标题： 带有热流的新电荷无剪切相对论模型 显示英文标题

标题： New charged shear-free relativistic models with heat flux

摘要： 我们研究具有热流和电荷的无剪切球对称相对论引力流体。爱因斯坦-麦克斯韦系统的解由广义压力各向同性条件控制，该条件包含电场的贡献。这个条件是一个高度非线性的偏微分方程。我们使用李群理论方法分析这个主方程。找到使方程不变的李对称生成元。第一个生成元与电磁场无关。第二个生成元关键地依赖于电荷的形式，该形式在一般情况下被明确确定。我们利用方程所承认的对称性来提供引力势的精确解。我们的新精确解包含没有电荷的先前结果。我们表明，可以使用邓的算法生成与其他电荷解相关的解。这导致了新的带电邓模型类别，这些模型是共形平坦度规的推广。 显示英文摘要

摘要： We study shear-free spherically symmetric relativistic gravitating fluids with heat flow and electric charge. The solution to the Einstein-Maxwell system is governed by the generalised pressure isotropy condition which contains a contribution from the electric field. This condition is a highly nonlinear partial differential equation. We analyse this master equation using Lie's group theoretic approach. The Lie symmetry generators that leave the equation invariant are found. The first generator is independent of the electromagnetic field. The second generator depends critically on the form of the charge, which is determined explicitly in general. We provide exact solutions to the gravitational potentials using the symmetries admitted by the equation. Our new exact solutions contain earlier results without charge. We show that other charged solutions, related to the Lie symmetries, may be generated using the algorithm of Deng. This leads to new classes of charged Deng models which are generalisations of conformally flat metrics.