A Compendium on General Relativity for Undergraduate Students
Tushar Kanti Dey, Surajit Sen
TL;DR
This paper provides an accessible introduction to General Relativity for undergraduates, including simple computational tools and numerical solutions to key equations to facilitate understanding of the theory's core concepts.
Contribution
It introduces a pedagogical approach with Mathematica code for undergraduates to compute tensorial objects and solve orbit equations in GTR without prior package knowledge.
Findings
Numerical solutions for light and particle orbits in Minkowski and Schwarzschild spacetimes.
Development of simple Mathematica code for tensor calculations.
Illustration of key tests of General Relativity.
Abstract
We give a pedagogical introduction of the essential features of General Theory of Relativity (GTR) in the format of an undergraduate (UG) project. A set of simple MATHEMATICA code is developed which enables the UG students to calculate the tensorial objects without prior knowledge of any package operation. The orbit equations of light and material particle in Minkowski and Schwarzschild spacetime are solved numerically to illustrate the crucial tests of GTR.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies · Relativity and Gravitational Theory · Quantum and Classical Electrodynamics