2016/06/30 by Ricardo Gallego Torromé · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Classical mechanics #Context (archaeology) #Einstein #Equivalence (formal languages) #Generality #Generalization #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Spacetime #Theoretical physics #gr-qc #hep-th #math-ph #math.MP #msc:53B40 #msc:83A05 #msc:83D05
paper · pdf · doi:10.1142/s0219887817500918
17 pages; Minor changes. Accepted for publication in International Journal of Geometric Methods in Modern Physics
openalex created_date 2017/01/13 · arxiv created 2017/02/12 · openalex publication_date 2017/02/17 · arxiv updated 2020/08/04 · openalex updated_date 2026/08/05
The notion of singular generalized Finsler spacetime and singular generalized Berwald spacetime is introduced and their relevance for the description of classical gravity is discussed. A method to construct examples of such generalized Berwald spacetimes is sketched. The method is applied at two different levels of generality. First, a class of flat, singular generalized Berwald spacetimes is obtained. Then in an attempt of further generalization, a class of non-flat generalized Berwald spacetimes is presented and the associated Einstein field equations are discussed. In this context, an argument in favor of a small value of the cosmological constant is given. The physical significance of the models is briefly discussed in the last section.