Electrostatic interaction of a pointlike charge with a wormhole - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: A pointlike electric charge at rest is considered in the spacetime which is awormhole connecting two otherwise Minkowskian spaces. The potential i. e. asolution of the Maxwell equations is split into two parts: one of them dependsonly on the value and location of the charge, while the other, on the contrary,does not change when the charge is quasistatically moved. Correspondingly, theformer is interpreted as being generated by the charge, and the latter as beingsource-free. It is shown that all source-free potentials differ in the fluxthrough the throat no -multipoles without multipoles-, which enables one tointerpret the flux as the -charge- of the wormhole in agreement with Wheeler-sconcept of -charge without charge-. The potential generated by the chargediffers from Coulomb-s and thus a force called -self-force- acts on thecharge even in the absence of the source-free field. This force is foundexplicitly in the limit of vanishing throat length. The result differs fromthat obtained recently by Khusnutdinov and Bakhmatov.



Author: S. Krasnikov

Source: https://arxiv.org/







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