Abstract
Solutions ofEinstein’s field equations are obtained under the assumption that (1) the source of the gravitational field is a perfect fluid with pressurep, equal to energy density ϱ, (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. TheHawking-Penrose energy conditions andThorne’s C-energy are also studied. Some physically interesting solutions are obtained. The relation of the present work toEinstein-Rosen waves is also investigated.
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Singh, T., Yadav, R.B.S. Cylindrically symmetric self-gravitating fluids with pressure equal to energy density. Acta Physica 45, 107–112 (1978). https://doi.org/10.1007/BF03156143
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DOI: https://doi.org/10.1007/BF03156143