论文标题
带有EOS参数W = -1/6的一般静态球形完美流体溶液
The general static spherical perfect fluid solution with EoS parameter w=-1/6
论文作者
论文摘要
静态球体对称度量的一般分析解决方案在撰写本文时尚不清楚具有比例方程式$ p =wρ$的完美流体,除了琐碎的情况$ w = 0 $和$ w = -1 $之外,尚不清楚。对于$ W = -1/3 $,最近报告的$ W = -1/5 $。我们表明,正如最近的另一项工作所预测的那样,$ W = -1/6 $也可以在分析上解决。该溶液受已知溶液的布克达尔转化的影响。
The general analytical solution for the static spherically symmetric metric supported by a perfect fluid with proportional-equation-of-state $p = w ρ$ is not known at the time of this writing, except for the trivial cases $w=0$ and $w=-1$; for $w=-1/3$, and the recently reported $w=-1/5$. We show that the case $w=-1/6$ is also analytically solvable, as predicted in another recent work. The solution is affected by a Buchdahl transformation of a known solution.