Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine
We present a gravitational collapse null dust solution of the Einstein field equations. The space-time is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity and admits one parameter isometry group, a generator of axial symmetry along the cylinder which ha...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/3587018 |
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| author | Faizuddin Ahmed |
| author_facet | Faizuddin Ahmed |
| author_sort | Faizuddin Ahmed |
| collection | DOAJ |
| description | We present a gravitational collapse null dust solution of the Einstein field equations. The space-time is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity and admits one parameter isometry group, a generator of axial symmetry along the cylinder which has closed orbits. The space-time admits closed timelike curves (CTCs) which develop at some particular moment in a causally well-behaved manner and may represent a Cosmic Time Machine. The radial geodesics near the singularity and the gravitational lensing (GL) will be discussed. The physical interpretation of this solution, based on the study of the equation of the geodesic deviation, will be presented. It was demonstrated that this solution depends on the local gravitational field consisting of two components with amplitudes Ψ2 and Ψ4. |
| format | Article |
| id | doaj-art-ec993e98ccb147ea9aef14fd8c58c2ab |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-ec993e98ccb147ea9aef14fd8c58c2ab2025-02-03T01:12:28ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/35870183587018Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time MachineFaizuddin Ahmed0Hindustani Kendriya Vidyalaya, Dinesh Ojha Road, Guwahati 781005, IndiaWe present a gravitational collapse null dust solution of the Einstein field equations. The space-time is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity and admits one parameter isometry group, a generator of axial symmetry along the cylinder which has closed orbits. The space-time admits closed timelike curves (CTCs) which develop at some particular moment in a causally well-behaved manner and may represent a Cosmic Time Machine. The radial geodesics near the singularity and the gravitational lensing (GL) will be discussed. The physical interpretation of this solution, based on the study of the equation of the geodesic deviation, will be presented. It was demonstrated that this solution depends on the local gravitational field consisting of two components with amplitudes Ψ2 and Ψ4.http://dx.doi.org/10.1155/2017/3587018 |
| spellingShingle | Faizuddin Ahmed Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine Advances in High Energy Physics |
| title | Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine |
| title_full | Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine |
| title_fullStr | Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine |
| title_full_unstemmed | Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine |
| title_short | Axially Symmetric Null Dust Space-Time, Naked Singularity, and Cosmic Time Machine |
| title_sort | axially symmetric null dust space time naked singularity and cosmic time machine |
| url | http://dx.doi.org/10.1155/2017/3587018 |
| work_keys_str_mv | AT faizuddinahmed axiallysymmetricnulldustspacetimenakedsingularityandcosmictimemachine |