G. Date, ON A STATIC SOLUTION OF THE EINSTEIN EQUATION WITH INCOMING AND OUTGOING RADIATION, General relativity and gravitation, 29(8), 1997, pp. 953-971
The Einstein equation with T-mu nu = k(mu)k(nu) + l(mu)l(nu) where k,l
are null is considered with spherical symmetry and staticity. The sol
ution has a naked singularity and is not asymptotically Aat. However,
it may be interpreted as an envelope for any static spherical body mak
ing it more massive. Such an interpretation and some of its implicatio
ns are detailed.