Jupiter-mass planets
- Primordial Black Holes and Slow-Roll Violation
- CMB bounds on disk-accreting massive Primordial Black Holes
- Solar-Mass Primordial Black Holes Explain NANOGrav Hint of Gravitational Waves
- Primordial black hole production during first-order phase transitions
- Silk damping at a redshift of a billion: a new limit on small-scale adiabatic perturbations
- Logarithmic Duality of the Curvature Perturbation
- Scalar induced gravitational waves in inflation with gravitationally enhanced friction
- Constraining Primordial Black Hole Formation from Single-Field Inflation
- The Detected Stochastic Gravitational Waves and Subsolar-Mass Primordial Black Holes
- Primordial Black Hole Formation in Non-Minimal Curvaton Scenario
- Primordial black holes and gravitational waves from nonminimally coupled supergravity inflation
- On the gauge dependence of scalar induced secondary gravitational waves during radiation and matter domination eras