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Covariant ADM formulation applied to general relativity

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Il Nuovo Cimento B (1971-1996)

Summary

The covariant ADM formalism is discussed for the full Hilbert Lagrangian of general relativity. A general expression for the naturally ensuing surface integrals is given, which suitably generalize the terms introduced by Regge and Teitelboim. In particular, this allows us to interpret a surface term which is usually discardeda priori.

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References

  1. R. Arnowitt, R. Deser andC. W. Misner:The dynamics of general relativity, inGravitation: An Introduction to Current Research, edited byL. Witten (Wiley, New York, N.Y., 1962), p. 227.

    Google Scholar 

  2. T. Regge andC. Teitelboim:Ann. Phys. (N.Y.),88, 286 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  3. M. Ferraris andM. Francaviglia:Intrinsic ADMformalism for Lagrangian field theories in fibered manifolds, inProceedings of the VII Italian Conference on General Relativity and Gravitational Physics, Rapallo, 1986, edited byU. Bruzzo, R. Cianci andE. Massa (World Scientific, Singapore, 1987), p. 55.

    Google Scholar 

  4. M. Ferraris andM. Francaviglia:Atti Sem. Mat. Fis. Univ. Modena,37, 61 (1989).

    MathSciNet  Google Scholar 

  5. M. Ferraris andM. Francaviglia:J. Math. Phys.,26, 1243 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  6. D. Krupka:Some geometric aspects of variational problems in fibered manifolds, Folia Fac. Sci. Nat. UJETP Brunensis, Phys.,14, 1 (1973).

    Google Scholar 

  7. M. Ferraris, M. Francaviglia andO. Robutti:Energy and superpotentials in gravitational field theories, inAtti del VI Convegno Nazionale di Relatività Generale e Fisica della Gravitazione, p. 137, edited byM. Modugno (Bologna, 1986).

  8. A. Komar:Phys. Rev.,113, 934 (1959);127, 955 (1962).

    Article  MathSciNet  ADS  Google Scholar 

  9. M. Ferraris andM. Francaviglia:Gen. Relativ. Gravit.,22, 965 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  10. J. Katz:Class. Q. Grav.,2, 423 (1985).

    Article  ADS  Google Scholar 

  11. I. Sinicco:Formulazione ADMcovariante ed applicazioni alla relatività generale, Doctoral Thesis (Trieste, 1991).

  12. J. Jezierski andJ. Kijowski:Phys. Rev. D,36, 1041 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  13. L. Landau andE. Lifchitz:Théorie des Champs, 3rd edition (MIR, Moscow, 1970).

    Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Matematica dell’Università, Cagliari, Italia

    M. Ferraris

  2. Istituto di Fisica Matematica «J.-L. Lagrange» dell’Università, Torino, Italia

    M. Francaviglia

  3. Dipartimento di Fisica Teorica dell’Università, Trieste, Italia

    I. Sinicco

Authors
  1. M. Ferraris
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  2. M. Francaviglia
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  3. I. Sinicco
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Ferraris, M., Francaviglia, M. & Sinicco, I. Covariant ADM formulation applied to general relativity. Nuov Cim B 107, 1303–1311 (1992). https://doi.org/10.1007/BF02726095

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  • DOI: https://doi.org/10.1007/BF02726095

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