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arXiv 1301.4148astro-ph.COgr-qc
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引力的重整化群方法:星系内G和L的运行以及椭圆NGC 4494的附加细节

Renormalization Group approach to Gravity: the running of G and L inside galaxies and additional details on the elliptical NGC 4494

Davi C. Rodrigues, Oliver F. Piattella, Júlio C. Fabris, Ilya L. Shapiro

摘要:

我们探讨了低能引力中的非平凡量子效应现象。这些效应来自于引力耦合参数G和宇宙学常数L在Einstein-Hilbert作用量中的运行,即由重整化群(RG)引起的.用重整化群修正的广义相对论(RGGR模型)来参数化这些量子效应,并假设星系内部主要的类暗物质效应是由于这些非平凡的RG效应。在这里,我们提出了更多的细节RGGR模型的应用,特别是泊松方程的扩展,定义的有效势,我们也重新分析了普通椭圆星系NGC 4494使用一个稍微不同的模型,其重子的贡献,和显式的解决方案,为运行的G和L。这里给出的NGC 4494参数值与星系的一般RGGR图像有更好的一致性,并表明比以前公布的结果更大的径向各向异性。

英文摘要:

We explore the phenomenology of nontrivial quantum effects on low-energy gravity. These effects come from the running of the gravitational coupling parameter G and the cosmological constant L in the Einstein-Hilbert action, as induced by the Renormalization Group (RG). The Renormalization Group corrected General Relativity (RGGR model) is used to parametrize these quantum effects, and it is assumed that the dominant dark matter-like effects inside galaxies is due to these nontrivial RG effects. Here we present additional details on the RGGR model application, in particular on the Poisson equation extension that defines the effective potential, also we re-analyse the ordinary elliptical galaxy NGC 4494 using a slightly different model for its baryonic contribution, and explicit solutions are presented for the running of G and L. The values of the NGC 4494 parameters as shown here have a better agreement with the general RGGR picture for galaxies, and suggest a larger radial anisotropy than the previously published result.

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