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Beyond Schwarzschild: New Pulsating Coordinates for Spherically Symmetric Metrics
- Source :
- Gen Relativ Gravit 56, 35 (2024)
- Publication Year :
- 2024
-
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.<br />Comment: 17 pages, 4 figures. Preliminar result was presented in GRG23 Conference (China, 2022). Find the published version (DOI below), improving interpretations and a result about AdS Spacetime in: https://rdcu.be/dz1ftrdcu.be/dz1ft
Details
- Database :
- arXiv
- Journal :
- Gen Relativ Gravit 56, 35 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2405.00278
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s10714-024-03218-8