Gravitational Waves-Longitudinal or transverse

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SUMMARY

The gravitational waves detected by LIGO are definitively transverse due to the weak field approximation, which effectively linearizes the Einstein Field Equations (EFE) at large distances. While non-linearized EFE equations predict the existence of longitudinal components, these do not propagate as gravitational waves. The discussion confirms that all sources of gravitational waves, including black hole mergers, primarily produce transverse waves, with any longitudinal effects being negligible and non-propagating in nature.

PREREQUISITES
  • Understanding of Einstein Field Equations (EFE)
  • Familiarity with gravitational wave detection methods, specifically LIGO
  • Knowledge of weak field approximation in general relativity
  • Concept of transverse and longitudinal wave propagation
NEXT STEPS
  • Research the implications of weak field approximation in general relativity
  • Study the differences between linearized and non-linearized Einstein Field Equations
  • Explore the mechanisms of gravitational wave generation in astrophysical events
  • Investigate the characteristics of transverse waves in the context of gravitational physics
USEFUL FOR

Astrophysicists, gravitational wave researchers, and students of general relativity seeking to deepen their understanding of wave propagation in gravitational fields.

binbagsss
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Hi,

So the gravitational waves detected by LIGO recently were transverse right?

And this is because the weak field approximation which reduces EFE to linearized holds very well at such distances and these describe that the gravtiational waves will be transverse.

I've read that you also get longitudinal components predicted by the non-linearized EFE equations- although these don't actually propagate? Do longitudinal components exist that propagate, and what would be the source?

My question is what are sources of longitudinal waves and what transverse?

So, e.g, the black-hole merger locally would be described by the non-linearized EFE as a pose to the linear, and so longitudinal components would be non-negligible near the merger? Would all sources of graviational waves have both longitudinal and transverse components?

Sorry if this question doesn't make sense.
Many thanks
 
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If things don't propagate, they are not gravitational waves. You get near-field effects that are not transverse, sure. Close to the black holes, where the size of the system still matters, it is not even clear what "transverse" means exactly.

Gravitational waves are always transverse.
 
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