  Regular (non-singular) space-times are given which describe the formation of
a (locally defined) black hole from an initial vacuum region, its quiescence as
a static region, and its subsequent evaporation to a vacuum region. The static
region is Bardeen-like, supported by finite density and pressures, vanishing
rapidly at large radius and behaving as a cosmological constant at small
radius. The dynamic regions are Vaidya-like, with ingoing radiation of positive
energy flux during collapse and negative energy flux during evaporation, the
latter balanced by outgoing radiation of positive energy flux and a surface
pressure at a pair creation surface. The black hole consists of a compact
space-time region of trapped surfaces, with inner and outer boundaries which
join circularly as a single smooth trapping horizon.
