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Full-Text Articles in Physical Sciences and Mathematics
The Equivalence Problem: Einstein-Maxwell Solutions, Rebecca Whitney
The Equivalence Problem: Einstein-Maxwell Solutions, Rebecca Whitney
Physics Capstone Projects
The “Equivalence Problem” is part of the Digital Einstein Project. The goal of this project is to create a digital and interactive library of all known solutions to the Einstein field equations in general relativity. The “Equivalence Problem” involves determining when two solutions are physically equivalent. This requires calculating physical and geometric features to characterize each solution independently of any coordinate system. One of the principal features used to characterize the solutions is the degree of symmetry or the isometry group of the space-time metric. We have focused on the solutions to the Einstein-Maxwell field equations and compared the isometry …
The Schwarzschild Solution And Timelike Geodesics, Matthew Ross
The Schwarzschild Solution And Timelike Geodesics, Matthew Ross
Physics Capstone Projects
General Relativity is the standard theory of the gravitational interaction. It allows us to cal- culate the motions and interactions of particles in a non-Euclidean space-time. This presentation will present the derivation of the Schwarzschild metric tensor field by finding a solution of the Einstein Equation for a non-rotating, static vacuum. A general form of the metric for a static, spherically symmetric spacetime will be used to calculate the Riemann curvature tensor and sub- sequently the Ricci tensor and Ricci scalar which will then be used to find a vaccum solution to the Einstein Equation. Once the solutions of the …