• Corpus ID: 236950438

The Einstein-Hilbert-Palatini formalism in Pseudo-Finsler Geometry

  title={The Einstein-Hilbert-Palatini formalism in Pseudo-Finsler Geometry},
  author={Miguel Angel Javaloyes and Miguel S{\'a}nchez Caja and Fidel F. Villase{\~n}or},
A systematic development of the so-called Palatini formalism is carried out for pseudo-Finsler metrics L of any signature. Substituting in the classical Einstein-Hilbert-Palatini functional the scalar curvature by the Finslerian Ricci scalar constructed with an independent nonlinear connection N, the metric and affine equations for (N, L) are obtained. In Lorentzian signature with vanishing mean Landsberg tensor Lani, both the Finslerian Hilbert metric equation and the classical Palatini… 

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  • M. Javaloyes
  • Mathematics, Computer Science
    International Journal of Geometric Methods in Modern Physics
  • 2019
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