On the interpretation of cylindrically symmetric Levi-Civita spacetime for0 <=sigma <infinity

We study the Levi-Civita metric for values of its or parameter in the range 0 less than or equal to sigma < infinity. We show that the value sigma = ( 1)/(2) makes the axial and angular coordinates switch meaning. We present i ts geodesics and a physical source satisfying the energy conditions for the entire range of sigma. This source allows us to obtain an energy per unit length which agrees with the behaviour of the geodesics and the fact that t he solution has no event horizon.