On Riemann curvature of spherically symmetric metrics
| Autor: | Elgendi, S. G. |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, studying the inverse problem, we establish a curvature compatibility condition on a spherically symmetric Finsler metric. As an application, we characterize the spherically symmetric metrics of scalar curvature. We construct a Berwald frame for a spherically symmetric Finsler surface and calculate some associated geometric objects. Several examples are provided and discussed. Finally, we give a note on a certain general $(\alpha,\beta)$-metric that appears in the literature. Comment: Accepted for publication in Mathematical Physics, Analysis and Geometry |
| Databáze: | arXiv |
| Externí odkaz: |
|