arXiv 1610.033362016-10-11astro-ph.GAgr-qc

用$f(R)$引力恢复星系的基本面

Recovering the fundamental plane of galaxies by $f(R)$ gravity

V. Borka Jovanović, S. Capozziello, P. Jovanović, D. Borka

备注：: 18 pages, 3 tables, 8 figures. Accepted for publication in Phys. Dark Universe

摘要：

在$f(R)$引力理论框架下，可以避免与暗物质有关的问题，恢复星系的基本面（FP），以符合观测结果。特别是，幂律版本$f(R)\propto R^n$，从存在的Noether对称性$f(R)$，是足以实现的方法。事实上，FP参数和修正牛顿势之间的关系，来自$R^n$，可以找到和证明从物理的角度来看。具体地说，我们分析了椭圆星系的速度分布，并得到$r_c$，尺度长度依赖于引力系统的属性，是成正比的$r_e$，星系的有效半径。这一事实表明，由$f(R)$引起的引力修正可以导致系统的测光和动力学。此外，这种方法的主要副产品是，重力可以根据自引力系统的尺度以不同的方式工作。

英文摘要：

The fundamental plane (FP) of galaxies can be recovered in the framework of $f(R)$ gravity avoiding the issues related to dark matter to fit the observations. In particular, the power-law version $f(R)\propto R^n$, resulting from the existence of Noether symmetries for $f(R)$, is sufficient to implement the approach. In fact, relations between the FP parameters and the corrected Newtonian potential, coming from $R^n$, can be found and justified from a physical point of view. Specifically, we analyze the velocity distribution of elliptical galaxies and obtain that $r_c$, the scale-length depending on the gravitational system properties, is proportional to $r_e$, the galaxy effective radius. This fact points out that the gravitational corrections induced by $f(R)$ can lead photometry and dynamics of the system. Furthermore, the main byproduct of such an approach is that gravity could work in different ways depending on the scales of self-gravitating systems.

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摘要：

英文摘要：

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