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In general relativity, Kruskal–Szekeres coordinates, named after Martin Kruskal and George Szekeres, are a coordinate system for the Schwarzschild geometry for a black hole. These coordinates have the advantage that they cover the entire spacetime manifold of the maximally extended Schwarzschild solution and are well-behaved everywhere ...
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Kruskal–Szekeres coordinates, a chart covering the entire spacetime manifold of the maximally extended Schwarzschild solution and are well-behaved everywhere outside the physical singularity, Eddington–Finkelstein coordinates , an alternative chart for static spherically symmetric spacetimes,
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In general relativity, solutions to the Einstein field equation are specified locally using coordinate charts. Many of these are sufficiently important in the subject to have their own names and their own Wikipedia articles. We collect them here.
The list below is a collection of available official national projected Coordinate Reference Systems. Links to the relevant unique identification codes of the EPSG Geodetic Parameter Dataset, the most comprehensive collection Coordinate Reference Systems, are provided in the table.
The constant tachyonic geodesic outside is not continued by a constant geodesic inside , but rather continues into a "parallel exterior region" (see Kruskal–Szekeres coordinates). Other tachyonic solutions can enter a black hole and re-exit into the parallel exterior region.
Similarly R seems appropriate for an everywhere-spacelike coordinate. Usage in the literature seems mixed. While some use (u,v) others do use (T,R) (t,r) or similar. For example Rindler's Relativity: Special, General and Cosmological uses (t,x). This usage would be similar to the use of (T,X) for Minkowski coordinates in the Rindler coordinates ...