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Poincaré stress and the Reissner-Nordström repulsion

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Abstract

The Reissner-Nordström repulsion is shown to be a consequence of Poincaré stresses in a static, charged object. The strong energy condition implies that the Reissner-Nordström repulsions do not stop a neutral test particle, falling freely from rest at infinity in the fields of a charged body, before it hits the surface of the body. However, if the particle falls from rest at a sufficiently small height above the surface of the body, it will not reach the surface due to the Reissner-Nordström repulsion.

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Grøn, Ø. Poincaré stress and the Reissner-Nordström repulsion. Gen Relat Gravit 20, 123–129 (1988). https://doi.org/10.1007/BF00759322

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