Definition of Spatial Velocity in GR Homework

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The term "spatial velocity" in the context of General Relativity (GR) refers to the three-dimensional velocity vector derived from the four-velocity U, which is defined as U = (1+t^2, t^2, t√2, 0) in units where the speed of light c=1. This vector, denoted as \vec v, represents the spatial components of motion in a four-dimensional spacetime framework. The discussion clarifies the correct spelling of the term as "spatial," although "spacial" is also recognized as acceptable.

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Reedeegi
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I was doing some homework for GR when I came across the term "spacial velocity." What is its definition?

It's in the context of finding the spatial velocity using the knowledge of the four-velocity U being U = (1+t^2,t^2,t√2,0) [I don't need help with the problem itself, I just need to know the definition in this context]
 
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Check out this post. They must be talking about the 3-vector I call [itex]\vec v[/itex]. (Note that I'm using units such that c=1).

Oh yeah, and it's spelled "spatial". :biggrin:

Hm, maybe not. Dictionary.com says that "spacial" is OK too.
 
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