- X)<0} null or
lightlike if g ( X , X ) = 0 {\displaystyle \,g(X,X)=0}
spacelike if g ( X , X ) > 0 {\displaystyle \,g(X,X)>0} Here we use the ( − , +...
- spacetime,
where tangent vectors can be
classified as timelike, null, and
spacelike. In
differential geometry, a
differentiable manifold is a
space that is...
- is that the
proper distance is
defined between two
spacelike-separated
events (or
along a
spacelike path),
while the
proper time is
defined between two...
-
spacelike boundary,
unlike the
timelike boundary found on
conventional spacetime diagrams. This is due to the
interchanging of
timelike and
spacelike...
- null surfaces. But
marginally trapped surfaces may be
spacelike,
timelike or null. They are
spacelike surfaces (topological spheres, tubes, etc.) with restricted...
- hyperbolae,
which cross the ct axis, are
spacelike curves because all
intervals along these hyperbolae are
spacelike intervals: No
causality is
possible between...
-
potential "****ure" positions, from the object's
frame of reference, that are
spacelike separated to
observers in an
external rest frame. From this
outside viewpoint...
- the
order that
presents the
timelike component first,
followed by the
spacelike components). A
similar convention is used in higher-dimensional relativistic...
- The
coordinate vector field ∂ u {\displaystyle \partial _{u}} can be
spacelike, null, or
timelike at a
given event in the spacetime,
depending upon the...
-
which takes the
value 0 for the
timelike component, and 1, 2, 3 for the
spacelike coordinates. The
zeroth component is
defined as the time
coordinate multiplied...
