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A theory that describes how matter interacts dynamically with the geometry of space and time. It was first published by Einstein in 1915 and is currently used to study the structure and evolution of the universe, as well as having practical applications like GPS.
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Schwarzschild Orbits Perihelion and Aphelion
In Schwarzschild space-time, one can find the perihelion and aphelion of the non-circular orbits from the roots of the equation:
$$(E^{2} - 1)r^{3} + 2Mr^{2} - L_{z}r + 2ML_{z} = 0.$$
My questions is …
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Periods of non-circular Schwarzschild orbits
I have been thinking about non-circular orbits in the Schwarzschild spacetime. How would you define a period of one orbit? I was thinking, in terms of proper time, for $r$, how long it takes to go fro …