The plethora of photometric data collected by the Kepler space telescope has promoted the detection of tens of thousands of stellar rotation periods. However, these periods are not found to an equal extent among different spectral types. Interestingly, early G-type stars with near-solar rotation periods are strongly underrepresented among those stars with known rotation periods. In this study we investigate whether the small number of such stars can be explained by difficulties in the period determination from photometric time series. For that purpose, we generate model light curves of early G-type stars with solar rotation periods for different inclination angles, metallicities, and (magnitude-dependent) noise levels. We find that the detectability is determined by the predominant type of activity (i.e., spot or faculae domination) on the surface, which defines the degree of irregularity of the light curve, and further depends on the level of photometric noise. These two effects significantly complicate the period detection and explain the lack of solar-like stars with known near-solar rotation periods. We conclude that the rotation periods of the majority of solar-like stars with near-solar rotation periods remain undetected to date. Finally, we promote the use of new techniques to recover more periods of near-solar rotators.

开普勒太空望远镜收集的大量光度数据促进了成千上万个恒星旋转周期的检测。但是，在不同的光谱类型之间发现这些周期的程度不同。有趣的是，在具有已知自转周期的恒星中，具有近太阳自转周期的早期G型恒星的代表性明显不足。在这项研究中，我们调查了此类恒星的数量是否可以通过光度时间序列确定周期的困难来解释。为此，我们针对不同的倾角，金属性和（与强度相关）的噪声水平，生成了具有太阳自转周期的早期G型恒星的模型光曲线。我们发现，可检测性取决于表面上的主要活动类型（即斑点或斑点状支配作用），它定义了光曲线的不规则程度，并进一步取决于光度学噪声的级别。这两种效应使周期探测变得非常复杂，并解释了缺少具有已知近太阳自转周期的类太阳恒星。我们得出的结论是，迄今尚未发现大多数太阳系恒星具有近太阳自转周期的自转周期。最后，我们提倡使用新技术来恢复更多周期的近太阳旋转器。我们得出的结论是，迄今尚未发现大多数太阳系恒星具有近太阳自转周期的自转周期。最后，我们提倡使用新技术来恢复更多周期的近太阳旋转器。我们得出的结论是，迄今尚未发现大多数太阳系恒星具有近太阳自转周期的自转周期。最后，我们提倡使用新技术来恢复更多周期的近太阳旋转器。