论文标题
带有EOS参数W = -1/5的一般静态球形完美流体溶液
The general static spherical perfect fluid solution with EoS parameter w=-1/5
论文作者
论文摘要
静态对称度量的一般分析解决方案在撰写本文时尚不清楚，该静态对称度量由等温（比例）等式$ p = wρ$支撑，除了琐碎的情况$ W = 0 $和$ W = -1 $；并且对于$ W = -1/3 $。我们表明，如果使用了buchdahl坐标，则该问题在$ W = -1/5 $的分析上可以解决；显示和讨论解决方案，并展示这种情况与$ W = -1 $案例的连接。
The general analytical solution for the static spherically symmetric metric supported by a perfect fluid with isothermal (proportional) equation-of-state $p = w ρ$ is not known at the time of this writing, except for the trivial cases $w=0$ and $w=-1$; and for $w=-1/3$. We show that if Buchdahl coordinates are used, the problem becomes analytically solvable for $w=-1/5$; display and discuss the solution(s), and exhibit the connection of this case to the $w=-1$ case.
