Are singularities part of the manifold?

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    Manifold Singularities
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SUMMARY

The discussion centers on the relationship between singularities and manifolds in the context of General Relativity (GR) and Special Relativity (SR). Participants clarify that simultaneity is observer-dependent, emphasizing that the expanding Friedmann-Robertson-Walker (FRW) universe cannot be described using a single simultaneity convention. The conversation highlights the implications of Einstein's Equivalence Principle and the relativity of simultaneity, asserting that different families of observers can define congruences in curved spacetimes without contradicting the physics of the universe.

PREREQUISITES
  • Understanding of General Relativity (GR) and Special Relativity (SR)
  • Familiarity with Friedmann-Robertson-Walker (FRW) cosmology
  • Knowledge of Einstein's Equivalence Principle
  • Concept of simultaneity in curved spacetimes
NEXT STEPS
  • Study the implications of the Friedmann-Robertson-Walker (FRW) metric in cosmology
  • Explore the concept of simultaneity in General Relativity
  • Investigate the role of the Cosmic Microwave Background Radiation (CMBR) in cosmological models
  • Learn about the differences between local and global coordinates in curved spacetimes
USEFUL FOR

Physicists, cosmologists, and students of theoretical physics interested in the foundations of General Relativity and the nature of spacetime. This discussion is particularly beneficial for those exploring the implications of singularities and the relativity of simultaneity in cosmological contexts.

  • #151
martinbn said:
Well, yes, I agree that what micro and wbn say is correct, I was just giving my take on this. It is indeed a terminological issue. Sorry if I wasn't expressing myself clearly. English is a hard language to write in.

No problem, that's why we have math. :wink:
 

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