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Quadratic Lagrangians and the Reissner-Nordström-de Sitter metric

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Abstract

The purpose of this note is to point out that the Einstein-Maxwell equations with cosmological constant can be derived from the quadratic Lagrangians R2 and F <v F<v. The linear combination R αβ Rαβ +β 2+k 2F <v F<v leads to field equations not satisfied by the Reissner-Nordström-de Sitter metric.

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References

  1. Bach, R. (1921).Mathematische Zeitschrift,9, 110.

  2. Bicknell, G. V. (1974).Journal of Physics A,7, 1061.

  3. Buchdahl, H. A. (1962).Nuovo Cimenta,23, 141.

  4. Eddington, A. S. (1924).The Mathematical Theory of Relativity, Cambridge University Press, London.

  5. Lake, Kayll, (1979).Physical Review D,19, 421.

  6. Stephenson, G. (1977).Journal of Physics A,10, 181.

  7. Wynne, W. A., and Derrick, G. H. (1973).Nuovo Cimenta,15B, 181.

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Leiro, J.A. Quadratic Lagrangians and the Reissner-Nordström-de Sitter metric. Int J Theor Phys 19, 873–876 (1980). https://doi.org/10.1007/BF00671478

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Keywords

  • Field Theory
  • Linear Combination
  • Elementary Particle
  • Quantum Field Theory
  • Field Equation