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What are Gaussian Normal Coordinates?
There are various kinds of "normal coordinates" used in Riemannian geometry (positive definite metric tensors) and semi-Riemannian geometry (allows indefinite metric tensors, such as occur in Lorentzian manifolds as used in general relativity).What are Gaussian Normal Coordinates?
I've only seen that usage in the book by Wheeler and Cuifolini, Inertia and Gravitation. Most people would just call these synchronous coordinates.Gaussian normal coordinates have a metric of the form
[tex]
ds^2 = -dt^2 + g_{ij} dx^i dx^j
[/tex]
MTW uses it too, that's where I looked it up. (See pg 717).I've only seen that usage in the book by Wheeler and Cuifolini, Inertia and Gravitation. Most people would just call these synchronous coordinates.
So they do! Thanks for reminding me.MTW uses it too, that's where I looked it up. (See pg 717).