Complete classification of static Bertotti–Robinson spacetime and its physical significance

The Bertotti–Robinson (BR) spacetime is an important class of spherically symmetric spacetime. It is a conformally flat and static solution of the Einstein–Maxwell equations. In this article a complete list of the BR spacetime is obtained according to the Noether symmetries. This classification not only classifies the said spacetime but also provides Noether symmetries and conservation laws along with each class.