Cylindrical symmetric, non-rotating and non-static or static black hole solutions and the naked singularities

Abstract

In this work, a four-dimensional cylindrical symmetric and non-static or static space-times in the backgrounds of anti-de Sitter (AdS) space with perfect stiff fluid, anisotropic fluid and electromagnetic field as the stress-energy tensor, is presented. For suitable parameter conditions in the metric function, the solution represents non-static or static non-rotating black hole solution. In addition, we show for various parameter conditions, the solution represents static and/or non-static models with a naked singularity without an event horizon.

arXiv comment32 pages, 4 figures, typos corrected, accepted for the publication in European Physical Journal C. arXiv admin note: text overlap with arXiv:1811.01707; text overlap with arXiv:gr-qc/9609065 by other authors

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