Improved model of large-field inflation with primordial black hole production in Starobinsky-like supergravity

IF 3.6 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
Ryotaro Ishikawa and Sergei V Ketov
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Abstract

A viable model of large-field (chaotic) inflation with efficient production of primordial black holes is proposed in Starobinsky-like (modified) supergravity leading to the ‘no-scale-type’ Kähler potential and the Wess-Zumino-type (‘renormalizable’) superpotential. The cosmological tilts are in good (within 1σ) agreement with Planck measurements of the cosmic microwave background radiation. In addition, the power spectrum of scalar perturbations has a large peak at smaller scales, which leads to a production of primordial black holes from gravitational collapse of large perturbations with the masses about 1017 g. The masses are beyond the Hawking (black hole) evaporation limit of 1015 g, so that those primordial black holes may be viewed as viable candidates for a significant part or the whole of the current dark matter. The parameters of the superpotential were fine-tuned for those purposes, while the cubic term in the superpotential is essential whereas the quadratic term should vanish. The vacuum after inflation (relevant to reheating) is Minkowskian. The energy density fraction of the gravitational waves induced by the production of primordial black holes and their frequency were also calculated in the second order with respect to perturbations.
类斯塔罗宾斯基超引力中原始黑洞产生的大场膨胀改进模型
在类斯塔罗宾斯基(修正的)超引力中提出了一个可行的大场(混沌)暴胀模型,该模型高效地产生了原始黑洞,导致了 "无尺度型 "凯勒势和韦斯-祖米诺型("重正化")超势。宇宙学倾斜与普朗克对宇宙微波背景辐射的测量结果吻合良好(在 1σ 以内)。此外,标量扰动的功率谱在较小尺度上有一个很大的峰值,这导致质量约为 1017 g 的大扰动的引力塌缩产生了原始黑洞,其质量超过了 1015 g 的霍金(黑洞)蒸发极限,因此这些原始黑洞可被视为当前暗物质的重要部分或全部的可行候选者。为了达到这些目的,对超势能的参数进行了微调,而超势能中的三次项是必不可少的,二次项则应该消失。膨胀后的真空(与再热有关)是明科夫斯基真空。由原始黑洞的产生所诱发的引力波的能量密度分数及其频率也是按照与扰动有关的二阶计算的。
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来源期刊
Classical and Quantum Gravity
Classical and Quantum Gravity 物理-天文与天体物理
CiteScore
7.00
自引率
8.60%
发文量
301
审稿时长
2-4 weeks
期刊介绍: Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.
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