On the stability of nonisothermal Bonnor-Ebert spheres. III. The role of
  chemistry in core stabilization
Aims. We investigate the effect of chemistry on the stability of starless cores against gravitational collapse. Methods. We combine chemical and radiative transfer simulations in the context of a modified Bonnor-Ebert sphere to model the effect of chemistry on the gas temperature, and study the effect of temperature changes on core stability. Results. We find that chemistry has in general very little effect on the nondimensional radius $\xi_{\rm out}$ which parametrizes the core stability. Cores that are initially stable or unstable tend to stay near their initial states, in terms of stability (i.e., $\xi_{\rm out} \sim$ constant), as the chemistry develops. This result is independent of the initial conditions. We can however find solutions where $\xi_{\rm out}$ decreases at late times ($t \gtrsim 10^6 \, \rm yr$) which correspond to increased stabilization caused by the chemistry. Even though the core stability is unchanged by the chemistry in most of the models considered here, we cannot rule out the possibility that a core can evolve from an unstable to a stable state owing to chemical evolution. The reverse case, where an initially stable core becomes ultimately unstable, seems highly unlikely. Conclusions. Our results indicate that chemistry should be properly accounted for in studies of star-forming regions, and that further investigations of core stability especially with hydrodynamical models are warranted.