Teaching General Relativity to Undergraduates: AAPT Topical Conference Recap

In summary, while general relativity is typically introduced in introductory modern physics courses at the undergraduate level, it does not have its own separate class. This is because it is usually taught after classical mechanics and electrodynamics courses, and before quantum mechanics courses. However, some universities, such as Yale, have it as a prerequisite for both quantum mechanics and general relativity. At the University of Massachusetts, general relativity can be taken concurrently with classical mechanics and quantum mechanics. Typically, a general relativity course only requires basic math and mechanics courses as prerequisites and is not needed for understanding quantum mechanics.
  • #1
Benzoate
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taught at the undergraduate level? I know its introduce in the intro modern physics class you taken, but why doesn't General relativity have its on class?Shouldn't general relativity be taught after you just taken your classical mechanics and electrodynamics courses and shouldn't it be taught before you begin your quantum mechanics courses?
 
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  • #2
At least at my college (Yale), it is. The prereqs for both quantum and GR is just advanced classical mechanics. I personally think they fit well in either order, because they do not build on each other in the slightest. They both introduce new math, and I don't think either is harder than the other, in my experience.
 
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at my school (UMASS) you can take a generl relativity course which is at the 500 level (translates as either advanced undergrad or first year grad) this coming semester I will be taking it concurrently with classical mechanics, and quantum mechanics.
 
  • #4
I took a GR course as a fourth-year undergrad. The pre-req's were 2nd year mechanics and math courses in ODEs and vector calculus. You definitely don't need GR to do quantum!

The professor who taught the course I took had worked with Hartle, so we were the guinea pigs for his textbook the year before it came out in print. It was actually one of the less mathematically-intense upper level physics courses I took!
 
  • #5
This was the focus of a recent AAPT Topical Conference "TEACHING GENERAL RELATIVITY TO UNDERGRADUATES":
http://www.aapt-doorway.org/TGRU/

(I contributed an entry to the PF blog about it and the rest of the main AAPT meeting
https://www.physicsforums.com/blog/2006/07/30/aapt-syracuse-2006/ )
 
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FAQ: Teaching General Relativity to Undergraduates: AAPT Topical Conference Recap

Why isn't general relativity compatible with quantum mechanics?

General relativity and quantum mechanics are two of the most successful theories in modern physics, but they are fundamentally incompatible. This is because general relativity describes the behavior of gravity on a large scale, while quantum mechanics explains the behavior of particles on a small scale. Attempts to combine the two theories, such as string theory, have been made but have not yet been proven to be successful.

What is the difference between general relativity and special relativity?

General relativity is a theory of gravity that explains the behavior of objects in a curved spacetime, while special relativity is a theory of spacetime and the relationship between energy, mass, and velocity. Special relativity only applies in a flat, unchanging universe, while general relativity accounts for the effects of gravity and curvature on spacetime.

Why does general relativity predict the existence of black holes?

According to general relativity, massive objects can cause a distortion in spacetime, creating a "gravitational well." If the object is dense enough, the escape velocity at the event horizon (the point of no return) would be greater than the speed of light. This means that even light cannot escape, making the object invisible and giving it the characteristics of a black hole.

How does general relativity explain the phenomenon of time dilation?

General relativity predicts that time is relative, meaning it can pass at different rates depending on the gravitational field and relative motion. This is known as time dilation. As objects move closer to a massive object, time will appear to slow down due to the strong gravitational pull. This has been proven through experiments and is a crucial aspect of general relativity.

Can general relativity be tested and proven?

Yes, general relativity has been extensively tested and proven through various experiments and observations. Some of the most famous confirmations of general relativity include the bending of light near massive objects, the precession of Mercury's orbit, and the detection of gravitational waves. While it is not a complete theory and may be modified in the future, general relativity has been shown to accurately describe the behavior of gravity in our universe.

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