Abstract
AbstractWe extend the notion of a Lorentzian pp-wave to that of Finsler spacetimes by providing a coordinate-independent definition of a Finsler pp-wave with respect to the Chern connection; our definition also includes the special case of a plane wave. This treatment introduces suitable lightlike coordinates, in analogy with the Lorentzian case, and utilizes the anisotropic calculus recently developed by one of the authors. We then extend Penrose’s “plane wave limit” to the setting of Finsler spacetimes. New examples of such Finsler pp-waves are also presented.
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous)
Reference42 articles.
1. Ehlers, J., Kundt, W.: Exact solutions of the gravitational field equations. In: Gravitation: an Introduction to Current Research, pages 49–101. Wiley, (1962)
2. Brinkmann, H.W.: Einstein spaces which are mapped conformally on each other. Math. Ann. 94(1), 119–145 (1925)
3. Sormani, C., Hill, D.C., Nurowski, P., Bieri, L., Garfinkle, D., Yunes, N.: The mathematics of gravitational waves: a two-part feature. Notices AMS 64(7), 684–707 (2017)
4. Aazami, A.B., Ream, R.: Almost Kahler metrics and pp-wave spacetimes. Lett. Math. Phys. 112, 84 (2022)
5. Flores, J.L., Sánchez, M.: On the geometry of pp-wave type spacetimes. In: Analytical and Numerical Approaches to Mathematical Relativity, pages 79–98. Springer, (2006)
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