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- Thread starter deRoy
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- #1

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- #3

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Yes, that's exactly what I mean, I want to begin with a non-Newtonian law of universal gravitation let's say: ## F = GMm/r^3 ## then find a curved spacetime (5 + 1 dimensions) to approximate this law in weak gravitational fields.Whatshould go as ##1/r^3##? This is not really a question of GR, it is a question of the solutions to the Laplace equation, which depends on the number of dimensions. For example, to get a potential that goes as ##\sim 1/r^3## you would need to add two additional spatial dimensions.

Can I do the same for 3+1 dimensions?

- #4

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In 5+1 dimensions the potential goes as ##1/r^3##. In 3+1 dimensions the potential goes as ##1/r##.

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