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On the Fierz energy-momentum tensor for a gravitational field

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Lettere al Nuovo Cimento (1971-1985)

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References

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  9. We disregard the other energy tensors obtained byFirez since they are constructed by the products of second-order derivatives of the tensor potentialϕ αβ. Indeed such terms, if obtained either by the canonical energy-momentum tensor (symmetrized by the rules ofF. J. Belinfante (Physica,6, 887 (1939)) andL. Rosenfeld (Mém. Acad. Roy. Belgique, No. 6 (1940))), or by the Landau method (see for exampleL. D. Landau andE. M. Lifchitz:The Classical Theory of Fields, 2nd. ed., Sect.32 (Oxford, 1962), p. 89), would come from a Lagrangian density for free fields containing derivatives of order higher than the first. Such possibility is usually excluded in field theory (see for instanceJ. Rzewuski:Field Theory, Chap. 2, Sect.1 (London, 1967), p. 92).

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Author notes

  1. G. Cavalleri

    Present address: Centro Informazioni Studi Esperienze, CISE, Milano

  2. G. Spinelli

    Present address: Istituto di Matematica del Politecnico, Milano

Authors and Affiliations

  1. Istituto di Fisica dell’Università, Milano

    G. Cavalleri

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  1. G. Cavalleri
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  2. G. Spinelli
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Cavalleri, G., Spinelli, G. On the Fierz energy-momentum tensor for a gravitational field. Lett. Nuovo Cimento 8, 67–70 (1973). https://doi.org/10.1007/BF02727632

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