Multimetric Finsler Geometry
Mathematical Physics
2023-05-03 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
Motivated in part by the bi-gravity approach to massive gravity, we introduce and study the multimetric Finsler geometry. For the case of an arbitrary number of dimensions, we study some general properties of the geometry in terms of its Riemannian ingredients, while in the 2-dimensional case, we derive all the Cartan equations as well as explicitly find the Holmes-Thompson measure.
Cite
@article{arxiv.2208.03800,
title = {Multimetric Finsler Geometry},
author = {Patrícia Carvalho and Cristian Landri and Ravi Mistry and Aleksandr Pinzul},
journal= {arXiv preprint arXiv:2208.03800},
year = {2023}
}
Comments
27 pages