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## Main Question or Discussion Point

Hey

there is something that I don't really understand

In Landau Lifgarbagez"Classical Theory of Fields" it is said that one of the Maxwell's equations in the presence of a gravitational field is:

div E= \frac{\rho}{\epsilon_0}\sqrt{g_{00}}

So I thought that if you have a hydrogen atom in the gravitational field of a black hole, than this would cause the Electric field strenght between the proton and the electron to become smaller, which would be caused by the g(00), which is value less than 1 in a gravitational field.

But now an extremely smart person told me, that this is not so, because this formula is only valid, if the body that causes the gravitational field is the same as the one that causes the electric field. so in my case this would be not so, as the black hole that produces the curved spacetime and the proton that causes the electric field in the hydrogen atom are two different bodies?

can somebody explain this to me? i don't really understand, why one has to make a difference between the curvature of the charged body itself or the curvature of a body and the electric field that is in the curved space?

there is something that I don't really understand

In Landau Lifgarbagez"Classical Theory of Fields" it is said that one of the Maxwell's equations in the presence of a gravitational field is:

div E= \frac{\rho}{\epsilon_0}\sqrt{g_{00}}

So I thought that if you have a hydrogen atom in the gravitational field of a black hole, than this would cause the Electric field strenght between the proton and the electron to become smaller, which would be caused by the g(00), which is value less than 1 in a gravitational field.

But now an extremely smart person told me, that this is not so, because this formula is only valid, if the body that causes the gravitational field is the same as the one that causes the electric field. so in my case this would be not so, as the black hole that produces the curved spacetime and the proton that causes the electric field in the hydrogen atom are two different bodies?

can somebody explain this to me? i don't really understand, why one has to make a difference between the curvature of the charged body itself or the curvature of a body and the electric field that is in the curved space?