Finsler pp-waves and the penrose limit

Authors

Amir Babak Aazami, Clark UniversityFollow
Miguel Ángel Javaloyes, University of Murcia
Marcus C. Werner, Duke Kunshan University

Document Type

Article

Abstract

We 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. © 2023, The Author(s).

Publication Title

General Relativity and Gravitation

Publication Date

3-2023

Volume

55

Issue

3

ISSN

0001-7701

DOI

10.1007/s10714-023-03101-y

Keywords

Finsler spacetimes, Penrose limit, pp-waves

Repository Citation

Aazami, Amir Babak; Javaloyes, Miguel Ángel; and Werner, Marcus C., "Finsler pp-waves and the penrose limit" (2023). Mathematics. 4.
https://commons.clarku.edu/mathematics/4

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright

© The Author(s) 2023