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Cosmology and General Relativity
OVERVIEW
CEA CAPA Partner Institution: University of Galway
Location: Galway, Ireland
Primary Subject Area: Mathematics
Other Subject Area: Physics
Instruction in: English
Course Code: MP403
Transcript Source: Partner Institution
Course Details: Level 400
Recommended Semester Credits: 2.5
Contact Hours: 36
DESCRIPTION
In the study of cosmology where gravitation is the dominant force over the large scales considered, general relativity is the basic component. This course introduces general relativity. Topics covered include geometry, geodesics, black holes, different model universes and cosmogony.
Learning Outcomes
1. Find the Gaussian curvature of a 2-dimensional space;
2. Use the Euler-Lagrange equations to find the geodesics of a space-time;
3. Derive of the Schwarzschild solution of Einstein?s field equations using physical arguments;
4. Find the event horizon of a spherically symmetric black hole;
5. Use the concepts of general relativity to derive the Robertson-Walker line element;
6. Use dimensional analysis to derive the Friedmann equation;
7. Classify the solutions of the Friedman equation and the model universes they describe.
Learning Outcomes
1. Find the Gaussian curvature of a 2-dimensional space;
2. Use the Euler-Lagrange equations to find the geodesics of a space-time;
3. Derive of the Schwarzschild solution of Einstein?s field equations using physical arguments;
4. Find the event horizon of a spherically symmetric black hole;
5. Use the concepts of general relativity to derive the Robertson-Walker line element;
6. Use dimensional analysis to derive the Friedmann equation;
7. Classify the solutions of the Friedman equation and the model universes they describe.
