With more than 2000 exoplanets discovered within a bunch of quite different configuration of distance from the star, size, mass, and atmospheric conditions, the probability to found habitable planets should increase dramatically.

While the habitable zone is usually only seen as a snapshot to assess habitability, the intrinsic evolution of the stellar parameters must be taken into account to study the past and future evolution of the habitable zone limits. Indeed, this evolution can strongly affect the notion of habitability currently used in the literature, especially through the definition of the continuous habitable zone required for the emergence of complex life.

The aim of this talk is to highlight the impact of stellar parameter such as metallicity, mass, and rotation on the habitable zone limits and to show that the intrinsic evolution of the stellar parameters should not been neglected anymore.