What Does the r=0 Singularity Represent as an Event at Fixed Time in Spacetime?

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SUMMARY

The r=0 singularity in Schwarzschild spacetime represents a spacelike singularity, which can be interpreted as an event at fixed time. In standard 2-dimensional spacetime diagrams used in special relativity, a fixed time corresponds to a horizontal line, while in the context of spacetime, it is depicted as a spacelike hypersurface. This distinction is crucial for understanding the nature of singularities in general relativity.

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  • Understanding of Schwarzschild spacetime
  • Familiarity with spacetime diagrams in special relativity
  • Knowledge of spacelike and timelike hypersurfaces
  • Basic concepts of general relativity
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The discussion is beneficial for theoretical physicists, cosmologists, and students of general relativity who seek to deepen their understanding of spacetime singularities and their implications in the framework of modern physics.

mersecske
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Since r is time-coordinate below the horizon,
how can you interpret that the r=0 singularity is an event at fixed time?
 
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On a standard 2-dimensional spacetime diagram in special relativity, a fixed time is a horzontal line. In spacetime, a fixed time is a spacelike hypersurface. The "r = 0" singularity in Schwarzschild spacetime is a spacelike singularity.
 

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