Beyond Schwarzschild: New Pulsating Coordinates for Spherically Symmetric Metrics
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.
Keywords
Cite
@article{arxiv.2405.00278,
title = {Beyond Schwarzschild: New Pulsating Coordinates for Spherically Symmetric Metrics},
author = {E. A. León and J. A. Nieto and A. Sandoval-Rodríguez and B. Martínez-Olivas},
journal= {arXiv preprint arXiv:2405.00278},
year = {2024}
}
Comments
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