What is the appropriateness of the term potential in general relativity?

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Discussion Overview

The discussion revolves around the concept of blue shift in astrophysics, particularly in relation to jets from black holes and the implications of gravitational potential in general relativity (GR). Participants explore various factors influencing blue shift, including the nature of jets, the behavior of light in different gravitational fields, and the appropriateness of using the term "potential" in the context of GR.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants inquire about the highest known blue shift and discuss specific examples, noting the need for caution in interpretation.
  • There is a suggestion that jets from black holes could exhibit significant blue shifts, although they are typically not measured as such due to the nature of their spectra.
  • One participant raises the question of whether there are multiple mechanisms for creating blue shifts, including the concept of light coming from areas of different "stretch" in space-time.
  • Another participant introduces the idea of gravitational blueshift, suggesting it could occur if an object is in a shallower potential well than the observer.
  • Discussion includes the nature of matter in jets and the potential for absorption lines, with some uncertainty about the conditions under which these lines could be observed.
  • Participants explore the concept of potential wells in gravity, questioning whether space in voids has a higher potential than that within galactic clusters and the implications for redshift and blueshift when light traverses these regions.

Areas of Agreement / Disagreement

Participants express varying views on the appropriateness of the term "potential" in general relativity, with some suggesting it is meaningful locally, while others highlight complexities at cosmological distances. The discussion remains unresolved regarding the broader implications of potential in GR.

Contextual Notes

There are limitations in the discussion regarding assumptions about the behavior of light in different gravitational fields and the definitions of potential. The effects of cosmic expansion on redshift are noted but not fully resolved.

Jonny_trigonometry
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What is the highest known blue shift?
 
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The largest blueshift that I could find that wasn't listed as a probable error:

http://nedwww.ipac.caltech.edu/cgi-...bj_id&objid=6441063&objname=16&img_stamp=YES"

I would still interpret it with caution, however. Other heavily blue-shifted objects are listed here:

http://nedwww.ipac.caltech.edu/cgi-bin/nph-allsky?z_constraint=Less+Than&z_value1=-500&z_value2=0&z_unit=km%2Fs&flux_constraint=Unconstrained&flux_value1=&flux_value2=&flux_unit=Jy&frat_constraint=Unconstrained&ot_include=ANY&nmp_op=ANY&ra_constraint=Unconstrained&ra_1=&ra_2=&dec_constraint=Unconstrained&dec_1=&dec_2=&glon_constraint=Unconstrained&glon_1=&glon_2=&glat_constraint=Unconstrained&glat_1=&glat_2=&out_csys=Equatorial&out_equinox=J2000.0&obj_sort=RA+or+Longitude&of=pre_text&zv_breaker=30000.0&list_limit=5&img_stamp=YES"
 
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thanks these are pretty large blue shifts. Would a jet from a black hole have a higher blue shift? Is there more than one way to create a blue shift, like what if light is coming in from an area that is more "stretched" than our area?
 
Jonny_trigonometry said:
thanks these are pretty large blue shifts. Would a jet from a black hole have a higher blue shift?

Interesting question. Yes, in theory, a jet could exhibit a large blueshift, even at very large distances, but they're never actually measured that way. When you're looking down a jet from a quasar or active galactic nucleus, the object is called a "blazar". These blazars can have high gamma factors (i.e. velocities very near c), but their spectra are completely featureless. The lack of features in the jet spectrum means that when we measure the redshift of the blazar, the only spectral features that might be available would be from the host galaxy or quasar. Neither of these things is moving towards us with relativistic velocities, however, so the blazar is given a net redshift.

Anyway, the short answer is yes, there are probably jets whose radiation is blueshifted, but it doesn't go into the catalogs as a "blue-shifted" object.


Is there more than one way to create a blue shift, like what if light is coming in from an area that is more "stretched" than our area?

I'm not quite sure what you mean by more "stretched". The only other blueshifting method that I can think of would be a "gravitational blueshift". This could occur if the object were very nearby and in a shallower potential well than we are (like from a satellite to the Earth's surface). This effect would be pretty much irrelevant for astronomical purposes, though.
 
huh, weird stuff. I didn't know what the spectrum is like for jets. I suppose that there is no matter in the form of an atom when it's coming out of a black hole, quasar, or galactic center because of the violent nature of the environment there, but I thought there would be a point far out enough from the source where matter starts to condense into atoms... I guess if it does, it probably doesn't emit light? Then again if it did, we could see absorption lines from it, so I guess that's not the case. Thats interesting.

I was thinking along the lines of the stretchability of space-time and how it's "stretched" in the middle of two masses, and "compacted" close to each mass. So I can use the term potential well when speaking of gravity? cool! this makes more sense. Is the space in a void between galactic clusters at a higher potential than the space inside a galactic cluster? meaning, when light traverses into a void from a cluster, it goes "uphill" and when it goes into another cluster it goes back "downhill" into that cluster, so the redshift from going up is canceled by the blue shift from going down, assuming the two galactic clusters have the same "depth" of a potential well? (leaving out the redshift from expansion)
 
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Jonny_trigonometry said:
huh, weird stuff. I didn't know what the spectrum is like for jets. I suppose that there is no matter in the form of an atom when it's coming out of a black hole, quasar, or galactic center because of the violent nature of the environment there, but I thought there would be a point far out enough from the source where matter starts to condense into atoms...

The jet will certainly shock the intergalactic medium, but any such line emission would be swamped by synchrotron radiation from the relativistic jet.


Then again if it did, we could see absorption lines from it, so I guess that's not the case.

Well, the spectra might show absorption lines, but with this alone, there's no way to be sure if the absorption is local or intervening. Since blazars are observed at cosmological distances, they often show absorption lines from gas along the line of sight.


So I can use the term potential well when speaking of gravity?

The appropriateness of the term "potential" in GR is being debated in this thread:

https://www.physicsforums.com/showthread.php?t=97793"

Locally, there doesn't seem to be much disagreement that we can have a meaningful definition of "potential". At cosmological distances (such as to voids), the redshift from expansion would swamp any other gravitational effects, so it's not really a concern here.
 
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