On the conformal transformation between two anisotropic fluid spacetimes
| Autor: | Kopiński, Jarosław |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Class. Quantum Grav. 38 135029 2021 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-6382/ac05d6 |
| Popis: | We investigate the necessary conditions for the two spacetimes, which are solutions to the Einstein field equations with an anisotropic matter source, to be related to each other by means of a conformal transformation. As a result, we obtain that if one of such spacetimes is a generalization of the Robertson-Walker solution with vanishing acceleration and vorticity, then the other one has to be in this class as well, i.e. the conformal factor will be a constant function on the hypersurfaces orthogonal to the fluid flow lines. The evolution equation for this function appears naturally as a direct consequence of the conformal transformation of the Ricci tensor. Comment: 11 pages |
| Databáze: | arXiv |
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