Nonlinear electromagnetic fields in strictly stationary spacetimes

Bokulić, Ana; Jurić, Tajron; Smolić, Ivica

doi:10.1103/physrevd.105.024067

Cited by 11 publications

(5 citation statements)

References 63 publications

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“…Our results reveal severe obstructions to the prospect of black hole regularization with NLE fields and are, in some sense, complemented by the recent no-go results [43] for stationary, asymptotically flat, everywhere regular solutions of Einstein-NLE field equations. Fundamental obstacle is given already with the Theorem 1: Electrically charged black hole in a theory with a MWF limit obeying NLE Lagrangian cannot be regular, not even in a mild sense used in this paper.…”

Section: Final Remarkssupporting

confidence: 61%

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Constraints on singularity resolution by nonlinear electrodynamics

Bokulić,

Jurić,

Smolić

2022

Preprint

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One of the long standing problems is a quest for regular black hole solutions, in which a resolution of the spacetime singularity has been achieved by some physically reasonable, classical field, before one resorts to the quantum gravity. The prospect of using nonlinear electromagnetic fields for this goal has been limited by the Bronnikov's no-go theorems, focused on Lagrangians depending on the electromagnetic invariant F ab F ab only. We extend Bronnikov's results by taking into account Lagrangians which depend on both electromagnetic invariants, F ab F ab and F ab F ab , and prove that the tension between the Lagrangian's Maxwellian weak field limit and boundedness of the curvature invariants persists in more general class of theories.

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Section: Final Remarkssupporting

confidence: 61%

“…For more comprehensive overview of NLE theories and their properties we refer reader to classic lectures by Plebański [40], as well as some more recent papers [41][42][43].…”

Section: An Overview Of Nlementioning

confidence: 99%

Constraints on singularity resolution by nonlinear electrodynamics

Bokulić,

Jurić,

Smolić

2022

Preprint

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“…For instance, NEDs coupled to gravity have been used to construct new black hole solutions and study their properties and stability (see e.g. [8–10, 12, 35, 77–95] and also [21, 52, 53, 96–105] for the latest developments and review), to create cosmological models (which might avoid initial Big‐Bang singularities), [ 106,107 ] to mimic dark energy and generate an accelerated expansion of the universe, [ 108–115 ] as well as in the context of AdS/CFT correspondence and gravity/CMT holography (see e.g. [14, 116–122] and [123] for a recent review and more references).…”

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

confidence: 99%

“…Taub‐NUT and Reissner‐Nordström, accelerated ones and others), and gravitational waves have been explored in a number of papers. [ 98,102,129–137 ] Here I will restrict the discussion only to the simplest example of the Reissner‐Nordström black hole.…”

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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“…The generalized ModMax model of nonlinear electrodynamics coupled to general relativity has been studied in [14]. The question regarding triviality or being a stealth field of stationary nonlinear electromagnetic field within the ModMax model has been discussed in [15]. BH thermodynamics in the presence of nonlinear electromagnetic fields described by the ModMax model have been explored in [16].…”

Section: Introductionmentioning

confidence: 99%

Exploring the shadow of a rotating charged ModMax black hole

Karshiboev,

Atamurotov,

Abdujabbarov

et al. 2024

Commun. Theor. Phys.

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The research presented in this paper discusses the impact that the parameters of charge ($Q$) and screening factor ($\gamma$) have on properties of the horizon and silhouette of rotating charged ModMax black holes which were reviewed in [Eur.~Phys.~J.~C (2022)~82:1155]recently, building upon previous findings in the field. Furthermore, the study explores the behavior of null geodesics, which can help us better understand the apparent shape of the black hole's silhouette, as well as the distortion parameter and approximate radii of the silhouette that are influenced by the aforementioned parameters and there are some values of parameter $Q$ which corresponds to data from EHT. Notably, we explore the distortion parameter and approximate radii of the silhouette, revealing that while an increase in $\gamma$ leads to a growth in silhouette radius ($R_s$), it simultaneously reduces the distortion rate ($\delta_s$). Conversely, heightened $Q$ charge results in a reduction of $R_s$ accompanied by an increase in $\delta_s$. Lastly, the paper analyzes the effects of black hole's parameters on the effective potential and energy emission that the peak of the energy emission rate experiences a decline as the screening factor ($\gamma$) increases, while it ascends with higher values of the charge parameter ($Q$).

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Nonlinear electromagnetic fields in strictly stationary spacetimes

Cited by 11 publications

References 63 publications

Constraints on singularity resolution by nonlinear electrodynamics

Constraints on singularity resolution by nonlinear electrodynamics

Introductory Notes on Non‐linear Electrodynamics and its Applications

Exploring the shadow of a rotating charged ModMax black hole

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