Can Special Relativity Explain Accelerating Reference Frames?

In summary: SlimIn summary, the conversation discusses the handling of non-inertial reference frames in Special Relativity and the interesting effects that arise, such as the non-constancy of the speed of light. The conversation also includes recommendations for textbooks that cover this topic, such as Rindler's book and MTW's "Gravitation", which uses tensors. It is noted that the use of tensors in MTW's book is beneficial for understanding General Relativity later on. The conversation also mentions a good derivation of Rindler coordinates in a book available on Google Books. The speaker expresses interest in learning more about this topic.
  • #1
ralqs
99
1
So apparently SR can handle non-inertial reference frames, and there are supposedly some interesting effects that come about, like non-constancy of the speed of light. I was wondering if anyone knew where I could find a treatment of accelerating frames in SR (like a textbook)?
 
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  • #3
MTW's "Gravitation" has a good and very thorough treatment of accelerated observers, but it does use tensors.
 
  • #4
pervect said:
MTW's "Gravitation" has a good and very thorough treatment of accelerated observers, but it does use tensors.
IMO the fact that it uses tensors is a benefit. It makes the transition to GR much easier later.
 
  • #5
Mentz114 said:

I looked through the book, but I didn't find anything. A bit weird, didn't Rindler find a way to describe accelerating reference frames?

pervect said:
MTW's "Gravitation" has a good and very thorough treatment of accelerated observers, but it does use tensors.

Does MTW look at accelerating frames from an SR perspective?
 
  • #6
There's a good derivation of Rindler coordinates on p. 240-252 of this book, which for now anyway is all viewable on google books.
 
  • #7
JesseM said:
There's a good derivation of Rindler coordinates on p. 240-252 of this book, which for now anyway is all viewable on google books.

Interesting writeup. I shall have to bone up abit. Thanx.

GrayGhost
 

1. What is an accelerating reference frame?

An accelerating reference frame is a coordinate system in which an object appears to be accelerating. This can be caused by either the object's actual acceleration or the observer's acceleration.

2. How does an accelerating reference frame differ from a non-accelerating reference frame?

In an accelerating reference frame, objects appear to be accelerating even if they are not actually accelerating. In a non-accelerating reference frame, objects appear to be moving at a constant velocity.

3. What is the importance of understanding accelerating reference frames in physics?

Accelerating reference frames play a crucial role in understanding the laws of motion and the principles of relativity in physics. They allow us to accurately describe and predict the behavior of objects in motion.

4. How do you determine the acceleration of an object in an accelerating reference frame?

To determine the acceleration of an object in an accelerating reference frame, you must first identify the reference frame that the object is in and then use the appropriate equations and principles of physics to calculate its acceleration.

5. Can an object be in two accelerating reference frames at the same time?

No, an object can only be in one reference frame at a time. However, the results of an experiment or observation may differ depending on the reference frame of the observer.

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