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Regular black holes as an alternative to black bounce
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abstract
The so-called black bounce mechanism of singularity suppression, proposed by Simpson and Visser, consists in replacing the spherical radius $r$ in the metric tensor with $\sqrt{r^2 + a^2}$, $a = \rm const >0$. This removes a singularity at $r=0$ and its neighborhood from space-time, and there emerges a regular minimum of the spherical radius that can be a wormhole throat or a regular bounce (if located inside a black hole). Instead, it is proposed here to make $r=0$ a regular center by proper (Bardeen type) replacements in the metric, preserving its form at large $r$. Such replacements are applied to a class of metrics satisfying the condition $R^t_t = R^r_r$ for their Ricci tensor, in particular, to the Schwarzschild, Reissner-Nordstr\"om and Einstein-Born-Infeld solutions. A simpler version of nonlinear electrodynamics (NED) is proposed, for which a black hole solution is similar to the Einstein-Born-Infeld one but is simpler expressed analytically. All new regular metrics can be presented as solutions to NED-Einstein equations with radial magnetic fields.
Forward citations
Cited by 7 Pith papers
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Evaporating cosmologically coupled black holes
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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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Gravitational perturbations of a regular T-duality inspired black hole: Quasinormal modes, excitation factors, and time-domain evolution
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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Periodic Timelike Motion and Gravitational Wave Signatures around a Magnetically Charged Black Hole Surrounded by Quintessence
Quintessence shifts orbital radii, turning points, and zoom-whirl parameters for timelike geodesics around a magnetically charged black hole, producing burst-like gravitational waveforms whose phase, timing, and milli...
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Long-lived quasinormal frequencies for regular black hole supported by the Einasto profile in the presence of the magnetic field
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Polymer Black Hole Surrounded by Quintessence
A polymer black hole with quintessence yields a shadow that can match Sgr A* for many combinations of free parameters while cooling and dimming the black hole.
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