Evolving black holes from conformal transformations of static solutions
| Autor: | Alan Maciel, Marina M. C. Mello, Vilson T. Zanchin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Physics
High Energy Physics - Theory Cosmology and Nongalactic Astrophysics (astro-ph.CO) Geodesic Spacetime 010308 nuclear & particles physics Event horizon FOS: Physical sciences Conformal map General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Singularity Classical mechanics High Energy Physics - Theory (hep-th) Conformal symmetry 0103 physical sciences Schwarzschild metric Gravitational singularity 010306 general physics Mathematical physics Astrophysics - Cosmology and Nongalactic Astrophysics |
| 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. 23 pages, 24 figures |
| Databáze: | OpenAIRE |
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