Periodic Signature Change in Spacetimes of Embedding Class One

The idea of an oscillating Universe has remained a topic interest even after the discovery dark energy. This paper confirms this by means another well-established theory in general relativity, embedding curved spacetimes higher-dimensional flat spacetimes: n-dimensional Riemannian space is said to be class m if +n lowest dimension which given can embedded; here . So four-dimensional two and therefore embedded six-dimensional space. A line element reduced one suitable coordinate transformation. extra either spacelike or timelike, leading accelerating decelerating expansions, respectively. Accordingly, it proposed that free parameter occurring transformation periodic function time. result mathematical model interpreted as change signature may best for complements various models literature.