- #1

Vitani1

- 51

- 9

- Homework Statement
- Borrowed from "A first course in General Relativity" by Schutz. This is question 12 of chapter 1.

- Relevant Equations
- S^2=S'^2

My question in specific is understanding what this line EB exactly represents. This was borrowed from the book "A first course in general relativity" by Schutz. There is a question on page 30 (number 12) which asks the following:

"Use the fact that the tangent to the hyperbola DB in Fig. 1.14 is the line of simultaneity for O¯ to show that the time interval AE is shorter than the time recorded on O¯’s clock as it moved from A to B. "

I see that there exists an event in the unbarred observer's frame with coordinates (C,F) corresponding to an event in the frame of O' with coordinates (B,0). In order to do the above proof I assume I need to know some information about the x-coordinate in observer O's frame at this time E but this diagram doesn't (I think) give this information. Certainly do not give me the answer because this is still homework. I'm mostly curious about this line EB.