  We study the structure of static spherical stars composed of non-relativistic
matter in linear massive gravity with or without the Fierz-Pauli (FP) tuning.
Adopting a polytropic equation of state, we construct master differential
equations for the stellar profile function, which is fourth order in the FP
theory or sixth order in generic non-FP theories, where the difference in the
differential order reflects the presence of a ghost spin-0 graviton in the
latter. In both cases, even when the spin-0 ghost is present, we find exact
solutions with finite radius for the polytropic indices n = 0 and 1. Analyzing
the dependences of the stellar radius, mass, and Yukawa charge on the graviton
masses, we observe that a discontinuous behavior arises in the massless limit
of the FP theory similarly to the van Dam-Veltman-Zakharov discontinuity, while
it is absent in non-FP theories. We discuss rough observational constraints on
the graviton masses.
