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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2007 |
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| Sprache: | English |
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Інститут математики НАН України
2007
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| Zitieren: | Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle / I. Hussain, F.M. Mahomed, A. Qadir // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 43 назв. — англ. |
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Hussain, I. Mahomed, F.M. Qadir, A. 2019-02-13T18:55:29Z 2019-02-13T18:55:29Z 2007 Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle / I. Hussain, F.M. Mahomed, A. Qadir // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 43 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 83C40; 70S10 https://nasplib.isofts.kiev.ua/handle/123456789/147192 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. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). IH would like to thank Pakistan Science Foundation (PSF) for their full financial support to attend the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics”, where this work was presented. AQ would like to thank the conference organizers for the local hospitality and International Mathematical Union (IMU) for the traveling grant and DECMA and the School for Computational and Applied Mathematics of the University of Witwatersrand, Johannesberg, where the writing-up was completed. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle |
| spellingShingle |
Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle Hussain, I. Mahomed, F.M. Qadir, A. |
| 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_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_sort |
second-order approximate symmetries of the geodesic equations for the reissner-nordström metric and re-scaling of energy of a test particle |
| author |
Hussain, I. Mahomed, F.M. Qadir, A. |
| author_facet |
Hussain, I. Mahomed, F.M. Qadir, A. |
| publishDate |
2007 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147192 |
| citation_txt |
Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle / I. Hussain, F.M. Mahomed, A. Qadir // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 43 назв. — англ. |
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2025-12-07T16:20:45Z |
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2025-12-07T16:20:45Z |
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