Non-singular rotating black hole with a time delay in the center. (English) Zbl 1337.83034
Summary: As proposed by C. Bambi and L. Modesto [Phys. Lett., B 721, No. 4–5, 329–334 (2013; Zbl 1309.83058)], rotating non-singular black holes can be constructed via the Newman-Janis algorithm. Here we show that if one starts with a modified Hayward black hole with a time delay in the centre, the algorithm succeeds in producing a rotating metric, but curvature divergences reappear. To preserve finiteness, the time delay must be introduced directly at the level of the non-singular rotating metric. This is possible thanks to the deformation of the inner stationarity limit surface caused by the regularisation, and in more than one way. We outline three different possibilities, distinguished by the angular velocity of the event horizon. Along the way, we provide additional results on the Bambi-Modesto rotating Hayward metric, such as the structure of the regularisation occurring at the centre, the behaviour of the quantum gravity scale alike an electric charge in decreasing the angular momentum of the extremal black hole configuration, or details on the deformation of the ergosphere.
MSC:
| 83C57 | Black holes |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
| 83C40 | Gravitational energy and conservation laws; groups of motions |
Citations:
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