Nonlinear arcsin‐electrodynamics and asymptotic Reissner‐Nordström black holes

Kruglov, S. I.

doi:10.1002/andp.201600027

Cited by 68 publications

(46 citation statements)

References 56 publications

(84 reference statements)

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“…[43] (see also ref. [45]. The attractive feature of this model of nonlinear electrodynamics is that the electric field of a point-like charge is finite at the origin and the static electric energy of a particle is also finite.…”

Section: Introductionmentioning

confidence: 99%

Holographic Superconductors with Nonlinear Arcsin‐Electrodynamics

Kruglov

2018

Annalen der Physik

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Holographic s-wave superconductors with nonlinear arcsin-electrodynamics in the background of Schwarzschild anti-de Sitter black holes are investigated. The analytical Sturm-Liouville eigenvalue problem is explored and the scalar and electromagnetic fields are assumed not to influence the background metric (the probe limit). The critical temperatures of phase transitions depending on the parameter of the model are obtained. It is shown that in this case, the condensation formation becomes easier compared to Born-Infeld nonlinear electrodynamics. The critical exponent near the critical temperature is calculated, which is 1/2. With the help of the matching method, analytic expressions for the condensation value and the critical temperature are derived. The real and imaginary parts of the conductivity in the model, making use of an analytical method, are computed.

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Section: Introductionmentioning

confidence: 99%

Holographic Superconductors with Nonlinear Arcsin‐Electrodynamics

Kruglov

2018

Annalen der Physik

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“…We note that corrections to the RN solution in Eq. (44) are with opposite sign comparing to the case of the electrically charged BH [46]. From Eqs.…”

Section: Magnetic Bhmentioning

confidence: 88%

“…Nevertheless, for completeness, we will study this case. The case of the electrically charged BH was investigated in [46]. From Eq.…”

Section: Magnetic Bhmentioning

confidence: 99%

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Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics

Kruglov¹

2019

Annals of Physics

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Dyonic and magnetic black holes solutions with spherically symmetric configurations in general relativity are obtained. Black holes possessing electric and magnetic charges are studied where the source of the gravitational field is electromagnetic fields obeying the arcsinelectrodynamics. We find corrections to Coulomb's law and Reissner− Nordström solutions. The principles of causality and unitarity are investigated. We obtain the Hawking temperature and it was shown that at some event horizons there are second-order phase transitions. of relativistic magnetohydrodynamics [12]. The superconductivity was studied in [13] and thermodynamic properties of the dyonic BH were investigated in [14]. All these show the importance of studying dyonic BHs.In this paper we investigate the dyonic BH in the framework of the nonlinear arcsin-electrodynamics. The nonlinear electrodynamics (NED) can solve the problems of singularities in the origin of particles and the problem of infinite self-energy at the classical level. Born and Infeld (BI) [15] proposed the model of NED that can solve problems of singularities. Heisenberg and Euler have shown that QED due to loop corrections gives NED [16]. Then some NED models were appeared that possess similar properties [17]- [27]. NED's coupled to general relativity (GR) were studied in [28]- [40]. Thermodynamics of the BH and corrections to Reisner−Nordström (RN) solutions were investigated [41]- [48]. Electrically and magnetically charged BHs were studied [49]- [56]. It was demonstrated that phase transitions can occur in the BH. Inflation and current acceleration of the universe also can be explained by NED coupled to GR [57]- [66].The paper is organized as follows. The principles of causality and unitarity of arcsin-electrodynamics are considered in section 2. In section 3 the dyonic solution of the BH is obtained. Corrections to Coulomb's law and RN solutions are found. The curvature singularities are studied and we calculate the Kretschmann scalar. The thermodynamics of the BH is considered in section 4. The Hawking temperature of the BH is obtained. In section 5 we study the magnetically charged BH. We show that at some model parameters there can be naked singularities, extremal BH solutions and BH solutions with two horizons. The Hawking temperature and corrections to RN solution are found. We show the possibility of phase transitions in the BH. Section 6 is devoted to a conclusion.We use units with c = 1, k B = 1, and signature η = diag(−, +, +, +).

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“…[], respectively, an arcsine model

L = - \frac{1}{β} \sin^{- 1} false(β scriptF false)

in ref. [], and a three parameter model

L = - F - \frac{a F}{1 + 2 β F} + \frac{γ}{2} G

, in which

scriptF

and

scriptG

are the Maxwell invariants in ref. [].…”

Section: Introductionmentioning

confidence: 99%

Gravitational Lensing in a Model of Nonlinear Electrodynamics: The Case for Electrically and Magnetically Charged Compact Objects

Gürtuğ

Mangut

2020

Annalen der Physik

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The astrophysical applicability of the electrically and magnetically charged black hole solutions obtained in a model of nonlinear electrodynamics proposed by Kruglov is investigated. Theoretical calculations of the bending angles and gravitational redshifts from the theory of general relativity are studied numerically by using the stellar data of charged compact objects and a hypothetical quark star model. Calculations have revealed that although the theoretical outcomes differ from the linear Maxwell case, the plotted bending angles coincide with the linear case and it becomes hard to identify the effect of nonlinearity. However, the calculation of the redshift has shown that while the increase in the electric field leads to a decrease in the gravitational redshift,the presence of the strong magnetic field contributes to the gravitational redshift in an increasing manner.

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Nonlinear arcsin‐electrodynamics and asymptotic Reissner‐Nordström black holes

Cited by 68 publications

References 56 publications

Holographic Superconductors with Nonlinear Arcsin‐Electrodynamics

Holographic Superconductors with Nonlinear Arcsin‐Electrodynamics

Dyonic and magnetic black holes with nonlinear arcsin-electrodynamics

Gravitational Lensing in a Model of Nonlinear Electrodynamics: The Case for Electrically and Magnetically Charged Compact Objects

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