James Wheeler

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General Relativity is a major area of study in physics. It allows us to calculate the motion and interaction of particles in a non-Euclidean space-time. This presentation will examine the process of 􏰁nding the Schwarzschild metric tensor 􏰁eld by 􏰁nding a solution of the Einstein Equation for a non-rotating spherical mass. A general form of the Schwarzschild metric tenor 􏰁eld will be used to calculate the Riemann curvature tensor and subsequently the Ricci tensor and Ricci scalar which will be used to 􏰁nd a vaccum solution to the Einstein Equation. Once the solutions of the Einstein Equation is found, they can be plugged into the Schwarzschild metric tensor 􏰁eld and equations of motion can be calculated through the geodesic equation. This presentation will 􏰁nd the orbits for massive particles moving around and into a black hole. Overall, this presentation will be an examination of the basic calculations that are done in General Relativity and it will show how matter moves in a curved space-time.

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