Deflection angle of a massless particle under Reissner-Nordström's metric.

Physics

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Gravitational Deflection

Scientific paper

The perturbation method of Poincaré and Lindstedt (1957) has been used to find the asymptotic expression of a massless particle under the Reissner-Nordström metric. From this analytical expression, the deflection angle of a massless particle is expressed as a rapidly convergent power series of a perturbation parameter, whose leading term is the well-known Einstein deflection angle. This power series was verified in two limiting cases in which the charge parameter or the Schwarzschild radius tends to zero.

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