Redshift Factor in a Symptotic Stationary Flat Space

In summary, there is a problem in Wald's book on page 158, problem 4,(b) that involves two stationary observers connected by a rope. One observer is at finite r and the other is at infinity. The force on B from the rope differs from the force on A by a redshift factor, and the energy conservation argument is used to prove this. The concept of conservation of momentum is also discussed, and it is mentioned that the observers may measure different fluxes of momentum at their respective ends of the rope.
  • #1
johnstrass
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I am reading Wald's book. There is a problem confused me: page 158, problem 4,(b). An symptotic statoinary flat space, two stationary observer connected with a rope. One observer A is at finite r and the other B is at infinity. Observer B is really stationary by other forces and holding the rope in order for A to be stationary. Use the energy conservation argument to proof the force asserted through the rope on B differ from the force on A from the rope by a redshift factor. How to think in the problem? Thanks.
 
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  • #2
Haven't looked in the book yet, but..

By conservation of momentum, you would expect the rope to be tensioned, but not accelerate, if some "observer" C is applying equal and opposite streams of photons against (solar parachutes attached to) each end of the rope. But A & B would differ in the flux of momentum they measure impinging at their respective end.
 

1. What is the redshift factor in a symptotic stationary flat space?

The redshift factor in a symptotic stationary flat space refers to the amount of light that is shifted towards the red end of the electromagnetic spectrum due to the expansion of the universe. It is a measure of the change in wavelength of light emitted by distant objects.

2. How does the redshift factor relate to the expansion of the universe?

The redshift factor is directly related to the expansion of the universe. As the universe expands, the space between objects also expands, causing the light from these objects to be stretched and appear more redshifted.

3. Is the redshift factor the same for all objects in the universe?

No, the redshift factor can vary for different objects in the universe. Objects that are farther away from us will have a higher redshift factor, as their light has traveled a longer distance and therefore has been stretched more by the expansion of the universe.

4. How is the redshift factor calculated?

The redshift factor is calculated using the formula z = Δλ/λ, where z is the redshift factor, Δλ is the change in wavelength of the light, and λ is the original wavelength of the light. This formula is based on the principle that the wavelength of light is stretched as the universe expands.

5. What can we learn from studying the redshift factor in a symptotic stationary flat space?

Studying the redshift factor in a symptotic stationary flat space can provide valuable insights into the expansion of the universe and the overall structure and evolution of the cosmos. It can also help us understand the nature of dark energy, which is believed to be the force driving the expansion of the universe.

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