A negative lightlike vector is a nonzero vector 
in 
-dimensional Lorentzian
space 
such that its Lorentzian
inner product with itself is zero and its first component
is negative (Ratcliffe 2006, p. 55). Symbolically,
is negative lightlike if both
and
hold.
The collection of all negative lightlike vectors forms
the bottom half of the light cone.
See also
Light Cone,
Lightlike,
Lorentzian Inner Product,
Lorentzian
Space,
Metric Signature,
Negative
Timelike,
Positive Lightlike,
Positive
Timelike,
Spacelike,
Timelike
Portions of this entry contributed by Christopher
Stover
Explore with Wolfram|Alpha
References
Misner, C. W.; Thorne, K. S.; and Wheeler, J. A. Gravitation.
San Francisco, CA: W. H. Freeman, p. 53, 1973.Ratcliffe,
J. G. Foundations
of Hyperbolic Manifolds, 2nd ed. New York: Springer-Verlag, 2006.Referenced
on Wolfram|Alpha
Negative Lightlike
Cite this as:
Weisstein, Eric W., with contributions by Christopher Stover. "Negative Lightlike." From MathWorld--A
Wolfram Resource. https://mathworld.wolfram.com/NegativeLightlike.html
Subject classifications
