Smoothness of the horizons of multi-black-hole solutions
| Autor: | Dean Welch |
|---|---|
| Rok vydání: | 1995 |
| Předmět: |
Physics
010308 nuclear & particles physics Event horizon Astrophysics::High Energy Astrophysical Phenomena White hole Charged black hole 01 natural sciences Black hole General Relativity and Quantum Cosmology Classical mechanics Rotating black hole 0103 physical sciences Extremal black hole Black brane 010306 general physics Black hole thermodynamics Mathematical physics |
| Zdroj: | Physical Review D. 52:985-991 |
| ISSN: | 0556-2821 |
| Popis: | In a recent paper it was suggested that some multi-black-hole solutions in five or more dimensions have horizons that are not smooth. These black hole configurations are solutions to d-dimensional Einstein gravity (with no dilaton) and are extremely charged with a magnetic-type (d-2)-form. In this work we investigate these solutions further. It is shown that although the curvature is bounded as the horizon of one of the black holes is approached, some derivatives of the curvature are not. This shows that the metric is not ${\mathit{C}}^{\mathrm{\ensuremath{\infty}}}$, but rather is only ${\mathit{C}}^{\mathit{k}}$ with k finite. These solutions are static so their lack of smoothness cannot be attributed to the presence of radiation. |
| Databáze: | OpenAIRE |
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