A question from Rindler Relativity Textbook

In summary, Rindler relativity is a branch of special relativity that deals with the acceleration of objects in flat space-time. It takes into account the effects of acceleration on objects, providing a more comprehensive understanding of the laws of physics. This theory has various applications in astrophysics, cosmology, and technology development. It is a simplified version of general relativity and can be derived from it in certain cases. Real-world examples of Rindler relativity include the behavior of objects in an accelerating car, particles in a particle accelerator, and objects in orbit around a massive body like the Earth.
  • #1
ehasan
9
0
While solving the problem from Rindler 2nd ed. book, I just stuck on the problem 3.24.

A certain piece of elastic breaks when it is stretched to twice its length. At time t=0, all points of it are accelerated longitudinally with constant proper Acceleration alpha, from rest in the unstretched state. prove that elastic breaks at t=sqrt(3)*c/alpha.

please help. thanks
 
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  • #2
Ah, the "Bell Spaceship paradox". How far have you gotten? Do you know the equations of motion of an object with constant proper acceleration alpha?
 

1. What is Rindler relativity?

Rindler relativity is a branch of special relativity that deals with the acceleration of objects in flat space-time. It is named after physicist Wolfgang Rindler who first described this phenomenon in his textbook.

2. How is Rindler relativity different from traditional relativity?

Rindler relativity takes into account the effects of acceleration on objects, while traditional relativity only deals with objects moving at a constant velocity. This allows for a more comprehensive understanding of the laws of physics.

3. What are some applications of Rindler relativity?

Rindler relativity is commonly used in the fields of astrophysics and cosmology to study the behavior of objects moving at high velocities or experiencing strong gravitational forces. It is also used in the development of technologies such as GPS systems and particle accelerators.

4. How does Rindler relativity relate to Einstein's theory of general relativity?

Rindler relativity is a simplified version of general relativity, specifically focusing on the effects of acceleration on objects in flat space-time. It can be derived from general relativity in certain cases, but it does not account for the curvature of space-time caused by massive objects.

5. Are there any real-world examples of Rindler relativity?

Yes, there are many real-world examples of Rindler relativity. Some common examples include the motion of objects in an accelerating car, the behavior of particles in a particle accelerator, and the effects of acceleration on objects in orbit around a massive body like the Earth.

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