Spherically symmetric spacetimes in the context of the compacted spin coefficient formalism

The equations governing the geometry of spherically symmetric spacetimes, are written in a coordinate independent way in the context of the compacted spin coefficient formalism. The necessary and sufficient conditions in order that a spherically symmetric spacetime admits a Killing vector or a Killing tensor orthogonal to the spherical group orbits are given. In the same context, the equations describing static and spherically symmetric perfect fluid spacetimes are also given.