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On black bounces, wormholes and partly phantom scalar fields
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abstract
Simpson and Visser recently proposed a phenomenological way to avoid some kinds of space-time singularities by replacing a parameter whose zero value corresponds to a singularity (say, $r$) with the manifestly nonzero expression $r(u) = \sqrt{u^2 + b^2}$, where $u$ is a new coordinate, and $b =$ \const $>0$. This trick, generically leading to a regular minimum of $r$ beyond a black hole horizon (called a "black bounce"), may hopefully mimic some expected results of quantum gravity, and was previously applied to regularize the Schwarzschild, Reissner-Nordstr\"om, Kerr and some other metrics. In this paper it is applied to regularize the Fisher solution with a massless canonical scalar field in general relativity (resulting in a traversable wormhole) and a family of static, spherically symmetric dilatonic black holes (resulting in regular black holes and wormholes). These new regular metrics represent exact solutions of general relativity with a sum of stress-energy tensors of a scalar field with a nonzero self-interaction potential and a magnetic field in the framework of nonlinear electrodynamics with a Lagrangian function $L(F)$, $F = F_{\mu\nu} F^{\mu\nu}$. A novel feature in the present study is that the scalar fields involved have "trapped ghost" properties, that is, are phantom in a strong-field region and canonical outside it, with a smooth transition between the regions. It is also shown that any static, spherically symmetric metric can be obtained as an exact solution to the Einstein equations with the stress-energy tensor of the above field combination.
Forward citations
Cited by 8 Pith papers
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Black bounces to traversable wormholes from pure gravity in four and higher dimensions
Any static spherically symmetric wormhole or black bounce with a single integration constant can be made the unique vacuum solution of some specially constructed higher-dimensional pure-metric gravity theory.
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No regular purely electric black strings exist in NED recovering the Maxwell limit, but regular cylindrical Bardeen and Hayward analogues are constructed with finite curvature.
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Nonlinear electrodynamics and stability of spherically symmetric space-times in scalar-tensor gravity
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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Black bounce sourced by non-minimally coupled linear electrodynamics and a canonical scalar field through a thin shell at the throat
A new family of black bounce and wormhole solutions in general relativity is constructed from a canonical scalar field non-minimally coupled to linear electrodynamics, with the required energy-condition violation conf...
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Embedding Wormholes and Dyonic Black Strings in Warped Braneworlds via Local Sum Rules
Embedding of Ellis-Bronnikov wormhole and NED-sourced magnetic/dyonic black strings into RS braneworlds using Local Sum Rules; the dyonic q→0 limit is inconsistent as written.
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Correspondence between quasinormal modes and grey-body factors of spherically symmetric traversable wormholes
For three families of traversable wormholes, the authors verify that the WKB correspondence between quasinormal modes and grey-body factors, known for black holes, holds to second order beyond the eikonal limit.
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Field Sources for Wormholes With Multiple Throats/Anti-throats
For a wormhole metric with multiple throats and anti-throats, the authors build explicit phantom-scalar-plus-nonlinear-electrodynamics sources and show the energy conditions can hold locally near the center.
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