- #1

luinthoron

- 14

- 1

- TL;DR Summary
- I am looking for simple examples showing that the equivalence principle implies or at least suggests spacetime curvature (i. e. nonvanishing nonconstant components of the metric tensor).

I am a high-school teacher and a PhD. student. I am looking for ways to introduce my students to GR. In my treatment, I speak about the equivalence principle and later about curvature in general and consequently that of spacetime. I am missing a connection of these two parts that would be understandable to a high-schooler. Every book that I found talks about light going up a gravity well, the Pound-Rebka experiment. That is all fine, but I don't like that light is now, in my opinion, unnecessarily involved. I would like a simple dynamic example that would show that equivalence principle implies that the spacetime interval (which my students know from Special Relativity) now contains nonvanishing nonconstant coefficients like on a curved surface. I have been trying some examples with a falling observer flying near two stationary observers in a gravitational field but I can't get the reasoning right. I also don't want to use the common argument about some general coordinate transformation from the Local Inertial Frame to a general one, as that would be, again in my opinion, an unnecessary complication for the students. Could someone please suggest such a thought experiment to fill the gap between the EP and curvature of spacetime?