General Relativity, the Schwarzschild Solution, and the Precession ...

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General Relativity, the Schwarzschild Solution, and the Precession ...

General Relativity, the Schwarzschild Solution, and the Precession ...

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A particle moves in space-time along a path<br />

that extremizes <strong>the</strong> proper time<br />

T<br />

For special relativity,<br />

x

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A particle moves in space-time along a path that extremizes <strong>the</strong> proper time T For special relativity, x

Typically, we set G = c = 1.

Page 1 and 2: Thomas Rudelius September 27,2011
Page 3: These metrics have signature (3,0)
Page 7 and 8: So, Expanding to first order in th
Page 9 and 10: We could write out all the Christof
Page 11 and 12: We have the identity, Plugging in
Page 13: Compare this expression to that for
Page 17 and 18: http://physics.ucr.edu/~wudka/Physi
Page 19 and 20: Recall, Yielding,
Page 21 and 22: Recall that our coordinates break d
Page 25 and 26: Otto
Page 27: Hartle, James B. Gravity: An Introd