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On the motion of charged particles in general relativity

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Il Nuovo Cimento (1955-1965)

Summary

In this paper two things are done:a) the procedure for obtaining the self-reaction terms according to Einstein’s method [see (1)] is expounded and greatly abbreviated by a dimensional consideration;b) the problem of the motion of two charged particles is solved with the aid of the «geodesic method » [see (7)].

Riassunto

Il presente lavoro comprende due parti:a) il procedimento per ottenere la forza di reazione secondo il metodo diEinstein [vedi (1)] è esposto e grandemente semplificato mediante una considerazione dimensionale;b) il problema del moto di due particelle cariche è risolto con l’aiuto del «metodo della geodetica » [vedi (7)].

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References

  1. SeeA. Einstein, L. Infeld andB. Hoffman:Ann. of Math.,39, 66 (1938).

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  2. An improved version is contained in:A. Einstein andL. Infeld:Can. Jour. of Math.,1, 209 (1949), here quoted as EI.

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  3. L. Infeld andP. Wallace:Phys. Rev.,57, 797 (1940).

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  4. A. Eddington:The mathematical theory of relativity (Cambridge, 1924), p. 253.

  5. D. M. Chase:Phys. Rev.,95, 243 (1954).

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  6. We call it the «geodesic method»:B. Bertotti:Nuovo Cimento,12, 226 (1594) (here quoted as G).

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  7. A. Eddington:The mathematical theory of relativity (Cambridge, 1924), p. 185. We use electrostatic units of charge.

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Author notes

  1. B. Bertotti

    Present address: the Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Italy

Authors and Affiliations

  1. Dublin Institute for Advanced Studies, Germany

    B. Bertotti

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  1. B. Bertotti
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Bertotti, B. On the motion of charged particles in general relativity. Nuovo Cim 2, 231–240 (1955). https://doi.org/10.1007/BF02855916

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  • DOI: https://doi.org/10.1007/BF02855916

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