Primordial black holes and secondary gravitational waves from inflationary model with a non-canonical kinetic term. (arXiv:2011.10606v2 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Yi_Z/0/1/0/all/0/1">Zhu Yi</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Gao_Q/0/1/0/all/0/1">Qing Gao</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Gong_Y/0/1/0/all/0/1">Yungui Gong</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Zhu_Z/0/1/0/all/0/1">Zong-hong Zhu</a>
With the enhancement mechanism provided by a non-canonical kinetic term with
a peak, the amplitude of primordial curvature perturbations can be enhanced by
seven-orders of magnitude at small scales while keeping to be consistent with
observations at large scales. The peak function and inflationary potential are
not restricted in this mechanism. We use the Higgs model and T-model as
examples to show how abundant primordial black hole dark matter with different
mass and induced secondary gravitational waves with different peak frequencies
are generated. We also show that the enhanced power spectrum for the primordial
curvature perturbations and the energy density of the induced secondary
gravitational waves can have either a sharp peak or a broad peak. The
primordial black holes with the mass around $10^{-14}-10^{-12} M_{odot}$
produced with the enhancement mechanism can make up almost all dark matter, and
the induced secondary gravitational waves accompanied with the production of
primordial black holes can be tested by the pulsar timing arrays and spaced
based gravitational wave observatory. Therefore, the mechanism can be tested by
primordial black hole dark matter and gravitational wave observations.
With the enhancement mechanism provided by a non-canonical kinetic term with
a peak, the amplitude of primordial curvature perturbations can be enhanced by
seven-orders of magnitude at small scales while keeping to be consistent with
observations at large scales. The peak function and inflationary potential are
not restricted in this mechanism. We use the Higgs model and T-model as
examples to show how abundant primordial black hole dark matter with different
mass and induced secondary gravitational waves with different peak frequencies
are generated. We also show that the enhanced power spectrum for the primordial
curvature perturbations and the energy density of the induced secondary
gravitational waves can have either a sharp peak or a broad peak. The
primordial black holes with the mass around $10^{-14}-10^{-12} M_{odot}$
produced with the enhancement mechanism can make up almost all dark matter, and
the induced secondary gravitational waves accompanied with the production of
primordial black holes can be tested by the pulsar timing arrays and spaced
based gravitational wave observatory. Therefore, the mechanism can be tested by
primordial black hole dark matter and gravitational wave observations.
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