11 citations · 23 across the 7 of their papers we have counts for
7 papers
Reduction of the Finsler gravity vacuum equation and dynamics for the cosmological Landsberg spacetimes
Christian Pfeifer, Fidel F. Villaseñor
When solving the Einstein vacuum equations, a very helpful feature is that they reduce simply to the vanishing of the Ricci tensor. In Finsler gravity, a promising extension of gen…
Einstein-Kropina Metrics and Their Application in Finsler Gravity
Sjors Heefer, Fidel F. Villaseñor, Andrea Fuster
We generalize the Einstein condition for Kropina metrics obtained in the positive definite setting by Zhang, Shen and others to all signatures. As examples of Einstein-Kropina metr…
The ladder of Finsler-type objects and their variational problems on spacetimes
Miguel Sánchez, Fidel F. Villaseñor
The space of anisotropic -contravariant -covariant -homogeneous tensors on a manifold admits a functorial structure where vertical derivatives and contrac…
Schur theorem for the Ricci curvature of any weakly Landsberg Finsler metric
Fidel F. Villaseñor
The Ricci version of the Schur theorem is shown to hold for a wide class of Finsler metrics. What is more, let be any (positive definite) Finsler metric such that $\text{Ric} =…
On the significance of the stress-energy tensor in Finsler spacetimes
Miguel Ángel Javaloyes, Miguel Sánchez, Fidel F. Villaseñor
We revisit the physical arguments which lead to the definition of the stress-energy tensor in the Lorentz-Finsler setting starting at classical Relativity. Both the sta…
The Einstein-Hilbert-Palatini formalism in Pseudo-Finsler Geometry
Miguel Ángel Javaloyes, Miguel Sánchez, Fidel F. Villaseñor
A systematic development of the so-called Palatini formalism is carried out for pseudo-Finsler metrics of any signature. Substituting in the classical Einstein-Hilbert-Palatini…