2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34725A subclassification of stationary spacetimes, endowed with one timelike and one spacelike Killing vectors, i.e., Petrov $G{_2}I$ on $T_2$ spaces, is proposed. Special attention deserves the Collison's theorem [1] and the branch of metrics circularly cyclicly (axially) symmetric possessing additionally the conformal flatness property reported by Garcia and Campuzano [2].2 pages, RevTeXGeneral Relativity and Quantum Cosmologytext