论文标题
通过$ f（r）$模型中星系的速度曲线的光偏转角度
Light deflection angle through velocity profile of galaxies in $f(R)$ model
论文作者
论文摘要
我们通过重力透镜现象在Power-Law $ f（r）$ $ f（r）\ propto r^{1+δ} $的重力理论中探索了银河尺度动力学的新实现。我们利用单个有效点，例如在弱场限制下获得的电势（牛顿电位 + $ f（r）背景电位），以研究超出光盘尺寸的星系旋转曲线的合并观察结果，并在$ f（r）$框架工作中进行了镜头。我们以特征长度尺度（由于$ f（r）$理论中的Noether对称性）计算出光偏转角度的大小，该尺寸出现在有效的$ f（r）$旋转速度曲线中，典型的星系的旋转速度曲线具有模型参数$Δ\ of（10^{-6}）$（10^{-6}）$在先前的工作中受约束。例如，我们与附近两个有争议的星系NGC 5533和NGC 4138一起工作，并通过分析$ f（r）$背景中的透镜角度曲线来探索它们的银河特征。我们还将$ f（r）$镜头角曲线和此类星系的相关参数的大小与广义的伪静脉星系光环模型与找到一致性进行了对比。
We explore a new realisation of the galactic scale dynamics via gravitational lensing phenomenon in power-law $f(R)$ gravity theory of the type $f(R)\propto R^{1+δ}$ with $δ<<1$ for interpreting the clustered dark matter effects. We utilize the single effective point like potential (Newtonian potential + $f(R)$ background potential) obtained under the weak field limit to study the combined observations of galaxy rotation curve beyond the optical disk size and their lensing profile in $f(R)$ frame work. We calculate the magnitude of light deflection angle with the characteristic length scale (because of Noether symmetry in $f(R)$ theories) appearing in the effective $f(R)$ rotational velocity profile of a typical galaxy with the model parameter $δ\approx O(10^{-6})$ constrained in previous work. For instance, we work with the two nearby controversial galaxies NGC 5533 and NGC 4138 and explore their galactic features by analysing the lensing angle profiles in $f(R)$ background. We also contrast the magnitudes of $f(R)$ lensing angle profiles and the relevant parameters of such galaxies with the generalised pseudo-isothermal galaxy halo model and find consistency.
