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General Relativity: New insights from a Geometric Algebra approach

2024/04/30 by Pablo Bañón Pérez, Perez, Pablo Banon, Maarten DeKieviet +1
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematics and Applications #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2404.19682

openalex publication_date 2024/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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