General Relativity: New insights from a Geometric Algebra approach

TL;DR

This paper introduces a Geometric Algebra framework for describing General Relativity, providing new insights into the physical interpretation of geometrical quantities and offering a step-by-step computational approach.

Contribution

It presents a novel application of Geometric Algebra to General Relativity, enhancing understanding of geometric quantities and their physical meanings.

Findings

GA clarifies the physical meaning of connection coefficients

GA provides an intuitive interpretation of the Riemann tensor

Step-by-step GA methods facilitate calculations in General Relativity

Abstract

In this paper, we present a series of techniques to describe General Relativity using Geometric Algebra (GA). We emphasize the physical interpretation of quantities and provide a step-by-step guide for performing calculations. In doing so, we show how GA offers insightful information on the physical meaning of the connection coefficients, the Riemann tensor, and other geometrical quantities.