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arXiv · 2405.00278

Beyond Schwarzschild: New Pulsating Coordinates for Spherically Symmetric Metrics

E. A. León·J. A. Nieto·A. Sandoval-Rodríguez·B. Martínez-Olivas
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Abstract

Starting from a general transformation for spherically symmetric metrics where g\_11=-1/g\_00, we analyze coordinates with the common property of conformal flatness at constant solid angle element. Three general possibilities arise: one where tortoise coordinate appears as the unique solution, other that includes Kruskal-Szekeres coordinates as a very specific case, but that also allows other similar transformations, and finally a new set of coordinates with very different properties than the other two. In particular, this represents any causal patch of the spherically symmetric metrics in a compactified form. We analyze some relations, taking the Schwarzschild case as prototype, but also contrasting the cosmological de-Sitter and Anti-de-Sitter solutions for the new proposed pulsating coordinates.

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E. A. León, J. A. Nieto, A. Sandoval-Rodríguez, B. Martínez-Olivas. 2024-05-01. Beyond Schwarzschild: New Pulsating Coordinates for Spherically Symmetric Metrics. https://doi.org/10.1007/s10714-024-03218-8

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