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A regular center instead of a black bounce
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abstract
The widely discussed ``black-bounce'' mechanism of removing a singularity at $r=0$ in a spherically symmetric space-time, proposed by Simpson and Visser, consists in removing the point $r=0$ and its close neighborhood, resulting in emergence of a regular minimum of the spherical radius that can be a wormhole throat or a regular bounce. Instead, it has been recently proposed to make $r=0$ a regular center by properly modifying the metric, still preserving its form in regions far from $r=0$. Different algorithms of such modifications have been formulated for a few classes of singularities. The previous paper considered space-times whose Ricci tensor satisfies the condition $R^t_t =R^r_r$, and regular modifications were obtained for the Schwarzschild, Reissner-Nordstr\"om metrics, and two examples of solutions with magnetic fields obeying nonlinear electrodynamics (NED). The present paper considers regular modifications of more general space-times, and as examples, modifications with a regular center have been obtained for the Fisher (also known as JNW) solution with a naked singularity and a family of dilatonic black holes. Possible field sources of the new regular metrics are considered in the framework of general relativity (GR), using the fact that any static, spherically symmetric metric with a combined source involving NED and a scalar field with some self-interaction potential. This scalar field is, in general, not required to be of phantom nature (unlike the sources for black bounces), but in the examples discussed here, the possible scalar sources are phantom in a close neighborhood of $r=0$ and are canonical outside it.
Forward citations
Cited by 6 Pith papers
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For NED with Maxwell weak-field limit, monopole stability of STT solutions with F=0 is identical to Maxwell-STT, and the zero-charge limit of V_eff erases all NED traces.
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Spherically symmetric and static black bounces with multiple horizons, throats, and anti-throats in four dimensions
A new family of static, spherically symmetric black bounce spacetimes with multiple horizons, throats, and anti-throats is constructed and sourced by a partially phantom scalar field with nonlinear electrodynamics.
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Gravitational quasinormal-mode frequencies of a T-duality-inspired regular black hole are computed, showing the zero-point length makes the ringdown oscillate faster and alters damping non-monotonically.
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Embedding Wormholes and Dyonic Black Strings in Warped Braneworlds via Local Sum Rules
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