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Quadratic Lagrangians and the Reissner-Nordström-de Sitter metric

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