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We investigate consequences of local energy-momentum conservation for initialeccentricity coefficients in heavy ion collisions at not too high energiesrelevant for CERN SPS and RHIC BES. Different models of energy densityavailable for pion production are considered. We study dependence ofeccentricity coefficients on space-time rapidity for different impactparameters. The naive formula how to define eccentricities breaks with ourinitial conditions and must be corrected. We predict considerableeccentricities for $\epsilon_{1,2,3,4}$ and specific dependence on space-timerapidity as well as on impact parameter for lower energies. The effect becomessmaller at larger energies when restricting to narrow rapidity interval arroundzero. Our predictions are in principle input for further hydrodynamicalevolution but it is not clear whether they can be easily used. Our initialcondition suggest a strong preequilibrium phase which is difficult formodelling.

Local energy-momentum conservation and initial conditions for  quark-gluon plasma evolution in nucleus-nucleus collisions at SPS and RHIC  BES energies