Physical Sciences and Mathematics Commons^™

Wormholes: Gates To The Stars?, Samuel Shreeve

Physics Capstone Projects

One of the most consistently fascinating results of Albert Einstein’s theory of general relativity is the prediction of wormholes – astronomical objects which are, among other things, capable of serving as a connection between two distant regions of space. The simplest class of wormholes are Schwarzschild wormholes – wormholes that behave as non-rotating, non-charged black holes, except that the event horizon serves as a connection to another wormhole elsewhere, instead of a point of no return.

This research presentation analyzes the attributes that make a Schwarzschild wormhole unsuitable for human travel, and examines the conditions that would have to hold …

Analyzing Solutions To The Einstein Equations Using Differential Geometry, Jordan Rozum

Physics Capstone Projects

In part one, I walk through some examples using the Minkowski metric.

In part two, I continue analyzing the Minkowski metric by looking at its isometry algebra in more detail.

In part three, I go over how to use MetricSearch to retrieve cataloged metrics and analyze a couple of example metrics.

In part four, I provide the code, with minimal introduction, that I used to automate the procedures discussed in the previous tutorials.