Hey, in general relativity, essentially I am asking how any metric (I.e. schwarzschild metric) was found. are the metrics derived or are they extrapolated from the correct lagrange equations of motion? If there is a derivation available, please provide a link.
thanks
yeah I've seen the method for the contraction of bianchi identities to arrive at the einstein tensor but I was determined to use this method too. It's really tedious and i just can't find the expression. I guess I'm just forced to believe the equation but thanks so much for the help.
I'm reading gravitation and having trouble with one of the exercises.
aRab+bRgab is the general tensor
the exercise asks to show that the divergence of this tensor vanishes if and only if b=-1/2a
how do I go about solving this problem?
I suppose I was using the word "practical" in an unusual fashion. I only wanted to make the point that the original problem to the thread could be solved with basics of SR, as you yourself have done, and I failed to do with a dumb error haha. And if one looks at my earlier reply, I said that...
You have dug into what I think is the most fruitful part of the special theory, and I encourage asking questions that challenge even such a well known theory.
The answer is that the speed of light needs to be constant for both Ann and Bob. If, at a certain point a light beam is sent...
There is nothing practical about special relativity. I want to clarify this because it seems important to me at least. Basic special relativity ignores things like acceleration, gravity, and motion in 3 dimensions so that it CAN simply and elegantly illustrate time dilation, length contraction...
Assuming one could see the other end, and the gravitational field is on a flat surface for the seesaw, it would be an incredible experience. You would hit the ground and still see your friend rising. Good thought experiment
Sorry that no one has adequately answered your question, but I believe (and hope) that I am capable of answering. You say that you don't want a full explanation so I will perform estimate calculations, which are actually quite simple, and give you the results. Others, please don't scrutinize...