  The general analytical solution for the static spherically symmetric metric
supported by a perfect fluid with isothermal (proportional) equation-of-state
$p = w \rho$ 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.
