The supercooled and stretched regions of the phase diagram of simulate
d liquid water are investigated by calculating the equation of state o
f the ST2 pair-potential. We find that simulated water does not displa
y a re-entrant spinodal and that the projection of the density maximum
line in the plane of pressure and temperature becomes positively slop
ed on stretching. The well known anomalous behavior of supercooled wat
er is tentatively associated with the existence of an inaccessible cri
tical point. Evidence is presented that suggests the association of th
is new critical point with the transition between low density and high
density amorphous solid water.