论文标题
基于曲率的扩展理论的重力和典当场的前进转移
Precession shift in curvature based Extended Theories of Gravity and Quintessence fields
论文作者
论文摘要
在本文中，我们通过使用来自行星进动的数据来限制假设的新弱力的大小。我们考虑标量张量第四阶重力（STFOG）的弱场近似，其中包括几种修饰的重力模型。如果Yukawa样潜力形式（第五力），即$ v（r）=α\ dfrac {e^{ - βr}} {r} $，校正形式的形式，即$ v（r）=α\ dfrac {e^{ - βr}} $，其中$α$是与电势强度相关的参数，$β$与范围的范围相关。有关Periastron Advance的当前数据允许推断重力模型的自由参数的约束。此外，还研究了非交通性光谱重力（NCSG），这是一种特殊的情况。在这里，我们表明，行星的前进偏移允许通过几个数量级提高参数$β$的界限。最终，研究了这种分析，以类似于功率的电位的情况，特别是指由精髓场引起的Schwarzschild几何形状的变形，这是由宇宙当前加速阶段负责的。
In this paper we constrain the sizes of hypothetical new weak forces by making use the data coming from the precession of Planets. We consider the weak field approximation of Scalar-Tensor Fourth Order Gravity (STFOG), which include several models of modified gravity. The form of the corrections to the Newtonian potential if of the form of Yukawa-like potential (5th force), i.e. $V(r) = α \dfrac{e^{-βr}}{r}$, where $α$ is the parameter related to the strength of the potential, and $β$ to the range of the force. The present data on periastron advance allow to infer a constraint on the free parameter of the gravitational models. Moreover, the Non-Commutative Spectral Gravity (NCSG) is also studied, being a particular case STFOG. Here we show that the precession shift of Planet allows to improve the bounds on parameter $β$ by several orders of magnitude. Finally such an analysis is studied to the case of power-like potential, referring in particular to deformation of the Schwarzschild geometry induced by a quintessence field, responsible of the present accelerated phase of the Universe.
