论文标题
统一$ f（r）$重力在本地尺度上
Unified $f(R)$ gravity at local scales
论文作者
论文摘要
我们以$δ$的形式探索$ f（r）（\ propto r^{1+δ}）$模型，作为在本地尺度研究约束的区别物理参数。研究了相应的动力学与不同的大地测量学（无效和非无效）及其保形类似物。对于无效的测量学，我们讨论了光偏转角，而对于弱场极限下的非曲子测量学，我们研究了$ f（r）$ schwarzschild背景中汞轨道的围栏前进。对于非零用测量学而出现的额外力量的程度取决于$δ$。这种现象学研究使我们严格限制了$δ$的大约$ \ Mathcal {o}（10^{ - 6}）$，在银河系和行星尺度上的订单订单差异差异，并且似乎在本地尺度提供了独特的$ f（r）$。此外，在宇宙晚期，我们通过裸露的标量自我交往的爱因斯坦框架潜力分析了$δ$的约束，以提供对暗能量的无效测试。我们将偏差参数限制为$ \midδ\ mid $至$（\大约0.6）$，这与几位作者在约旦框架中通过各种观察获得的结果达成了密切的一致性。我们的结果表明，目前的模型形式适合于在局部尺度上对暗物质样效应的替代解释，而在大尺度上，偏差较高，必须根据加速背景来解决。
We explore the shifted $f(R) (\propto R^{1+δ})$ model with $δ$ as a distinguishing physical parameter for the study of constraints at local scales. The corresponding dynamics confronted with different geodesics (null and non-null) along with its conformal analogue is investigated. For null geodesics, we discuss the light deflection angle, whereas for non-null geodesics under the weak field limit, we investigate the perihelion advance of the Mercury orbit in $f(R)$ Schwarzschild background, respectively. The extent of an additional force, appearing for non-null geodesics, depends on $δ$. Such phenomenological investigations allow us to strictly constrain $δ$ to be approximately $\mathcal{O}(10^{-6})$ with a difference of unity in orders at galactic and planetary scales and seems to provide a unique $f(R)$ at local scales. Further, at late cosmic time, we analyse the constraint on $δ$ via the bare scalar self-interaction Einstein frame potential to provide a null test of dark energy. We constrain the deviation parameter, $\midδ\mid$ to $(\approx 0.6)$ which is in a close agreement with the results obtained through various observations in the Jordan frame by several authors. Our results suggest that the present form of model is suitable for the alternate explanation of dark matter-like effects at local scales, whereas at large scales the deviations grow higher and must be addressed in terms of the accelerated background.
