Cylindrically symmetric self-gravitating fluids with pressure equal to energy density

Abstract

Solutions of Einstein's field equations are obtained under the assumption that (1) the source of the gravitational field is a perfect fluid with pressure p, equal to energy density ρ{variant}, (2) the space time is cylindrically symmetric with two degrees of freedom, and (3) the metric is given by three functions of two variables. The co-ordinate transformation to comoving coordinate is discussed. The Hawking-Penrose energy conditions and Thorne's C-energy are also studied. Some physically interesting solutions are obtained. The relation of the present work to Einstein-Rosen waves is also investigated. © 1978 with the authors.