Near spacetime singularities, Synge's world function and van Vleck determinant exhibit drastically altered scaling that reveals non-trivial geodesic flow structures.
The World Function in Robertson-Walker Spacetime
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abstract
A method for finding the world function of Robertson-Walker spacetimes is presented. It is applied to find the world function for the $k=0, \ga=2$, solution. The close point approximation for the Robertson-Walker world function is calculated upto fourth order.
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gr-qc 1years
2025 1verdicts
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Geodesic structure of spacetime near singularities
Near spacetime singularities, Synge's world function and van Vleck determinant exhibit drastically altered scaling that reveals non-trivial geodesic flow structures.