全球尺度上的么模约束不变性
Unimodular Constraint on global scale Invariance
摘要：
我们研究了真空中的整体尺度不变性和么模引力。在不引入任何标量场的情况下，考虑了遵循么模一般坐标变换的整体尺度不变引力作用量。这是文献\cite{Mannheim}中描述的保形理论的推广。讨论了静态线性场近似下引力势的可能解。新的修正解对描述银河系自转曲线的史瓦西解有额外的修正。并对么模理论与保角理论进行了比较研究。进一步研究了宇宙学解，证明了么模约束保持了de Sitter解，解释了宇宙的暗能量.
英文摘要：
We study global scale invariance along with the unimodular gravity in the vacuum. The global scale invariant gravitational action which follows the unimodular general coordinate transformations is considered without invoking any scalar field. This is generalization of conformal theory described in the Ref. \cite{Mannheim}. The possible solutions for the gravitational potential under static linear field approximation are discussed. The new modified solution has additional corrections to the Schwarzschild solution which describe the galactic rotational curve. A comparative study of unimodular theory with conformal theory is also presented. Furthermore, the cosmological solution is studied and it is shown that the unimodular constraint preserve the de Sitter solution explaining the dark energy of the universe.
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