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On the two-body problem in general relativity

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Il Nuovo Cimento (1943-1954)

Summary

The HEI [see footnote (1)] equations can be understood with the assumption that each body moves along a geodesic in the field of the other one, due regard being paid to the acceleration the second body experiences from the first.

Riassunto

Le equazioni di moto contenute in HEI [vedi nota (1)] trovano un’interpretazione nell’ipotesi che ogni corpo si muove secondo una geodetica nel campo dell’altro, tenuto debito conto dell’accelerazione che a questo è impressa dal primo.

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References

  1. A. Einstein, L. Infeld andB. Hoffmann:Ann. Math.,39, 66 (1938). Some improvements are in the second formulation:A. Einstein andL. Infeld:Can. Journ. Math.,1, 209 (1949).

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  2. L. Infeld andA. Schild:Rev. Mod. Phys.,21, 408 (1949).

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  3. A. S. Eddington:The Mathematical Theory of Relativity, pp. 93–94.

  4. C. Møller:The Theory of Relativity, p. 41.

  5. A. S. Eddintgon, l. c.The Mathematical Theory of Relativity, pp. 252–253.

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Additional information

On leave of absence from the Istituto Nazionale di Fisica Nucleare, Sezione di Milano.

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Bertotti, B. On the two-body problem in general relativity. Nuovo Cim 12, 226–232 (1954). https://doi.org/10.1007/BF02781177

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  • DOI: https://doi.org/10.1007/BF02781177

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