Can someone derive Einstein's general relativity field equation for one spatial dimension and one time dimension from the beginning? I think this will help many beginners to get a feel and understand details and effects of spacetime curvature easily.
I am expecting an explanation starting from equivalence principle or anything related. Something like this https://www.youtube.com/watch?v=pES_tNZJm3Q but simplified to a single spatial dimension for a beginner to be able to mess with and get a feel of the model.
For example, I want to be able to describe things like,
If this is the space time, what would happen if I add a big mass at (0,8). What would happen if I add 2 big masses at (0,6) and (0,10). How would the space time curve. What are the world lines of these objects. How do they change with the mass and their position.