Gravitational field in Galilean relativity

[member 743765]

My question is why the direction of gravitational field doesn't change relative to moving observer take for example gravitational field in the y direction relative to stationary observer but relative to an observer moving with velocity v in the x direction the field should have x component

 

[Ibix]

You are talking about a uniform field, I infer. It would be helpful to state that clearly if so.

Do you know how a force transforms under a Galilean boost? Hint: what is $\frac{d^2x'}{dt'^2}$ in terms of $x$ and $t$?

 

[member 743765]

You are talking about a uniform field, I infer. It would be helpful to state that clearly if so.

Do you know how a force transforms under a Galilean boost? Hint: what is $\frac{d^2x'}{dt'^2}$ in terms of $x$ and $t$?

The acceleration is the same for all inertial frames in galilean relativity and now I understand .
Just one thing : why I cannot write equations using latex here while using android mobile?

 

[PeroK]

Just one thing : why I cannot write equations using latex here while using android mobile?

It should be possible, although quite tedious:
$$\vec F = m\vec a$$

 

[Ibix]

The acceleration is the same for all inertial frames in galilean relativity and now I understand

Exactly.

Just one thing : why I cannot write equations using latex here while using android mobile?

It isn't a browser issue, as far as I am aware. There is a known problem with this forum that LaTeX doesn't get rendered if there is not yet any LaTeX on the page. This seems to be difficult to fix. LaTeX should work for you now on this page because of my earlier post - try entering something and previewing.

The workaround when you're the first one using LaTeX on a page or you're creating a new thread is to enter some LaTeX (even something trivial like $x$), preview your post (it won't render), then refresh the page while still previewing. You'll be back in edit mode, but you should now see rendered LaTeX if you preview again.

 

[Orodruin]

The gravitational field changing direction would be directly incompatible with the fundamentals of Galilean relativity, where acceleration is invariant.