Gravitational field in Galilean relativity

In summary, the concept of a gravitational field in Galilean relativity describes the effect of gravity as a force that acts on objects within a non-accelerating reference frame. It treats gravitational interactions as instantaneous and proportional to mass, following Newton's laws. This framework simplifies the understanding of motion under gravity, emphasizing the role of inertial frames and the uniformity of gravitational acceleration, while not accounting for relativistic effects present in more advanced theories like Einstein's general relativity.
  • #1
phyahmad
23
0
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
 
Physics news on Phys.org
  • #2
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##?
 
  • #3
Ibix said:
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?
 
  • #4
phyahmad said:
Just one thing : why I cannot write equations using latex here while using android mobile?
It should be possible, although quite tedious:
$$\vec F = m\vec a$$
 
  • Like
Likes phyahmad
  • #5
phyahmad said:
The acceleration is the same for all inertial frames in galilean relativity and now I understand
Exactly.
phyahmad said:
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.
 
Last edited:
  • Like
Likes phyahmad and PeroK
  • #6
The gravitational field changing direction would be directly incompatible with the fundamentals of Galilean relativity, where acceleration is invariant.
 

Similar threads

Back
Top