  There is a theorem known as a Virial theorem that restricts the possible
existence of non-trivial static solitary waves with scalar fields in a flat
space-time with 3 or more spatial dimensions. This raises the following
question: Does the analogous curved space-time version hold?. We investigate
the possibility of solitons in a 4-D curved space-time with a simple model
using numerical analysis. We found that there exists a static solution of the
proposed non linear wave equation. This proves that in curved space-time the
possibilities of solitonic solutions is enhanced relative to the flat
space-time case.
