New type of regular black holes and particlelike solutions from nonlinear electrodynamics

Burinskii, Alexander; Hildebrandt, S. R.

doi:10.1103/physrevd.65.104017

Cited by 160 publications

(172 citation statements)

References 30 publications

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“…10,19 Rotation transforms the de Sitter center into de Sitter vacuum disk which has properties of a perfect conductor and ideal diamagnetic and displays superconducting behavior within a single spinning object.…”

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confidence: 99%

Regular rotating electrically charged structures in nonlinear electrodynamics minimally coupled to gravity

Dymnikova

Galaktionov

2016

Int. J. Mod. Phys. Conf. Ser.

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In nonlinear electrodynamics minimally coupled to gravity, regular spherically symmetric electrically charged solutions satisfy the weak energy condition and have obligatory de Sitter center. By the Gürses-Gürsey algorithm they are transformed to regular axially symmetric solutions asymptotically Kerr-Newman for a distant observer. Rotation transforms de Sitter center into de Sitter equatorial disk embedded as a bridge into a de Sitter vacuum surface. The de Sitter surfaces satisfy [Formula: see text] and have properties of a perfect conductor and ideal diamagnetic. The Kerr ring singularity is replaced with the superconducting current which serves as a non-dissipative electromagnetic source of the asymptotically Kerr-Newman geometry. Violation of the weak energy condition is prevented by the basic requirement of electrodynamics of continued media.

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confidence: 99%

Regular rotating electrically charged structures in nonlinear electrodynamics minimally coupled to gravity

Dymnikova

Galaktionov

2016

Int. J. Mod. Phys. Conf. Ser.

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“…The stability analysis of the metric (39), with the SET split as a sum of a source-free radial electric or magnetic field T μν em−st and a perfect fluid (pressureless dust) with negative density T μν d−st , has been investigated in a couple of papers [55][56][57] and recently in [54]. The analysis made in [54] completes and generalizes that of [56].…”

Section: Stability Issuesmentioning

confidence: 89%

“…Notice that the conditions (25) are met by all regular static black holes constructed so far [37][38][39][40][41] and that not only F ,rr (0) is finite, but all derivatives of F are so at r = 0. Application of this case to regular static black holes allows one to generate all their normal regular rotating counterparts.…”

Section: The Curvature Scalar and Stress-energy Tensormentioning

confidence: 99%

“…In the case G = F, the Kerr and the rotating de Sitter solution were derived in [36] and examples of normal and conformal regular rotating cores were given too. It is straightforward to use (12) to derive regular rotating black holes from each known regular static one [37][38][39][40][41]: All one needs to do is to insert the metric {G, F, H } of the static regular hole in (12) along with = s . To our knowledge, existing static regular black holes have {G, F, H } = {F, F, r 2 }, yielding K = H = r 2 and q 2 = 0 [see (19)], so that s = r 2 + a 2 y 2 and all derived regular rotating black holes will be normal.…”

Section: The Curvature Scalar and Stress-energy Tensormentioning

confidence: 99%

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From static to rotating to conformal static solutions: rotating imperfect fluid wormholes with(out) electric or magnetic field

2014

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We derive a shortcut stationary metric formula for generating imperfect fluid rotating solutions, in BoyerLindquist coordinates, from spherically symmetric static ones. We explore the properties of the curvature scalar and stress-energy tensor for all types of rotating regular solutions we can generate without restricting ourselves to specific examples of regular solutions (regular black holes or wormholes). We show through examples how it is generally possible to generate an imperfect fluid regular rotating solution via radial coordinate transformations. We derive rotating wormholes that are modeled as imperfect fluids and discuss their physical properties. These are independent on the way the stress-energy tensor is interpreted. A solution modeling an imperfect fluid rotating loop black hole is briefly discussed. We then specialize to the recently discussed stable exotic dust Ellis wormhole as emerged in a source-free radial electric or magnetic field, and we generate its, conjecturally stable, rotating counterpart. This turns out to be an exotic imperfect fluid wormhole, and we determine the stress-energy tensor of both the imperfect fluid and the electric or magnetic field.

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“…It also includes (B) nonrotating regular black holes [11][12][13][14][15][16][17] and their rotating counterparts [19][20][21] as well as some nonrotating black holes of f (R) and f (T ) gravities [22,23].…”

Section: Generalizing the Ansatzmentioning

confidence: 99%

Vacuum and nonvacuum black holes in a uniform magnetic field

Azreg‐Aïnou

2016

Eur. Phys. J. C

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We modify and generalize the known solution for the electromagnetic field when a vacuum, stationary, axisymmetric black hole is immersed in a uniform magnetic field to the case of nonvacuum black holes (of modified gravity) and determine all linear terms of the vector potential in powers of the magnetic field and the rotation parameter. The magnetic field problemA Killing vector ξ μ in vacuum (no stress-energy T μν ≡ 0) is endowed with the property of being parallel, that is, proportional, to some vector potential A μ that solves the sourceless (no currentsMaxwell field equations. So, ξ μ is itself a solution to the same source-less Maxwell field equations. In Ref.[1], this property was employed as an ansatz to determine the electromagnetic field of a vacuum, stationary, axisymmetric, asymptotically flat black hole placed in a uniform magnetic field that is asymptotically parallel to the axis of symmetry. The ansatz stipulates that the vector potential of the solution be in the plane spanned by the timelike Killing vector ξ μ t = (1, 0, 0, 0) and spacelike one ξ μ ϕ = (0, 0, 0, 1) of the stationary, axisymmetric black hole,Since ξ μ t and ξ μ ϕ are pure geometric objects, they do not encode information on the applied magnetic field B; such information is encoded in the coefficients (C t , C ϕ ). Here B is taken as a test field, so the metric of the stationary, axisymmetric black hole too does not encode any information on the applied magnetic field.In this work, a spacetime metric has signature (+, −, −, −) and andrespectively, 1 where B and Q are seen as perturbations, that is, if the metric of the background black hole is that of Kerr, then Qξ t μ /(2M) is, up to an additive constant, the one-form A μ dx μ = −Qr(dt − a sin 2 θ dϕ)/ρ 2 of the Kerr-Newman black hole (with ρ 2 = r 2 + a 2 cos 2 θ ). It is important to emphasize this point: the potential given by (1) and (3) is not an exact solution to the source-less Maxwell equations,if the background metric is that of the charged black hole itself. Rather, it is a solution to (4) if the background metric is that of the corresponding uncharged black hole. For instance, in the Kerr background metric, the potential given by (1) and (3) is a solution to (4), but in the KerrNewman background metric the nonvanishing electric charge density J t and the ϕ current density J ϕ expand in powers of Q aswhich are zero to first order only. Even if rotation is suppressed (a = 0), J t is still nonzero:and its integral charge is also nonzero. Where does this electric charge density come from (the only existing electric 1 The sign "+" in (3) in front of Q is due to our metric-signature choice.123

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New type of regular black holes and particlelike solutions from nonlinear electrodynamics

Cited by 160 publications

References 30 publications

Regular rotating electrically charged structures in nonlinear electrodynamics minimally coupled to gravity

Regular rotating electrically charged structures in nonlinear electrodynamics minimally coupled to gravity

From static to rotating to conformal static solutions: rotating imperfect fluid wormholes with(out) electric or magnetic field

Vacuum and nonvacuum black holes in a uniform magnetic field

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