Constraints on primordial curvature perturbations from primordial black hole dark matter and secondary gravitational waves
General Relativity and Quantum Cosmology
2019-12-25 v2 Cosmology and Nongalactic Astrophysics
Abstract
Primordial black holes and secondary gravitational waves can be used to probe the small scale physics at very early time. For secondary gravitational waves produced after the horizon reentry, we derive an analytical formula for the time integral of the source and analytical behavior of the time dependence of the energy density of induced gravitational waves is obtained. By proposing a piecewise power law parametrization for the power spectrum of primordial curvature perturbations, we use the observational constraints on primordial black hole dark matter to obtain an upper bound on the power spectrum, and discuss the test of the model with future space based gravitational wave antenna.
Keywords
Cite
@article{arxiv.1907.11896,
title = {Constraints on primordial curvature perturbations from primordial black hole dark matter and secondary gravitational waves},
author = {Yizhou Lu and Yungui Gong and Zhu Yi and Fengge Zhang},
journal= {arXiv preprint arXiv:1907.11896},
year = {2019}
}
Comments
15 pages, 3 figures