Multimetric Finsler Geometry

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.

arXiv comment27 pages

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Cited by in corpus (5)

• Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces
• On the metrizability of $m$-Kropina spaces with closed null 1-form
• Birkhoff Theorem for Berwald Finsler spacetimes
• Modelling Cosmic Springs with Finsler and Generalised Finsler Geometries
• Quantum proper time: A Finsler space from entropy and purity