发表机构
University of Mazandaran（马赞德兰大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究DBI暴胀框架下，由暴胀子势和挠率因子的局域特征产生的原初黑洞与诱导引力波，其信号可被未来探测设备捕获，且符合现有观测约束。
AI 中文摘要
我们研究狄拉克-博恩-因费尔德（DBI）暴胀框架下的原初黑洞形成，该框架的背景动力学由暴胀子势V(φ)和挠率因子f(φ)的显式函数形式决定。通过数值求解背景方程得到慢滚参数的演化，结果表明，势中的局域特征伴随挠率因子的相关结构，会动态诱导慢滚参数的瞬时抑制，产生短寿命的非吸引子相。该行为会增强小尺度上的曲率功率谱，同时保持与CMB尺度可观测量的一致性。随后数值求解穆卡诺夫-萨萨基（Mukhanov-Sasaki）方程，计算得到的功率谱在不同质量范围的原初黑洞（PBH）丰度中呈现窄而局域的峰值。我们还评估了相关的诱导引力波随机背景，发现根据暴胀特征的尺度，预测的信号可落入未来脉冲星计时阵列和空间基干涉仪的灵敏度带中。在(r,ns)平面的参数扫描显示，大尺度预测仍与当前观测约束一致。
英文摘要
We investigate primordial black hole formation in a Dirac-Born-Infeld inflationary framework in which the background dynamics are determined by explicit functional forms of the inflaton potential $V(ϕ)$ and the warp factor $f(ϕ)$. The background equations are solved numerically to obtain the evolution of the slow-roll parameters. We show that a localized feature in the potential, accompanied by a correlated structure in the warp factor, dynamically induces a transient suppression of the slow-roll parameter, leading to a short-lived non-attractor phase. This behavior generates an enhancement of the curvature power spectrum on small scales, while preserving consistency with CMB-scale observables. The Mukhanov-Sasaki equation is then solved numerically to compute the resulting power spectrum, which exhibits narrow and localized peaks in the PBH abundance across different mass ranges. We also evaluate the associated stochastic background of induced gravitational waves and find that the predicted signal can fall within the sensitivity bands of future pulsar timing arrays and space-based interferometers, depending on the scale of the inflationary feature. A parameter scan in the $(r,n_s)$ plane shows that the large-scale predictions remain consistent with current observational constraints.
Comments17 pages, 5 figures, 1 table
Journal refEur. Phys. J. C (2026) 86:670
DOI：10.1140/epjc/s10052-026-15956-x
