Spacetimes containing slowly evolving horizons
  Slowly evolving horizons are trapping horizons that are "almost" isolated horizons. This paper reviews their definition and discusses several spacetimes containing such structures. These include certain Vaidya and Tolman-Bondi solutions as well as (perturbatively) tidally distorted black holes. Taking into account the associated mass scales, they also suggest that slowly evolving horizons are the norm rather than the exception in astrophysical processes that involve stellar-scale black holes. 
W. Kavanagh, I. Booth