Effective temperatures of embedded cores as a function of the central pressure in the filament, which is assumed to be either a self-gravitating sphere or a self-gravitating cylinder. In case a), the dust emissivities are the apparent values of the modified back-body appromixation, while in b) the apparent emissivities are increased by a factor 8. The external pressure outside of the filaments is assumed to be 2  ×  10⁴, 10⁵, and 10⁶   K/cm³. The filaments are heated either by the ISRF as provided by Mathis et al. (1982) (grey lines) or by an ISRF where the diffuse dust emission is added.