特殊相对论流体的能量动量张量及相对论与非相对论流体在新标度下的联系
Energy-momentum tensor of special relativistic fluids and Connection of relativistic and non-relativistic fluids in the new scaling
摘要：
本文研究了在平直度规中具有可忽略磁场的相对论流体。引入了等维标度，在此标度中，一个变量的所有相似分量具有相同的维数。在柱、球坐标系中计算了剪切张量、体张量、热通量张量和能量动量张量的分量，这些分量都是在等维尺度下导出的。在相对论流体的极限下，导出了非相对论剪切张量、体张量和热流张量以及能量动量张量分量。此外，相对论性和非相对论性流体的连接。从而揭示了相对论性流体与非相对论性流体的一些区别，如相对论性流体中速度对时间的导数、剪切应力张量、速度和温度的导数、热流能量动量张量等。
英文摘要：
In this paper, the relativistic fluids with the negligible magnetic field in the flat metric are studied. The iso-dimension scale in introduced, in this scale, all similar components of a variable have the same dimension. Also, the components of shear, bulk and heat flux tensors and the components of energy-momentum tensors are calculated in the cylindrical and spherical coordinate systems, all these components are derived in the iso-dimension scale. The non-relativistic shear, bulk and heat flux tensors and the components of energy-momentum tensor are derived in the limit of the relativistic fluids. Also, the connection of relativistic and non-relativistic fluids are seen. So, some distinctions of relativistic and non-relativistic fluids are displayed, for example in the relativistic fluids, the time derivative of velocity is created the shear stress tensor and derivative of velocity and temperature is created the heat flux energy-momentum tensor, etc.
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