Abstract :
Using the method of prolongation we generate new stationary solutions from a recently obtained simple particular solution for relativistic transverse flow with cylindrical symmetry in 1+3 dimension. This is an extension of the longitudinal Bjorken flow ansatz and can be applied to situations during a first order phase transition in a fast expanding system. The prolongated solution allows us to trace back the flow profile from any transverse flow conjectured at the end of the phase transition.