A BIG-BANG CYLINDRICALLY SYMMETRICAL RADIATION UNIVERSE

A new nonstationary cylindrically symmetric solution to Einstein's equations is given for a perfect fluid. The solution has a time singularity (t = 0) at which the pressure p and density mu are equal to + infinity throughout the radial coordinate range 0 less-than-or-equal-to r < infinity, but for t > 0 the model is well behaved. The fluid has the equation of state p = 1/3-mu, and for any fixed t > 0 both p and mu are finite, decreasing monotonically to zero as r increases through the range 0 less-than-or-equal-to r < infinity. At any fixed r (0 less-than-or-equal-to r < infinity) both p and mu decrease steadily to zero as t increases through the range 0 less-than-or-equal-to t < infinity. The motion is irrotational, with shear, expansion and acceleration while the solution is algebraically general of Petrov type I.