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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 115, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.115 (Mi sigma241) 		 
This article is cited in 28 scientific papers (total in 28 papers)

Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner–Nordström Metric and Re-Scaling of Energy of a Test Particle

Ibrar Hussainab, Fazal M. Mahomedc, Asghar Qadirab

a Centre for Advanced Math. and Phys., National University of Sciences and Technology
b Campus of the College of Electr. and Mech. Eng., Peshawar Road, Rawalpindi, Pakistan
c School of Computational and Applied Mathematics, University of the Witwatersrand, Wits 2050, South Afric
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DOI: https://doi.org/10.3842/SIGMA.2007.115
Abstract: 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.
Keywords: Reissner–Nordström metric; geodesic equations; second-order approximate symmetries.
Received: August 14, 2007; in final form November 16, 2007; Published online December 7, 2007
Bibliographic databases:
Document Type: Article
MSC: 83C40; 70S10
Language: English
Citation: 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”, SIGMA, 3 (2007), 115, 9 pp.
Citation in format AMSBIB
\Bibitem{HusMahQad07}
\by Ibrar Hussain, Fazal M.~Mahomed, Asghar Qadir
\paper Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner--Nordstr\"om Metric and
Re-Scaling of Energy of a~Test Particle
\jour SIGMA
\yr 2007
\vol 3
\papernumber 115
\totalpages 9
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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