Is there a spacetime which is timelike and spacelike complete but null

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SUMMARY

The discussion centers on the existence of a spacetime that is both timelike and spacelike complete while remaining null incomplete. Participants explore the implications of the Einstein-Maxwell equations, specifically referencing the charged C-metric as a potential example. The charged C-metric is identified as a runaway Reissner-Nordström particle, suggesting a complex relationship between completeness and null characteristics in spacetimes.

PREREQUISITES
  • Understanding of general relativity and spacetime concepts
  • Familiarity with Einstein-Maxwell equations
  • Knowledge of C-metric and Reissner-Nordström solutions
  • Basic grasp of completeness in mathematical contexts
NEXT STEPS
  • Research the properties of the charged C-metric in detail
  • Study the implications of null incompleteness in spacetimes
  • Explore the relationship between timelike and spacelike completeness
  • Examine other solutions of the Einstein-Maxwell equations
USEFUL FOR

The discussion is beneficial for theoretical physicists, mathematicians specializing in general relativity, and researchers exploring the properties of spacetimes in advanced cosmological models.

martinbn
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Is there a spacetime which is timelike and spacelike complete but null incomplete?
 
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Would you consider an Einstein-Maxwell solution? There's the charged C-metric, which is a runaway Reissner-Nordstrom particle.
 


I was just curious, so I would consider anything. Can you tell me more or direct me.
 

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