A mathematical note about a FLRW universe embedded in a universe without time

Abstract In this paper we propose to study a six-dimensional Friedmann-Lemaître-Robertson-Walker (FLRW) universe without time. The way we study this timeless universe is the classic one: we highlight future oriented time-like loops and closed chains of future oriented time-like curves. Inside this six-dimensional FLRW universe it is embedded a four-dimensional classical FLRW universe.