In another thread, it was asked if we could use the angular deficit idea to determine curvature not in space, but in space-time.(adsbygoogle = window.adsbygoogle || []).push({});

My idea to attempt to proceed along these lines would be to generalize the idea of angle, but I don't have anything that I feel I can point to.

As a starting point, I'd like to ask - if we have a flat Minkowskii spacetime, and form a triangle form one timelike geodesic and two null geodesics, is there a meaningful concept of the "angles" of this triangle that sum to 180 degrees? Possibly based on using the dot product to determine the angle?

One example of such a triange would be setting the three points of the triangle as (t,x) given by (0,0) (2,0) (1,1)

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# Angles in Lorentzian geometry

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