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

Dymnikova, Irina; Galaktionov, E. V.

doi:10.1142/s2010194516601204

Cited by 4 publications

(7 citation statements)

References 32 publications

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“…P ϕ ⩾, we see that it is satisfied up to r ≃ 480 and for r ⩾ r * ∼ 10 6 where P ϕ is positive. Similar results have been obtained in [50][51][52] but in the context of regular rotating black holes asymptotically matching Kerr-Newman solution. Is worth to note that practically all models attempting to mimics rotation curves of galaxies, as for example the ones present in [35], violate WEC at least r = 0.…”

Section: Building Solutions With F(r) = R Satisfying Decsupporting

confidence: 84%

“…Is worth to note that practically all models attempting to mimics rotation curves of galaxies, as for example the ones present in [35], violate WEC at least r = 0. For models with f(r) = r a further component, for example an electromagnetic field, must be added [52].…”

Section: Building Solutions With F(r) = R Satisfying Decmentioning

confidence: 99%

“…The recent achievement of supermassive black hole (SMBH) at the center of M87 [30] and Sgr A * (our galaxy) [31] by Event Horizon Telescope Collaboration increased the interest and the necessity to obtain theoretical models mimicking a central SMBH surrounded by a dark matter halo, with particular attention payed to the shadow images of SMBH and orbital motion of the well known S2 star near the event horizon of SMBH at Sgr A * (see for example [32][33][34][35][36][37][38][39][40][41][42][43][44][45] and references therein). In mainstream approaches, the central SMBH is often depicted in terms of static solutions (see for example [45]) or regular rotating black holes (see for example [35,[46][47][48][49][50][51][52] and references therein). Regular rotating black holes are obtained by means of Gurses-Gursey algorithm.…”

Section: Introductionmentioning

confidence: 99%

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Physically viable rotating mass solutions surrounding Kerr black holes

Viaggiu

2023

Class. Quantum Grav.

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There exists in literature an increasing interest in the study of mass distributions surrounding black holes as describing dark matter halo in spiral galaxies. Motivated by this interest, we study a very recent new class of rotating solutions that are suitable to build anisotropic matter sources surrounding rotating black holes. Contrary to the mainstream approach, instead of use the so called regular black holes as central objects, we perform a smooth matching between the aforementioned anisotropic matter and a central vacuum Kerr black hole. In this framework, we study in full generality energy conditions near the matching surface. As a result, we found that, after imposing the vanishing of the energy density$E$ at the matching surface, if weak and dominant energy conditions (WEC,DEC) are satisfied, then unavoidable strong energy conditions is violated, i.e. near the event horizon only matter with dark energy-like features is allowed. As an application, we present two solutions everywhere satisfying DEC. The first one is asymptotically flat and equipped with a non vanishing electric charge, while the second solution presented is equipped with a non-vanishing energy flow around the symmetry axis and it is not asymptotically flat.

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Section: Building Solutions With F(r) = R Satisfying Decsupporting

confidence: 84%

Section: Building Solutions With F(r) = R Satisfying Decmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Physically viable rotating mass solutions surrounding Kerr black holes

Viaggiu

2023

Class. Quantum Grav.

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“…The regular black hole solution in the f (T ) gravity with nonlinear electrodynamics has been found in [14]. All the subtleties of the nonlinear effects were discussed in [15][16][17][18]. Rotating regular black hole solutions have been introduced in [19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics

2017

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We construct regular rotating black hole and no-horizon spacetimes based on the recently introduced spherically symmetric generic regular black hole spacetimes related to electric or magnetic charge under nonlinear electrodynamics coupled to general relativity that for special values of the spacetime parameters reduce to the Bardeen and Hayward spacetimes. We show that the weak and strong energy conditions are violated inside the Cauchy horizons of these generic rotating black holes. We give the boundary between the rotating black hole and no-horizon spacetimes and determine the black hole horizons and the boundary of the ergosphere. We introduce the separated Carter equations for the geodesic motion in these rotating spacetimes. For the most interesting new class of the regular spacetimes, corresponding for magnetic charges to the Maxwell field in the weak field limit of the nonlinear electrodynamics, we determine the structure of the circular geodesics and discuss their properties. We study the epicyclic motion of a neutral particle moving along the stable circular orbits around the "Maxwellian" rotating regular black holes. We show that epicyclic frequencies measured by the distant observers and related to the oscillatory motion of the neutral test particle along the stable circular orbits around the rotating singular and regular Maxwellian black holes are always smaller than ones in the Kerr spacetime.

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“…In the case of continuous invariant , considered here, conditions (30) and (35) are satisfied automatically and lead, with taking into account generic behavior of a Lagrangian, L int = L ext on Σ , to ext = int , L (int) = L (ext) , and ⊥(int) = ⊥(ext) on Σ . For a discontinuous invariant the situation will be different [52].…”

Section: Variational Problemmentioning

confidence: 99%

Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity

Dymnikova

Galaktionov

Tropp

2015

Advances in Mathematical Physics

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We address the question of correct description of Lagrange dynamics for regular electrically charged structures in nonlinear electrodynamics coupled to gravity. Regular spherically symmetric configuration satisfying the weak energy condition has obligatory de Sitter center in which the electric field vanishes while the energy density of electromagnetic vacuum achieves its maximal value. The Maxwell weak field limitLF→Fasr→∞requires vanishing electric field at infinity. A field invariantFevolves between two minus zero in the center and at infinity which makes a LagrangianLFwith nonequal asymptotic limits inevitably branching. We formulate the appropriate nonuniform variational problem including the proper boundary conditions and present the example of the spherically symmetric Lagrangian describing electrically charged structure with the regular center.

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

Cited by 4 publications

References 32 publications

Physically viable rotating mass solutions surrounding Kerr black holes

Physically viable rotating mass solutions surrounding Kerr black holes

Generic rotating regular black holes in general relativity coupled to nonlinear electrodynamics

Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity

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