## Research Week 2015

#### Title of Oral/Poster Presentation

The Schwarzschild Solution and Timelike Geodesics

Article

Physics

#### Presentation Type

Poster Presentation

#### Abstract

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 finding the Schwarzschild solution of the Einstein Equation for a non-rotating black hole. The Schwarzschild metric will be used to calculate the Riemann curvature tensor and subsequently the Ricci tensor and Ricci scalar. Once the solution of the Einstein Equation is found, equations of motion can be calculated through the geodesic equation. This presentation will find the orbits for a photon and a massive particle around the black hole. This presentation will also attempt to show if it is possible to have a photon make a complete orbit a non-rotating black hole and be able to escape the orbit. Overall, this presentation will be an examination of the basic calculations that are done in General Relativity and it will show how light and matter move in a curved space-time.

4-9-2015 3:00 PM

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Apr 9th, 3:00 PM

The Schwarzschild Solution and Timelike Geodesics

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 finding the Schwarzschild solution of the Einstein Equation for a non-rotating black hole. The Schwarzschild metric will be used to calculate the Riemann curvature tensor and subsequently the Ricci tensor and Ricci scalar. Once the solution of the Einstein Equation is found, equations of motion can be calculated through the geodesic equation. This presentation will find the orbits for a photon and a massive particle around the black hole. This presentation will also attempt to show if it is possible to have a photon make a complete orbit a non-rotating black hole and be able to escape the orbit. Overall, this presentation will be an examination of the basic calculations that are done in General Relativity and it will show how light and matter move in a curved space-time.