Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse

We present a cylindrically symmetric, Petrov type D, nonexpanding, shear-free, and vorticity-free solution of Einstein’s field equations. The spacetime is asymptotically flat radially and regular everywhere except on the symmetry axis where it possesses a naked curvature singularity. The energy-mome...

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Main Author: Faizuddin Ahmed
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2017/7943649
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author Faizuddin Ahmed
author_facet Faizuddin Ahmed
author_sort Faizuddin Ahmed
collection DOAJ
description We present a cylindrically symmetric, Petrov type D, nonexpanding, shear-free, and vorticity-free solution of Einstein’s field equations. The spacetime is asymptotically flat radially and regular everywhere except on the symmetry axis where it possesses a naked curvature singularity. The energy-momentum tensor of the spacetime is that for an anisotropic fluid which satisfies the different energy conditions. This spacetime is used to generate a rotating spacetime which admits closed timelike curves and may represent a Cosmic Time Machine.
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series Advances in High Energy Physics
spelling doaj-art-f82fe5ad24924c16938e5872892d7fba2025-02-03T06:13:24ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/79436497943649Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter CollapseFaizuddin Ahmed0Department of Physics, Cotton College, Guwahati 781 001, IndiaWe present a cylindrically symmetric, Petrov type D, nonexpanding, shear-free, and vorticity-free solution of Einstein’s field equations. The spacetime is asymptotically flat radially and regular everywhere except on the symmetry axis where it possesses a naked curvature singularity. The energy-momentum tensor of the spacetime is that for an anisotropic fluid which satisfies the different energy conditions. This spacetime is used to generate a rotating spacetime which admits closed timelike curves and may represent a Cosmic Time Machine.http://dx.doi.org/10.1155/2017/7943649
spellingShingle Faizuddin Ahmed
Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse
Advances in High Energy Physics
title Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse
title_full Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse
title_fullStr Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse
title_full_unstemmed Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse
title_short Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse
title_sort cylindrically symmetric asymptotically flat petrov type d spacetime with a naked curvature singularity and matter collapse
url http://dx.doi.org/10.1155/2017/7943649
work_keys_str_mv AT faizuddinahmed cylindricallysymmetricasymptoticallyflatpetrovtypedspacetimewithanakedcurvaturesingularityandmattercollapse