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arXiv 1003.2144astro-ph.COgr-qc
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Horava-Lifshitz理论中的Milky Way转动曲线

The Milky Way rotation curve in Horava - Lifshitz theory

V. F. Cardone, N. Radicella, M. L. Ruggiero, M. Capone

备注：
10 pages, 1 figure, accepted for publication on MNRAS
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摘要：

Horava-Lifshitz（HL）理论作为解决量子引力相关问题的一个可行方案，以及存在一个能够驱动宇宙加速的有效宇宙学常数，近年来引起了人们的极大兴趣。我们在这里表明，在弱场限制，HL的建议导致修改的引力势，因为两个附加项（缩放分别为$r^2$和$r^{-4}$）的牛顿$1/r$潜力。然后，在质量密度只依赖于柱坐标$(R, z)$的假设下，导出了计算扩展系统转动曲线的一般表达式，表明HL修正引起了圆速度对质量函数的依赖，这是该理论的一个新特点。作为第一个探索性的分析，我们然后尝试拟合银河系的旋转曲线，只使用其可见的组件，以查看是否HL修改后的潜力可以替代的暗物质框架。事实证明并非如此，因此我们认为仍然需要暗物质，但暗物质的量和暗晕密度分布必须根据新的HL势进行修订。

英文摘要：

The Horava - Lifshitz (HL) theory has recently attracted a lot of interest as a viable solution to some quantum gravity related problems and the presence of an effective cosmological constant able to drive the cosmic speed up. We show here that, in the weak field limit, the HL proposal leads to a modification of the gravitational potential because of two additive terms (scaling respectively as $r^2$ and $r^{-4}$) to the Newtonian $1/r$ potential. We then derive a general expression to compute the rotation curve of an extended system under the assumption that the mass density only depends on the cylindrical coordinates $(R, z)$ showing that the HL modification induces a dependence of the circular velocity on the mass function which is a new feature of the theory. As a first exploratory analysis, we then try fitting the Milky Way rotation curve using its visible components only in order to see whether the HL modified potential can be an alternative to the dark matter framework. This turns out not to be the case so that we argue that dark matter is still needed, but the amount of dark matter and the dark halo density profile have to be revised according to the new HL potential.

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