Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle
Following the use of approximate symmetries for the Schwarzschild spacetime by A.H. Kara, F.M. Mahomed and A. Qadir (Nonlinear Dynam., to appear), we have investigated the exact and approximate symmetries of the system of geodesic equations for the Reissner-Nordström spacetime (RN). For this purpose...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2007-12-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2007/115/ |
| _version_ | 1828858460311126016 |
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| author | Ibrar Hussain Fazal M. Mahomed Asghar Qadir |
| author_facet | Ibrar Hussain Fazal M. Mahomed Asghar Qadir |
| author_sort | Ibrar Hussain |
| collection | DOAJ |
| description | Following the use of approximate symmetries for the Schwarzschild spacetime by A.H. Kara, F.M. Mahomed and A. Qadir (Nonlinear Dynam., to appear), we have investigated the exact and approximate symmetries of the system of geodesic equations for the Reissner-Nordström spacetime (RN). For this purpose we are forced to use second order approximate symmetries. It is shown that in the second-order approximation, energy must be rescaled for the RN metric. The implications of this rescaling are discussed. |
| first_indexed | 2024-12-13T01:58:17Z |
| format | Article |
| id | doaj.art-e68e2cea901544b6bd236a83a7677542 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-13T01:58:17Z |
| publishDate | 2007-12-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-e68e2cea901544b6bd236a83a76775422022-12-22T00:03:21ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-12-013115Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test ParticleIbrar HussainFazal M. MahomedAsghar QadirFollowing the use of approximate symmetries for the Schwarzschild spacetime by A.H. Kara, F.M. Mahomed and A. Qadir (Nonlinear Dynam., to appear), we have investigated the exact and approximate symmetries of the system of geodesic equations for the Reissner-Nordström spacetime (RN). For this purpose we are forced to use second order approximate symmetries. It is shown that in the second-order approximation, energy must be rescaled for the RN metric. The implications of this rescaling are discussed.http://www.emis.de/journals/SIGMA/2007/115/Reissner-Nordström metricgeodesic equationssecond-order approximate symmetries |
| spellingShingle | Ibrar Hussain Fazal M. Mahomed Asghar Qadir Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle Symmetry, Integrability and Geometry: Methods and Applications Reissner-Nordström metric geodesic equations second-order approximate symmetries |
| title | Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle |
| title_full | Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle |
| title_fullStr | Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle |
| title_full_unstemmed | Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle |
| title_short | Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle |
| title_sort | second order approximate symmetries of the geodesic equations for the reissner nordstrom metric and re scaling of energy of a test particle |
| topic | Reissner-Nordström metric geodesic equations second-order approximate symmetries |
| url | http://www.emis.de/journals/SIGMA/2007/115/ |
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