1
$\begingroup$

The Rindler coordinates are calculated in an inertial rest frame, from which the worldlines of accelerating observers are determined.

How does this coordinate space look like in the frame of an accelerating observer? I was able to find a YT video where the lecturer shows the image below, but I was not able to find more information regarding it.

enter image description here

Improve this question
$\endgroup$
2
  • 1
    $\begingroup$ No, the Rindler coordinates are the coordinates in the rest frame of the accelerating observer. Well, unles you and I mean something very different by Rindler coordinates. $\endgroup$
    – John Rennie
    Commented Jun 14, 2023 at 12:47
  • $\begingroup$ @JohnRennie I'm still studying this so I've probably muddled it up, but I took it to understand that Rinder coordinates as those that correspond to the rest frame of the acc. observer, but the diagram that we usually see (the one with hyberbolae) is wrt. a fixed inertial observer. Please correct me if I'm wrong. $\endgroup$
    – Alan Whitteaker
    Commented Jun 14, 2023 at 14:05

1 Answer 1

Reset to default
2
$\begingroup$

How does this coordinate space look like in the frame of an accelerating observer?

It is a rectilinear grid in the frame of the accelerating observer, by definition.

The image that you show is the Minkowski coordinate grid lines displayed in the Rindler frame.

Improve this answer
$\endgroup$
2
  • $\begingroup$ SO the diagram which we usually see is the Rindler coordinatization of Minkowski space? Could you please provide some resources to read more about Minkowski coordinate grid lines displayed in the Rindler frame? $\endgroup$
    – Alan Whitteaker
    Commented Jun 14, 2023 at 14:08
  • $\begingroup$ @AlanWhitteaker I don't have a reference for the plots. You can just take the coordinate transformation and plot the lines. see en.wikipedia.org/wiki/Rindler_coordinates $\endgroup$
    – Dale
    Commented Jun 14, 2023 at 15:29

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.