幾何代數已成功應用在各物理領域, 我們希望能應用在重力上. Geometric Algebra already shows its power on Classical Mechanics,Electrodynamics, Quantum Mechanics and Special Relativity. It is a very handy tool for understanding and developing physics. It handles flat spacetime physics fairly well which give us the motivation to test the Gauge Theory of Gravity based on Geometric Algebra. Here we show in detail how to translate between the popular differential form approach and the Gauge Theory of Gravity-Geometric Algebra expressions. We then test on an application: the energy-momentum pseudotensor. The new formulism can handle this application well.