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- W2063475873 abstract "In Newtonian mechanics, the action for a true trajectory between two spacetime events A and B is a minimum if the final event B occurs before the kinetic focus of the initial event A; otherwise, the action is a saddle point. We give a simplified proof of an analogous theorem in differential geometry for worldlines in a curved spacetime. We locate the kinetic focus for orbits in a Schwarzschild field in the lowest-order post-Newtonian approximation and show that the kinetic focus is shifted beyond its Newtonian value of one angular cycle by a fractional amount of order O(v2/c2)." @default.
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- W2063475873 date "2010-12-13" @default.
- W2063475873 modified "2023-09-24" @default.
- W2063475873 title "When action is not least for orbits in general relativity" @default.
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- W2063475873 doi "https://doi.org/10.1119/1.3488986" @default.
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