The force of gravity in Schwarzschild and Gullstrand-Painlevé coordinates

Details The force of gravity in Schwarzschild and Gullstrand-Painlevé coordinates The force of gravity in Schwarzschild and Gullstrand-Painlevé coordinates

2009-07-03

arxiv.org/abs/0907.0660v1

Int.J.Mod.Phys.D18:2289-2294,2009

Physics

General Physics

6 pages, Honorable mention in 2009 Gravity Essay Competition, submitted IJMPD, added references

Scientific paper

10.1142/S0218271809015886

We derive the exact equations of motion (in Newtonian, F=ma, form) for test masses in Schwarzschild and Gullstrand-Painlev\'e coordinates. These equations of motion are simpler than the usual geodesic equations obtained from Christoffel tensors in that the affine parameter is eliminated. The various terms can be compared against tests of gravity. In force form, gravity can be interpreted as resulting from a flux of superluminal particles (gravitons). We show that the first order relativistic correction to Newton's gravity results from a two graviton interaction.

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