Why is a Blue Shift in Kruskal Szekeres not Physical

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Discussion Overview

The discussion centers around the concept of blue shift in the context of the Kruskal-Szekeres diagram within general relativity (GR). Participants explore the implications of time-like trajectories and the stability of the geometry, questioning the physicality of the blue shift phenomenon as described by a professor in an introductory GR class.

Discussion Character

  • Exploratory, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant questions why a blue shift is considered not physical in the context of the Kruskal-Szekeres geometry, referencing a comment made by their professor.
  • Another participant suggests that the blue shift argument may not apply to the Schwarzschild/Kruskal geometry, indicating uncertainty about how it demonstrates instability.
  • A different viewpoint mentions that if the professor was referring to the Kerr black hole, the argument regarding blue shift would make more sense.
  • One participant encourages the original poster to seek clarification from their professor and share the response.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the stability of the Kruskal-Szekeres geometry and the physical implications of blue shift, indicating that multiple competing views remain without a consensus.

Contextual Notes

There are limitations in the discussion regarding the definitions of stability in the context of different black hole geometries, as well as the specific conditions under which blue shift is considered physical or not.

Airsteve0
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In my intro. to GR class we recently covered the Kruskal Szekeres diagram and trajectories within the diagram. My question comes from a comment made by my professor about time-like trajectories emerging from v=0 and that if an emitter sends a light signal to an observer it will be blue shifted. He said that this is a classical case of instability in the Kruskal-Szekeres geometry; however, I am unsure as to why this is (i.e. why is a blue shift not physical).
 
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atyy said:

Nice link, and the same thought came to my mind, but that's not a Kruskal black hole. It's a Reisser-Nordstrom black hole mimicking a Kerr black hole.


It *is* fairly well known that the Schwarzschild/Kruskal geometry probalby isn't stable, but I'm not sure how the blue shift argument would show that. Now if the professor was actually talking about the Kerr black hole, it would all make sense.
 
@Airsteve0: ask your professor and tell us the answer please? :smile:
 

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