Regular frames for spherically symmetric black holes revisited
| Autor: | Toporensky, A. V., Zaslavskii, O. B. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Symmetry, 14, 40 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.3390/sym14010040 |
| Popis: | We consider a space-time of a spherically symmetric black hole with one simple horizon. As a standard coordinate frame fails in its vicinity, this requires continuation across the horizon and constructing frames which are regular there. Up to now, several standard frames of such a kind are known. It was shown in literature before, how some of them can be united in one picture as different limits of a general scheme. However, some types of frames (the Kruskal-Szekeres and Lema\^{\i}tre ones) and transformations to them from the original one remained completely disjoint. We show that the Kruskal-Szekeres and Lema\^{\i}tre frames stem from the same root. Overall, our approach in some sense completes the procedure and gives the most general scheme. We relate the parameter of transformation $e_{0}$ to the specific energy of fiducial observers and show that in the limit $% e_{0}\rightarrow 0$ a homogeneous metric under the horizon can be obtained by a smooth limiting transition. Comment: 19 pages, 1 jpg figure; figure added, typos corrected; published version |
| Databáze: | arXiv |
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