论文标题
新$ f（\ Mathcal {r}）$重力模型中的银河旋转动力学
Galactic rotation dynamics in a new $f(\mathcal{R})$ gravity model
论文作者
论文摘要
我们建议在银河尺度中测试最近引入的$ f（\ Mathcal {r}）$重力模型的生存能力。为此，我们考虑在银河中心周围稳定的圆形轨道中移动的测试颗粒。我们通过Weyl Transformation研究$ F（\ Mathcal {r}）$重力的Palatini方法，这是从Jordan框架到爱因斯坦框架的框架转换。我们在新的$ f（\ Mathcal {r}）$重力模型中得出了测试粒子的旋转速度的表达。对于高表面亮度和低表面亮度星系的样品的观察数据，我们表明预测的旋转曲线非常适合观察值，因此这意味着该模型可以解释星系的平坦旋转曲线。我们还研究了一个超弥漫性银河系，AGC $ 242019 $，在文献中据称是一个暗物质，它以类似于低表面亮度星系的星系为主导，并且旋转曲线缓慢上升。该星系的旋转曲线也与我们研究中的模型预测非常吻合。此外，我们研究了整个星系样本的Tully-Fisher关系，发现模型预测显示了与数据的一致性。
We propose to test the viability of the recently introduced $f(\mathcal{R})$ gravity model in the galactic scales. For this purpose we consider test particles moving in stable circular orbits around the galactic center. We study the Palatini approach of $f(\mathcal{R})$ gravity via Weyl transformation, which is the frame transformation from the Jordan frame to the Einstein frame. We derive the expression of rotational velocities of test particles in the new $f(\mathcal{R})$ gravity model. For the observational data of samples of high surface brightness and low surface brightness galaxies, we show that the predicted rotation curves are well fitted with observations, thus implying that this model can explain flat rotation curves of galaxies. We also study an ultra diffuse galaxy, AGC $242019$ which has been claimed in literature to be a dark matter dominated galaxy similar to low surface brightness galaxies with a slowly rising rotation curve. The rotation curve of this galaxy also fits well with the model prediction in our study. Furthermore, we studied the Tully-Fisher relation for the entire sample of galaxies and found that the model prediction shows the consistency with the data.
