I have a dumb question about gravitational fields

[Dimwitted]

Is a one-dimensional gravitational field possible? I'm not sure if I'm using the correct terminology, what I mean is instead of pulling things into its center of gravity it pulls things in the same linear direction until it ejects it out.

 

[e.bar.goum]

Perhaps I'm not understanding the question you're asking, but the gravitational force does act one dimensionally!

Newtons law of gravity gives us:

$F = \frac{G M1 M2}{r^2}$

It is only dependent on the distance the two bodies are from each other $r$, not their angles relative to each other (which would introduce a $\phi$ and $\theta$ dependence).

 

[Nabeshin]

Perhaps I'm not understanding the question you're asking, but the gravitational force does act one dimensionally!

Newtons law of gravity gives us:

$F = \frac{G M1 M2}{r^2}$

It is only dependent on the distance the two bodies are from each other $r$, not their angles relative to each other (which would introduce a $\phi$ and $\theta$ dependence).

This is one way to look at it.

Another way is from the field equation point of view of gravity, a la Gauss' law
$$\vec{\nabla} \cdot \vec{G} = - 4 \pi \rho$$

In one dimension, from this equation a point source simply generates a constant gravitational field (does not vary with distance from the point mass).