  We derive spherically symmetric solutions of the classical \lambda-R model, a
minimal, anisotropic modification of general relativity with a preferred
foliation and two local degrees of freedom. Starting from a 3 + 1 decomposition
of the four-metric in a general spherically symmetric ansatz, we perform a
phase space analysis of the reduced model. We show that its constraint algebra
is consistent with that of the full \lambda-R model, and also yields a constant
mean curvature or maximal slicing condition as a tertiary constraint. Although
the solutions contain the standard Schwarzschild geometry for the general
relativistic value \lambda = 1 or for vanishing mean extrinsic curvature K,
they are in general non-static, incompatible with asymptotic flatness and
parametrized not only by a conserved mass. We show by explicit computation that
the four-dimensional Ricci scalar of the solutions is in general time-dependent
and nonvanishing.
