1. Beyond Schwarzschild: new pulsating coordinates for spherically symmetric metrics.
- Author
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León, E. A., Nieto, J. A., Sandoval-Rodríguez, A., and Martínez-Olivas, B.
- Subjects
- *
COORDINATES , *COMMONS , *SPACETIME , *BLACK holes , *TESTUDINIDAE - 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, it represents any causal patch of the spherically symmetric metrics in a compactified form. We analyze general properties of the new proposed "pulsating coordinates", and then proceed to apply the transformation for the Schwarzschild spacetime, as well as for several cosmological solutions, contrasting properties with the Kruskal case. In particular, Anti-de-Sitter solution presents interesting features. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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