Axial Symmetry Cosmological Constant Vacuum Solution of Field Equations with a Curvature Singularity, Closed Time-Like Curves, and Deviation of Geodesics
In this paper, we present a type D, nonvanishing cosmological constant, vacuum solution of Einstein’s field equations, extension of an axially symmetric, asymptotically flat vacuum metric with a curvature singularity. The space-time admits closed time-like curves (CTCs) that appear after a certain i...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/8265872 |
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| author | Faizuddin Ahmed Bidyut Bikash Hazarika Debojit Sarma |
| author_facet | Faizuddin Ahmed Bidyut Bikash Hazarika Debojit Sarma |
| author_sort | Faizuddin Ahmed |
| collection | DOAJ |
| description | In this paper, we present a type D, nonvanishing cosmological constant, vacuum solution of Einstein’s field equations, extension of an axially symmetric, asymptotically flat vacuum metric with a curvature singularity. The space-time admits closed time-like curves (CTCs) that appear after a certain instant of time from an initial space-like hypersurface, indicating it represents a time-machine space-time. We wish to discuss the physical properties and show that this solution can be interpreted as gravitational waves of Coulomb-type propagate on anti-de Sitter space backgrounds. Our treatment focuses on the analysis of the equation of geodesic deviations. |
| format | Article |
| id | doaj-art-9a00f40de0e540c78230073e6c9bcded |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-9a00f40de0e540c78230073e6c9bcded2025-02-03T05:51:16ZengWileyAdvances in High Energy Physics1687-73571687-73652020-01-01202010.1155/2020/82658728265872Axial Symmetry Cosmological Constant Vacuum Solution of Field Equations with a Curvature Singularity, Closed Time-Like Curves, and Deviation of GeodesicsFaizuddin Ahmed0Bidyut Bikash Hazarika1Debojit Sarma2Maryam Ajmal Women’s College of Science & Technology, Hojai, 782435 Assam, IndiaDepartment of Physics, Cotton University, Guwahati, 781001 Assam, IndiaDepartment of Physics, Cotton University, Guwahati, 781001 Assam, IndiaIn this paper, we present a type D, nonvanishing cosmological constant, vacuum solution of Einstein’s field equations, extension of an axially symmetric, asymptotically flat vacuum metric with a curvature singularity. The space-time admits closed time-like curves (CTCs) that appear after a certain instant of time from an initial space-like hypersurface, indicating it represents a time-machine space-time. We wish to discuss the physical properties and show that this solution can be interpreted as gravitational waves of Coulomb-type propagate on anti-de Sitter space backgrounds. Our treatment focuses on the analysis of the equation of geodesic deviations.http://dx.doi.org/10.1155/2020/8265872 |
| spellingShingle | Faizuddin Ahmed Bidyut Bikash Hazarika Debojit Sarma Axial Symmetry Cosmological Constant Vacuum Solution of Field Equations with a Curvature Singularity, Closed Time-Like Curves, and Deviation of Geodesics Advances in High Energy Physics |
| title | Axial Symmetry Cosmological Constant Vacuum Solution of Field Equations with a Curvature Singularity, Closed Time-Like Curves, and Deviation of Geodesics |
| title_full | Axial Symmetry Cosmological Constant Vacuum Solution of Field Equations with a Curvature Singularity, Closed Time-Like Curves, and Deviation of Geodesics |
| title_fullStr | Axial Symmetry Cosmological Constant Vacuum Solution of Field Equations with a Curvature Singularity, Closed Time-Like Curves, and Deviation of Geodesics |
| title_full_unstemmed | Axial Symmetry Cosmological Constant Vacuum Solution of Field Equations with a Curvature Singularity, Closed Time-Like Curves, and Deviation of Geodesics |
| title_short | Axial Symmetry Cosmological Constant Vacuum Solution of Field Equations with a Curvature Singularity, Closed Time-Like Curves, and Deviation of Geodesics |
| title_sort | axial symmetry cosmological constant vacuum solution of field equations with a curvature singularity closed time like curves and deviation of geodesics |
| url | http://dx.doi.org/10.1155/2020/8265872 |
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