Undergraduate research on gravitational waves

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SUMMARY

The discussion centers on selecting an undergraduate research topic in General Relativity (GR), specifically focusing on gravitational waves and black holes. The participant possesses a strong mathematical foundation, having studied analysis, advanced linear algebra, and differential geometry, which are essential for understanding GR. They seek theoretical articles that delve into gravitational waves or black holes, emphasizing the need for resources that present equations rather than simulations or experimental data. Recommendations for article sources include the American Journal of Physics and IOPscience.

PREREQUISITES
  • Understanding of General Relativity concepts
  • Familiarity with differential geometry
  • Knowledge of mathematical physics
  • Ability to analyze academic articles
NEXT STEPS
  • Research theoretical articles on gravitational waves from the American Journal of Physics
  • Explore IOPscience for papers on black holes with a mathematical focus
  • Investigate the latest findings in gravitational wave detection techniques
  • Study the mathematical formulations used in General Relativity
USEFUL FOR

Undergraduate physics students, researchers in theoretical physics, and anyone interested in exploring mathematical approaches to gravitational waves and black holes.

leo.
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Currently I'm in the last year of the Physics course and I'm interested in working on some undergraduate research project. At first I was suggested to work with statistical physics, but I believe I would prefer working with General Relativity.

From the point of view of background I do have a good mathematical background. Indeed the course I'm taking is a Mathematical Physics course, so I already studied analysis, advanced linear algebra, differential geometry, and so on. So, the fact that GR requires differential geometry is not a problem for me.

My problem is picking a specific topic. What I want is to find one article to work with, so that the project would be to study GR and then study the topic treated on the article.

My main idea was something about gravitational waves and/or black holes. I've searched a lot but didn't find much. I want one article to work with which approaches the problem in a theoretical way, that is, with the equations rather than with simulations or experiments.

Are there some articles on gravitational waves and/or black holes which fits this description and could be used for one undergraduate research project? If not, what would be another topic that could be tackled with a mathematical approach, and what would be some article on the topic that could be used for the project?
 
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