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

Thread starter martinbn
Start date Oct 30, 2011
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Complete Spacetime

In summary, a spacetime is a four-dimensional continuum that combines space and time. It can be timelike, spacelike, or null depending on the relationship between events. A spacetime can be both timelike and spacelike complete, meaning it has no boundaries or edges, but no causal relationship between events. This type of spacetime is often studied in theoretical physics. While there are currently no observed examples, it is a concept used in various branches of physics.

Oct 30, 2011

martinbn

Science Advisor

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

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Nov 1, 2011

Bill_K

Science Advisor

Insights Author

Would you consider an Einstein-Maxwell solution? There's the charged C-metric, which is a runaway Reissner-Nordstrom particle.

Nov 1, 2011

martinbn

Science Advisor

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

1. What is a spacetime?

A spacetime is a mathematical model used in physics to describe the relationship between space and time. It combines the three dimensions of space (length, width, and height) with the dimension of time to create a four-dimensional continuum.

2. What does it mean for a spacetime to be timelike, spacelike, or null?

In a spacetime, the concept of causality is defined by the relationship between events. A timelike spacetime allows for a causal relationship between events, where one event can potentially influence another. A spacelike spacetime does not allow for a causal relationship, as the events are too far apart in space. A null spacetime means there is no causal relationship between the events, as they are either simultaneous or too far apart in both space and time.

3. Can a spacetime be both timelike and spacelike complete?

Yes, it is possible for a spacetime to be both timelike and spacelike complete. This means that every possible path in the spacetime can be followed without reaching a boundary or edge.

4. What is the significance of a spacetime being timelike and spacelike complete but null?

A spacetime that is both timelike and spacelike complete but null means that every possible path can be followed without reaching a boundary, but there is no causal relationship between events. This type of spacetime is often used in theoretical physics to study the behavior of particles in extreme conditions, such as near a black hole.

5. Are there any observed examples of a spacetime which is timelike and spacelike complete but null?

Currently, there are no observed examples of a spacetime that is timelike and spacelike complete but null. However, it is a theoretical concept that is used in various branches of physics, including general relativity and quantum mechanics.