Beyond Schwarzschild: New Pulsating Coordinates for Spherically Symmetric Metrics
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913365560918016 |
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| author | León, E. A. Nieto, J. A. Sandoval-Rodríguez, A. Martínez-Olivas, B. |
| author_facet | León, E. A. Nieto, J. A. Sandoval-Rodríguez, A. Martínez-Olivas, B. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_00278 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Beyond Schwarzschild: New Pulsating Coordinates for Spherically Symmetric Metrics León, E. A. Nieto, J. A. Sandoval-Rodríguez, A. Martínez-Olivas, B. General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 83C15 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. |
| title | Beyond Schwarzschild: New Pulsating Coordinates for Spherically Symmetric Metrics |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 83C15 |
| url | https://arxiv.org/abs/2405.00278 |