A. Qadir et M. Ziad, THE CLASSIFICATION OF SPHERICALLY SYMMETRICAL SPACE-TIMES, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 110(3), 1995, pp. 317-334
A complete classification of spherically symmetric space-times accordi
ng to their isometries and metrics (or classes of metrics) is obtained
by solving the Killing equations. It is demonstrated that a symmetry
given by Turkowski does not correspond to any metric.