倾斜同余和$f(R)$引力在正则紧致天体上的作用
Role of Tilted Congruence and $f(R)$ Gravity on Regular Compact Objects
摘要：
本文的目的是检验观测者项和Palatini $f(R)$项在球面相对论系统非均匀性因子公式中的影响。我们把Lemaintre-Tolman-Bondi动力学模型看作一个紧凑的物体，研究了它在倾斜和非倾斜观察者情况下的演化。我们对倾斜坐标系中流体分布的特殊情况进行了分析，发现了一些能量密度不规则变量。我们发现，这些变量是显着不同的非倾斜观察者所观察到的。共形扁平尘埃和完全物质的含量只要在真空核之外，都是均匀的。然而，当流体描述的复杂性增加时，这种限制被放松。由于倾斜同余和Palatini $f(R)$曲率项的径向流体速度往往会在最初规则的球形恒星星族中产生能量密度不均匀性的障碍。
英文摘要：
The purpose of this paper is to check the impact of observer and Palatini $f(R)$ terms in the formulations of inhomogeneity factors of spherical relativistic systems. We consider Lemaître-Tolman-Bondi dynamical model as a compact object and studied its evolution with both tilted and non-tilted observers. We performed our analysis for particular cases of fluid distribution in tilted frame and found some energy density irregularity variables. We found that these variables are drastically different from those observed by non-tilted observer. The conformal flat dust and perfect matter contents are homogeneous as long as they impregnate vacuum core. However, this restriction is relaxed, when the complexity in the fluid description is increased. The radial fluid velocity due to tilted congruences and Palatini $f(R)$ curvature terms tend to produce hindrances in the appearance of energy-density inhomogeneities in the initially regular spherical stellar populations.
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