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A study of Einstein’s equations of unified field

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Il Nuovo Cimento (1955-1965)

Summary

Only a few months before his death,Einstein revised his equation of unified field theory of relativity without assuming anya priori given condition. He considered these equations as more transparent than the previous ones. These equations will be studied and solved in tensorial form in a series of papers. In this paper, which is the first of the series, the form of the solution of the first system of equations is obtained and it has been shown that the linearized forms of these equations is the same as those of previous ones. Another set of field equations has also been obtained and studied on the same lines.

Riassunto

Appena pochi mesi prima della sua morteEinstein revisionÒ la sua equazione della teoria relativistica dei campi unificati senza porre alcuna condizione data apriori. ConsiderÒ queste equazioni corne più trasparenti delle preoedenti. In una serie di articoli studieremo queste equazioni e le risolveremo in forma tensoriale. Nel presente lavoro, il primo delia serie, troviamo la forma delia soluzione del primo sistema di equazioni e dimostriamo che la forma linearizzata di tali equazioni è la stessa delie preoedenti. Si ottiene, inoltre, e si studia seoondo gli stessi concetti un altro sistema di. equazioni.

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References

  1. A. Einstein:Meaning of Relativity, fifth edition (Princeton, 1955), App. II.

  2. V. Hlavatý :Geometry of Einstein’s Unified Field Theory (1958).

  3. M. A. Tonnelat:La Théorie du Champ unifié d’Einstein et quelques-uns de ces developpements (Paris, 1955).

  4. A. Einstein:Meaning of Relativity, fourth edition (Princeton, 1953), App. II.

  5. A. Einstein andE. G. Straus:Annals of Mathematics (Princeton, 1947), p. 731.

  6. K. Yano andS. Bochner:Curvature and Betti Numbers (Princeton, 1953).

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Mishba, B.S. A study of Einstein’s equations of unified field. Nuovo Cim 8, 632–642 (1958). https://doi.org/10.1007/BF02815244

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  • DOI: https://doi.org/10.1007/BF02815244

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