Finsler geometry as a model for relativistic gravity

TL;DR

This paper reviews the development and potential of Finsler geometry as a framework for relativistic gravity, including theoretical formulations and experimental tests.

Contribution

It provides a comprehensive overview of Finsler gravity, highlighting its motivations, mathematical formulations, and experimental considerations.

Findings

Finslerian modifications of fundamental equations are explored.

Experimental tests of Finsler gravity are discussed.

The paper outlines future perspectives for Finsler gravity research.

Abstract

We give an overview on the status and on the perspectives of Finsler gravity, beginning with a discussion of various motivations for considering a Finslerian modification of General Relativity. The subjects covered include Finslerian versions of Maxwell's equations, of the Klein-Gordon equation and of the Dirac equation, and several experimental tests of Finsler gravity.