Gravitational Wave Detection: Understanding Interferometers

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SUMMARY

Interferometers detect gravitational waves by measuring the minute changes in distance between two mirrors caused by these waves, which affect the wavelength of a laser beam. Historical confusion surrounding gravitational waves stemmed from Einstein's initial claim that such waves were not observable due to coordinate changes in General Relativity (GR). However, it has been established that there are indeed observable gravitational wave solutions in GR. The discussion also draws parallels between gravitational waves and cosmological expansion, emphasizing that while objects do not expand, the space between them does.

PREREQUISITES
  • Understanding of interferometers and their operation
  • Familiarity with gravitational waves and their properties
  • Knowledge of General Relativity (GR) and its implications
  • Basic concepts of cosmological expansion
NEXT STEPS
  • Research the principles of laser interferometry in gravitational wave detection
  • Study the mathematical framework of General Relativity, focusing on gravitational wave solutions
  • Explore the Sticky Bead Argument and its relevance to gravitational waves
  • Investigate the observable effects of cosmological expansion on large scales
USEFUL FOR

Physicists, astrophysicists, and students interested in gravitational wave research, as well as anyone seeking to understand the implications of General Relativity and cosmological phenomena.

jeebs
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My understanding of how interferometers work is that they detect gravitational waves because they alter the distance between two mirrors as they pass through. They do this by using the wavelength of a laser beam passing through this space.
However, shouldn't this always fail to detect anything, because the wave would always make the same fractional alteration to the photon wavelength as it does to the distance the light has to travel?
Why/how does this work?
thanks.
 
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Yeah, we found gravitational waves.

(We need more funding. :wink: ) LOL! JK.
 
Historically there was a lot of confusion on this issue. At one point, Einstein published a paper claiming that gravitational wave solutions in GR were in fact not observable. GR allows any kind of change of coordinates you like, including changes of coordinates that make the metric look oscillatory when written down on paper, without introducing any change in the actual physical properties of spacetime, such as curvature. This is known as a coordinate wave. However, it turns out that Einstein was wrong, and there really are gravitational wave solutions to GR that are not just coordinate waves. This may be helpful: http://en.wikipedia.org/wiki/Sticky...ents_on_the_properties_of_gravitational_waves

This is similar to the question of why cosmological expansion is observable, and IMO the cosmological expansion version is the easier one to understand. Rulers, solar systems, and galaxies don't expand, but the spaces between galaxies do. Therefore the size of the universe becomes bigger as measured by a ruler. More on this topic here: http://www.lightandmatter.com/html_books/genrel/ch08/ch08.html#Section8.2 (see subsection 8.2.5).
 
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