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Solving the Geodesic Equation - University of Rochester

Solving the Geodesic Equation - University of Rochester

www.pas.rochester.edu

! rcos(˚ ˚) = ‘ (35) where ˚ is an integration constant. Using a trigonometric identity to expand the cosine and the fact that x rcos(˚) and y rsin(˚), we have xcos(˚) + ysin(˚) = ‘ (36) This is just an equation for a straight line! Thus, the solution to the geodesic equation comes out to what we would expect. 4 More Killing Vectors

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