  Recently, the complete action for an N=1 pure supergravity action in 4
dimensions that allows a positive, negative or zero cosmological constant has
been constructed. The action is the generalization of a Volkov-Akulov action
for the Goldstino coupled to supergravity. The construction uses a nilpotent
multiplet.
  This paper is written in honour of Philippe Spindel. AVP enjoyed
collaborations and many interactions with Philippe, who has always appreciated
very precise derivations. We use this occasion to give a very detailed account
of the calculations that lead to the published results. We review aspects of
supersymmetry with de Sitter backgrounds, the treatment of auxiliary fields,
and other ingredients in the construction.
