  We study charge ordered d-wave resonating valence bond states (dRVB) in the
doped cuprates, and estimate the energies of these states in a generalized $t-J
$ model by using a renormalized mean field theory. The long range Coulomb
potential tends to modulate the charge density in favor of the charge ordered
RVB state. The possible relevance to the recently observed $4 \times 4$
checkerboard patterns in tunnelling conductance in high $T_c$ cuprates is
discussed.
