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Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle
Інший ID:
2000 Mathematics Subject Classification: 83C40; 70S10
Посилання:
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.
Підтримка:
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.
Дата:
2007
Переглядів:
647
Завантажень:
281
Анотація:
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.
