Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields

Hendi, S. H.; Panah, B. Eslam; Panahiyan, S.; Momennia, Mehrab

doi:10.1140/epjc/s10052-018-5914-x

Cited by 10 publications

(4 citation statements)

References 115 publications

(101 reference statements)

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“…For the study of magnetic brane solutions in modified gravity theories coupled to NEDs see e.g. [124] and references there in.…”

Section: Other Specimens Of Non‐linear Electrodynamics and Their Appl...mentioning

confidence: 99%

Introductory Notes on Non‐linear Electrodynamics and its Applications

Sorokin

2022

Fortschritte der Physik

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In 1933-1934 Born and Infeld constructed the first non-linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler computed a complete effective action describing non-linear corrections to Maxwell's theory due to quantum electron-positron one-loop effects. Since then, these and a variety of other models of non-linear electrodynamics proposed in the course of decades have been extensively studied and used in a wide range of areas of theoretical physics including string theory, gravity, cosmology and condensed matter (CMT). In these notes I will overview general properties of non-linear electrodynamics and particular models which are distinguished by their symmetries and physical properties, such as a recently discovered unique non-linear modification of Maxwell's electrodynamics which is conformal and duality invariant. I will also sketch how non-linear electromagnetic effects may manifest themselves in physical phenomena (such as vacuum birefringence), in properties of gravitational objects (e.g. charged black holes) and in the evolution of the universe, and can be used, via gravity/CMT holography, for the description of properties of certain conducting and insulating materials.

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“…For the study of magnetic brane solutions in modified gravity theories coupled to NEDs see e.g. [124] and references there in.…”

Section: Other Specimens Of Non‐linear Electrodynamics and Their Appl...mentioning

confidence: 99%

Introductory Notes on Non‐linear Electrodynamics and its Applications

Sorokin

2022

Fortschritte der Physik

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“…When modelling the system, time-delays and non-linearities [22][23][24] are inevitable due to some factors such as the modelling error, internal disturbances and environmental changes and so on. As a special kind of non-linear factors, the conic non-linearities [25][26][27][28][29] lies within a hypersphere; the centre is the linear system and the radius is bounded by the norm of another linear systems. As early as 1745, Euler gives a systematic exposition of conic curves in 'Introduction to analysis'.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time stabilisation for a class of time‐delayed Markovian jumping systems with conic non‐linearities

Nie

Luan

2019

IET Control Theory & Applications

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“…On the other hand, from different point of view, there has also been a vast literature in the study of black hole, both in GR as well as in the alternative gravitational theories, with nonlinear electrodynamics (NLED) charge [26][27][28][29][30][31][32][33][34][35][36][37][38][39], most of which are done in four dimensions. In this work we devote our effort to studying the generalization of charged black holes in arbitrary dimensions, both with linear (Maxwell) as well as nonlinear electrodynamics (NLED), in the same way Reissner-Nordstrom-(A)dS is generalized to higher dimensions in [40].…”

Section: Introductionmentioning

confidence: 99%

Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity

Jayawiguna

Ramadhan

2019

Nuclear Physics B

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We study static (electrically)-charged solutions of Eddington-inspired Born-Infeld (EiBI) theory of gravity in general D-dimensional spacetime. We consider both linear (Maxwell) as well as nonlinear electrodynamics for the matter fields. In this particular work, the nonlinear theory we specifically consider is the Born-Infeld (BI) electrodynamics. The solutions describe higherdimensional black holes in EiBI gravity. For the linear Maxwell field, we show that the electric field is still singular for D > 4. This singularity is cured when EiBI is coupled to the BI electrodynamics. We obtain EiBI-BI black hole solutions in the limit ofα ≡ 4κb 2 /λ = 1 and 2. We also investigate their thermodynamical property. We show that all solutions satisfy the first-law of black hole thermodynamics, from which their corresponding ADM mass can be extracted. It is found that κ imposes a charge screening that makes the corresponding Hawking temperature experiences some sudden jump from charged-type to the Schwarzschild-type at some critical value of κ. Thermodynamical stability reveals that the EiBI-BI black holes can exist with smaller horizon than their Reissner-Nordstrom (RN) counterparts. * Electronic address: byon.nugraha@ui.ac.id † Electronic address: hramad@ui.ac.id arXiv:1810.08780v4 [gr-qc] 5 Apr 2019Black hole has been an intriguing phenomenon in gravitational physics that fascinates both theoretical physicists as well as astronomers. In General Relativity (GR), the theoretical existence of black holes is inevitable. Observationally, the recent detection of gravitational waves is a solid proof that such object does exist physically [1].Although as a modern cosmological framework general relativity is very successful, several large-scale or strong-field regime phenomena (such as the accelerated expansion of the universe, the big bang singularity, etc) demands a more satisfactory explanation. This is the main reason behind the vast modern literature on modified-gravitational theories beyond GR. Among many excellent alternative theory of gravity, the Eddington-inspired Born-Infeld (EiBI) theory proposed by Banados and Ferreira recently enjoys widespread attention [2]. Constructed based on the old proposal of Eddington gravitational action [3] combined withthe nonlinearity of the Born-Infeld (BI) theory [4], this particular theory resurrects the popular old-Born-Infeld gravity models [5,6]. This theory offers interesting solutions to some theoretical and cosmological problems, like the freedom from ghosts and instabilities [7], or the non-singularity of big bang and big crunch [8,9] (however, see the discussions in [10][11][12]). In nuclear astrophysics the EiBI model finds its (perhaps) most active elaboration since coupling it to the NS equation of state (EOS) enables one to obtain the observed mass of the Neutron Star (NS) while simultaneously solves the "hyperon puzzle" (see, for example, [13,14] and references therein). For a comprehensive review on EiBI gravity, see [15].Despite the extensive investigation on the astroph...

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Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields

Cited by 10 publications

References 115 publications

Introductory Notes on Non‐linear Electrodynamics and its Applications

Introductory Notes on Non‐linear Electrodynamics and its Applications

Finite‐time stabilisation for a class of time‐delayed Markovian jumping systems with conic non‐linearities

Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity

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