Slowly rotating black holes in nonlinear electrodynamics

Kubizňák, David; Tahamtan, T.; Svítek, Otakar

doi:10.1103/physrevd.105.104064

Cited by 25 publications

(6 citation statements)

References 65 publications

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“…[15,16] (see also [16,17] for the case of Taub-NUT solutions). On the other hand, the presence of slow rotation reveals the full non-linearity of the theory [18] and the full rotating solution is currently unknown. In what follows we concentrate on a particularly interesting class of solutions of the ModMax theory ( 9) that describes accelerated charges and black holes.…”

Section: Theories Of Nle and The Modmax Theorymentioning

confidence: 99%

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Accelerated Black Holes beyond Maxwell's Electrodynamics

Barrientos,

Cisterna,

Kubiznak

et al. 2022

Preprint

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Theories of non-linear electrodynamics naturally describe deviations from Maxwell's theory in the strong field regime. Among these, of special interest is the recently discovered ModMax electrodynamics, which is a unique 1-parametric generalization of Maxwell's theory that possesses the conformal invariance as well as the electromagnetic duality. In this paper we construct the asymptotically AdS accelerated black holes in this theory and study their thermodynamics -providing thus a first example of accelerated solutions coupled to non-linear electrodynamics. Our study opens a window towards studying radiative spacetimes in non-linear electromagnetic regime as well as raises new challenges for their corresponding holographic interpretation.

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Section: Theories Of Nle and The Modmax Theorymentioning

confidence: 99%

“…Interestingly, there is already a small catalogue of such solutions. Namely, it was shown that the spherically symmetric [15,16] and the Taub-NUT [16,17] solutions in the ModMax theory are (although slightly different from those of Maxwell) remarkably 'Maxwell-like', though this is no longer true in the presence of slow rotation [18].…”

Section: Introductionmentioning

confidence: 99%

Accelerated Black Holes beyond Maxwell's Electrodynamics

Barrientos,

Cisterna,

Kubiznak

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In regular solutions for rotating charged black holes and soliton-like objects [31][32][33][34][35][36][37][38][39][40][41][42], geometrical singularity is successfully removed by applying regular spherical mass functions in the Newman-Janis algorithm, but there remains inconsistency concerning the Lagrange dynamics directly related to the behavior of the electromagnetic field [37], calculated from the electromagnetic potential "postulated as an ad hoc result" in the Newman-Janis algorithm [43]. As a result, one obtains an approximate solution for electromagnetic tensor F µν , which does not satisfy the whole system of the field equations [37].…”

Section: Introductionmentioning

confidence: 99%

Density and Mass Function for Regular Rotating Electrically Charged Compact Objects Determined by Nonlinear Electrodynamics Minimally Coupled to Gravity

Dymnikova

2023

Particles

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We address the question of the electromagneticdensity and the mass function for regular rotating electrically charged compact objects as determined by dynamical equations of nonlinear electrodynamics minimally coupled to gravity. The rotating electrically charged compact objects are described by axially symmetric geometry, in which their electromagnetic fields are governed by four source-free equations for two independent field components of the electromagnetic tensor Fμν, with two constraints on the integration functions. An additional condition of compatibility of four dynamical equations for two independent field functions imposes the constraint on the Lagrange derivative LF=dL/dF, directly related to the electromagnetic density. As a result, the compatibility condition determines uniquely the generic form of the electromagnetic density and the mass function for regular rotating electrically charged compact objects.

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“…Very recently this model was coupled with gravity in a magnetic field regime to construct a sort of thin-shell wormhole that is supported by a cloud of exotic dust [11]. There are other related studies that can be seen in [12][13][14][15] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Generalization of the Guendelman nonlinear electrodynamics model

Mazharimousavi¹

2022

Phys. Scr.

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In this study, we present a generalized version of the specific nonlinear electrodynamic model introduced by Guendelman [PLB640(2006)201] as a result of spontaneously breaking the scale invariance of Maxwell's linear theory. The generalized model involves a new integer parameter $n$ so that $n=2$ reproduces Guendelman's model. Although with each $n$ in principle there exist a new model but technically only $n=2$ and $n=3$ yield a closed analytical expression.

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Slowly rotating black holes in nonlinear electrodynamics

Cited by 25 publications

References 65 publications

Accelerated Black Holes beyond Maxwell's Electrodynamics

Accelerated Black Holes beyond Maxwell's Electrodynamics

Density and Mass Function for Regular Rotating Electrically Charged Compact Objects Determined by Nonlinear Electrodynamics Minimally Coupled to Gravity

Generalization of the Guendelman nonlinear electrodynamics model

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