2023/02/20 by Nicoleta Voicu, Annamária Friedl-Szász, Elena Popovici-Popescu +1 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Conic section #Cosmology and Gravitation Theories #Curvature #Finsler manifold #Geometry #Isometry (Riemannian geometry) #Mathematical physics #Mathematics #Metric (unit) #Physics #Pure mathematics #Quantum mechanics #Ricci curvature #Spacetime #Tangent #Tangent bundle #Tangent space #Tensor (intrinsic definition)
paper · pdf · doi:10.3390/universe9040198
published in Universe 9(4), 198 (Multidisciplinary Digital Publishing Institute)
openalex publication_date 2023/04/20 · openalex created_date 2023/04/25 · openalex updated_date 2026/07/22
For the general class of pseudo-Finsler spaces with (α,β)-metrics, we establish necessary and sufficient conditions such that these admit a Finsler spacetime structure. This means that the fundamental tensor has a Lorentzian signature on a conic subbundle of the tangent bundle and thus the existence of a cone of future-pointing time-like vectors is ensured. The identified (α,β)-Finsler spacetimes are candidates for applications in gravitational physics. Moreover, we completely determine the relation between the isometries of an (α,β)-metric and the isometries of the underlying pseudo-Riemannian metric a; in particular, we list all (α,β)-metrics which admit isometries that are not isometries of a.