Static stringlike solutions in five-dimensional relativity. II (Q2737988)

In the present paper, nonradiative cylindrically symmetric five-dimensional vacuum solutions (static string solutions) to the Einstein equations and corresponding four-dimensional induced-matter energy-momentum tensor are found. Separating the vacuum five-dimensional Einstein equations for a metric depending on a radius and the extra coordinate nonzero separation constants exist for which the four-dimensional fluid is not of the relativistic type with the equation of state depending on the ``radial'' and the fifth coordinates. Using radially falling geodesics, decomposition of the four-dimensional induced-matter energy-momentum tensor for imperfect fluid into perfect, heat, and viscous part is also found. NEWLINENEWLINENEWLINEFor Part I, see ibid. 39, 5421-5426 (1998; Zbl 0927.53040).