Center of Krunskl Szekeres coordinate

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Discussion Overview

The discussion revolves around the nature of spacetime at the center of Kruskal-Szekeres coordinates, particularly questioning the flatness of spacetime in this context. The scope includes theoretical considerations of spacetime geometry and the implications of different coordinate systems.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions why spacetime is considered flat at the center of Kruskal-Szekeres coordinates.
  • Another participant seeks clarification on whether the original question makes sense.
  • A third participant expresses uncertainty about the topic, implying a lack of knowledge on the matter.
  • A later reply suggests that a coordinate system without a metric does not provide information about spacetime curvature and asks for clarification on whether the discussion pertains to the Schwarzschild metric in Kruskal-Szekeres coordinates, and whether it refers to an eternal black hole or a spherically symmetric mass like a planet. This participant also inquires about the source of the claim regarding flatness at the center.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are multiple competing views and uncertainties regarding the original question and the implications of the Kruskal-Szekeres coordinates.

Contextual Notes

The discussion highlights potential limitations in understanding due to the lack of clarity on the metric associated with the coordinate system and the specific context of spacetime being referenced.

randa177
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Why is the spacetime flat at the center of the krunskal szekeres coordinates?
 
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does the question make sense?
 
so, no idea?
 
A coordinate system without a metric doesn't tell you anything about spacetime curvature, do you mean the Schwarzschild metric expressed in Kruskal-Szekeres coordinates? And if so, do you mean the Schwarzschild metric for an eternal black hole, or just for a spherically symmetric mass like a planet? Not that I would know the answer either way myself, but if what you're asking is clarified then maybe someone else would. Where did you read/hear that spacetime was flat at the center, by the way?
 

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