  For spherical symmetry, we provide expressions for the radial null-null
components of the generalized Einstein tensor $E_{ab}$ for Lovelock models for
diagonal $E_{ab}$ in terms of the metric and of the radial null-null components
of the Ricci tensor. We show they can be usefully employed for example in
obtaining the Birkhoff-like theorem for Lovelock models, as well as in
providing a relation between the null energy and null convergence conditions
for the same models.
