- #1

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[tex]g_{00} = -1 + 2U - 2 U^2[/tex]

where U is the Newtonian potential.

The time-time component of the Schwarzchild metric, however, is

[tex]g_{00} = -1 + 2M/r[/tex].

There is no quadratic in the Newtonian potential even though this metric is an exact solution of the field equations. Is this because it is in a different gauge?