Abstract.A standard planetary nebula stays more than 10 000 years in the state of a photoionized nebula. As long as the timescales of the most important ionizing processes are much smaller, the ionization state can be characterized by a static photoionization model and simulated with codes like CLOUDY (Ferland et al. 1998). When the star exhibits a late helium flash, however, its ionizing flux stops within a very short period. The star then re-appears from its opaque shell after a few years (or centuries) as a cold giant star without any hard ionizing photons. Describing the physics of such behavior requires a fully time-dependent radiative transfer model. Pollacco (1999), Kerber et al. (1999) and Lechner & Kimeswenger (2004) used data of the old nebulae around V605 Aql and V4334 Sgr to derive a model of the pre-outburst state of the CSPN in a static model. Their argument was the long recombination time scale for such thin media. With regard to these models Schönberner (2008) critically raised the question whether a significant change in the ionization state (and thus the spectrum) has to be expected after a time of up to 80 years, and whether static models are applicable at all.Keywords. radiation mechanisms: general, ISM: general, planetary nebulae: individual (V604 Aql, V4334 Sgr)We use the transport equation formalism presented in the appendix of Binette et al. (2003) to describe the evolution of the nebula after the rapid change of the central star. As extensions to their model we also take He and the CNO elements into account, both as source of free electrons and as absorbing species. Also, we use a realistic stellar photosphere model for the input radiation field, and, as we investigate the evolution for a large change of the input radiation field, we do not use their monochromatic approach of a single mean frequency. The system is solved using a classical splitting scheme and the pressure and temperature are calculated using an explicit solver. The physical parameters were taken from Osterbrock & Ferland (2006) and Gnat & Sternberg (2007). The initial conditions were calculated by CLOUDY. For the evolution of the "born-again" star in the Hertzsprung-Russell-Diagramm the tracks as used in van Hoof et al. (2007) were applied.The nebulae of the "born-again" central stars recombine extremely slowly. The hydrogen and helium timescales dominate the whole process. Pollacco (1999) raised the question about the oxygen recombination time scale. As single species it would be only about one decade. The coupling of the oxygen processes with that of the helium, however, slows down the recombination, as long as He II exists, to a rate even below that of hydrogen.
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