arXiv 1606.093072016-06hep-thastro-ph.GAgr-qc

弦引力中点粒子的转动曲线

The rotation curve of a point particle in stringy gravity

Sung Moon Ko, Jeong-Hyuck Park, Minwoo Suh

备注：: 1+36 pages, 10 figures. Final version to appear in JCAP
发表信息：: JCAP 06 (2017) 002
DOI：: 10.1088/1475-7516/2017/06/002

摘要：

双场论建议把闭弦的整个无质量部分看作引力统一体。其中的基本对称性，包括$\mathbf{O}(D,D)$协方差，可以明确地决定标准模型和相对论性点粒子应该如何耦合到弦的闭无质量扇区。该理论还完善了奇点的概念。我们考虑最一般的，球对称的，渐近平坦的，静态真空解的${D=4}$双场论，其中包含三个自由参数，从而推广了史瓦西几何。在弦坐标系下分析点粒子的圆测地线，得到了轨道速度与质量归一化的无量纲径向变量$R/(M_{\scriptscriptstyle{\infty}}G)$的关系。旋转曲线通常具有最大值，因此在有限范围内是非开普勒曲线，而在无穷远处变为渐近开普勒曲线，$R/(M_{\scriptscriptstyle{\infty}}G)\rightarrow \infty$。采用弦框架而不是爱因斯坦框架是基本对称原理的结果。我们的结果为在$R/(M_{\scriptscriptstyle{\infty}}G)$的“短”范围内修正广义相对论来解决暗物质/能量问题开辟了一个新的方案。

英文摘要：

Double Field Theory suggests to view the whole massless sector of closed strings as the gravitational unity. The fundamental symmetries therein, including the $\mathbf{O}(D,D)$ covariance, can determine unambiguously how the Standard Model as well as a relativistic point particle should couple to the closed string massless sector. The theory also refines the notion of singularity. We consider the most general, spherically symmetric, asymptotically flat, static vacuum solution to ${D=4}$ Double Field Theory, which contains three free parameters and consequently generalizes the Schwarzschild geometry. Analyzing the circular geodesic of a point particle in string frame, we obtain the orbital velocity as a function of $R/(M_{\scriptscriptstyle{\infty}}G)$ which is the dimensionless radial variable normalized by mass. The rotation curve generically features a maximum and thus non-Keplerian over a finite range, while becoming asymptotically Keplerian at infinity, $R/(M_{\scriptscriptstyle{\infty}}G)\rightarrow \infty$. The adoption of the string frame rather than Einstein frame is the consequence of the fundamental symmetry principle. Our result opens up a new scheme to solve the dark matter/energy problems by modifying General Relativity at `short' range of $R/(M_{\scriptscriptstyle{\infty}}G)$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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