2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104449A generalization of the notion of surfaces of revolution in the spaces of General Relativity is presented. We apply this definition to the case of Carter's family [A] of solutions and we study the Kerr's metric with respect the above mentioned foliation.21 pages, research paper, submitted to "Classical and Quantum Gravity"General Relativity and Quantum Cosmologytext