Analytic solution for relativistic transverse flow at the softest point

Abstract

We obtain an extension of Bjorken's 1+1 dimensional scaling relativistic flow solution to relativistic transverse velocities with cylindrical symmetry in 1+3 dimensions at constant, homogeneous pressure (vanishing sound velocity). This can be the situation during a first order phase transition converting quark matter into hadron matter in relativistic heavy ion collisions.

Comments: 9 pages LaTeX, 1 .eps figure, Figure replaced by another presentation showing contour-lines of QGP-hadron phase mixtures in the longitudinal time - transverse radius plane. To appear in Phys.Lett.B