Definition of a Lorentzian Wormhole

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SUMMARY

The definition of a Lorentzian wormhole, as articulated by Matt Visser, states that if a Minkowski spacetime contains a compact region Ω with the topology Ω ~ R × Σ, where Σ is a three-manifold of nontrivial topology and its boundary ∂Σ ~ S2, and if the hypersurfaces Σ are all spacelike, then Ω contains a quasipermanent intrauniverse wormhole. This definition is crucial for understanding traversable wormholes in the context of general relativity. The discussion highlights the complexity of the terminology involved, particularly for those with minimal background in relativity.

PREREQUISITES
  • Understanding of Minkowski spacetime
  • Familiarity with topology, specifically three-manifolds
  • Basic knowledge of general relativity concepts
  • Awareness of quasipermanent structures in theoretical physics
NEXT STEPS
  • Read "Lorentzian Wormholes" by Matt Visser for in-depth understanding
  • Study the properties of Minkowski spacetime in detail
  • Explore the concept of topology in physics, focusing on three-manifolds
  • Investigate the implications of traversable wormholes in general relativity
USEFUL FOR

This discussion is beneficial for students of physics, particularly those studying general relativity and theoretical physics, as well as researchers interested in the properties and implications of wormholes.

Falcus
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I was reading into traversable wormholes when I came across this definition from Matt Visser; 'If aMinkowski spacetimecontains a compact region Ω, and if the topology of Ω is of the form Ω ~ R × Σ, where Σ is a three-manifold of the nontrivial topology, whose boundary has topology of the form ∂Σ ~ S2, and if, furthermore, thehypersurfacesΣ are all spacelike, then the region Ω contains a quasipermanent intrauniverse wormhole'. My knowledge of relativity is extremely minimal as I am currently studying A levels. I was wondering if someone could break this down for me? I have come across a lot of the terminology before and didn't understand it at the time so thought maybe it was finally time to ask.

Thanks in advance
Falcus
 
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Falcus said:
I came across this definition from Matt Visser

Can you give a reference to the specific article or paper? It would help to have more context.
 
PeterDonis said:
Can you give a reference to the specific article or paper? It would help to have more context.

I am guessing the book : Lorentzian wormholes
 

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