A positive lightlike vector is a nonzero vector dimensional Lorentzian
space Lorentzian inner product
with itself is zero and its first component positive . Symbolically,
lightlike if both
and
hold.
The set of all positive lightlike vectors forms the top half of the light
cone .
See also Light Cone ,
Lightlike ,
Lorentzian Inner Product ,
Lorentzian
Space ,
Metric Signature ,
Negative
Lightlike ,
Negative Timelike ,
Positive
Timelike ,
Spacelike ,
Timelike
Portions of this entry contributed by Christopher
Stover
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References Misner, C. W.; Thorne, K. S.; and Wheeler, J. A. Gravitation. Ratcliffe,
J. G. Foundations
of Hyperbolic Manifolds. Referenced
on Wolfram|Alpha Positive Lightlike
Cite this as:
Weisstein, Eric W. , with contributions by Christopher Stover . "Positive Lightlike." From MathWorld https://mathworld.wolfram.com/PositiveLightlike.html
Subject classifications
in 
-dimensional Lorentzian
space 
such that its Lorentzian inner product
with itself is zero and its first component 
is positive. Symbolically,
is positive lightlike if both
