标题： 运动相似的热传导和荷电解 显示英文标题

标题： Kinematic Self-Similar Heat Conducting and Charge Solutions

摘要： 本文的研究目的是探讨爱因斯坦场方程的平面对称运动相似热传导流体和带电尘埃解。 这些解根据不同物态方程按第一类、第二类、零类和无穷类的运动相似性进行分类。 我们将运动相似矢量设定为倾斜、正交和平行于流体流动。 对于热传导流体，在平行情况下仅存在 \emph{一个} 解。在所有其他可能性中，这些解退化为完美流体运动相似解。 对于带电尘埃情况，我们也仅得到 \emph{一个} 运动相似解。 显示英文摘要

摘要： The objective of this paper is to study the plane symmetric kinematic self-similar heat conducting fluid and charge dust solutions of the Einstein field equations. These solutions are classified according to self-similarity of the first, second, zeroth and infinite kinds with different equations of state. We take the self-similar vector to be tilted, orthogonal and parallel to the fluid flow. For heat conducting fluid, it is found that there exist only \emph{one} solution in parallel case. In all other possibilities, these solutions reduce to the perfect fluid kinematic self-similar solutions. For charge dust case, we also obtain only \emph{one} kinematic self-similar solution.