Light-cone coordinates: Difference between revisions

I guess there might be a mistake, the sign before dx+dx- should be -1?
(Corrected minus sign reflecting Lorentzian signature)
(I guess there might be a mistake, the sign before dx+dx- should be -1?)
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:<math>ds^2=-dt^2+\delta_{ij}dx^i dx^j</math>,
with <math>i,j=1,\dots,d</math> we have
:<math>ds^2=-2dx^+dx^- + \delta_{ij}dx^i dx^j</math>
with <math>i,j=1,\dots,d-1</math>, <math>x^+=\frac{t+x}{\sqrt{2}}</math> and <math>x^-=\frac{t-x}{\sqrt{2}}</math>.
 
Anonymous user