Evolving black holes from conformal transformations of static solutions
| Autor: | Mello, Marina M. C., Maciel, Alan, Zanchin, Vilson T. |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 95, 084031 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.95.084031 |
| Popis: | A class of nonstationary spacetimes is obtained by means of a conformal transformation of the Schwarzschild metric, where the conformal factor $a(t)$ is an arbitrary function of the time coordinate only. We investigate several situations including some where the final state is a central object with constant mass. The metric is such that there is an initial big-bang type singularity and the final state depends on the chosen conformal factor. The Misner-Sharp mass is computed and a localized central object may be identified. The trapping horizons, geodesic and causal structure of the resulting spacetimes are investigated in detail. When $a(t)$ asymptotes to a constant in a short enough time scale, the spacetime presents an event horizon and its analytical extension reveals black-hole or white-hole regions. On the other hand, when $a(t)$ is unbounded from above as in cosmological models, the spacetime presents no event horizons and may present null singularities in the future. The energy-momentum content and other properties of the respective spacetimes are also investigated. Comment: 23 pages, 24 figures |
| Databáze: | arXiv |
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