On the Velocity Tensors

TL;DR

The paper introduces the velocity tensor, a new mathematical object enabling the formulation of generally covariant mechanics, and explores its properties.

Contribution

It presents the velocity tensor as a novel tool for covariant mechanics, expanding the mathematical framework of the field.

Findings

Velocity tensor allows covariant formulation of mechanics

Properties of the velocity tensor are derived

Provides a new perspective on mechanics in curved spacetime

Abstract

A new object, called the velocity tensor, is introduced. It allows to formulate a generally covariant mechanics. Some properties of the velocity tensor are derived.