论文标题
GR中的刚性旋转和病毒定理的概括
Rigid rotation in GR and a generalization of the virial theorem
论文作者
论文摘要
在这项工作中，我们研究了一般相对论中刚性旋转中性灰尘溶液的性质。由于对螺旋星系的动力学应用，这类解决方案最近获得了相关性。我们表明，该类别可以解释为一般相对论中的刚体，我们分析了与特殊相对论中刚性旋转磁盘相关的不同特性：例如，一般的相对论对应物在任何两个点在静止身体上从任意两点发出的光信号均未显示多普勒效应。这种效果对于测试我们银河系假定模型的有效性可能很重要。在第二部分中，我们从低能扩张的角度解决了问题，并写下了病毒定理的固定空间概括。非牛顿的贡献可能会导致星系中的暗物质重新加权。
In this work we study the properties of rigidly rotating neutral dust solutions in general relativity. This class of solutions gained relevance recently due to applications to the dynamics of spiral galaxies. We show that this class could be interpreted as a rigid body in general relativity and we analyze the different properties respect to the rigidly rotating disk in special relativity: for example, the general relativistic counterpart shows no Doppler effect for a light signal emitted and received from any two points at rest respect to the rigid body. This effect can be important to test the validity of the assumed model for our galaxy. In the second part we approach the problem from a low energy expansion perspective and we write down a generalization of the virial theorem for stationary spacetimes. The non-Newtonian contributions can lead to a re-weighting of dark matter in galaxies.
