Solutions and basic properties of regularized Maxwell theory

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

doi:10.1103/physrevd.107.124031

Cited by 9 publications

(1 citation statement)

References 59 publications

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“…The simplest example is the power-Maxwell Lagrangian of the form L (F) = −F p /4; given that one chooses parameter p = (2 + ε)/(2 + 2ε) with |ε| < 1, spherically symmetric electric field in such a theory will have the form E r = Qr −2(1+ε) . Less trivial examples can be found among recently introduced ModMax [23,24] and RegMax [25] NLE theories.…”

Section: First Order Correction To Maxwellmentioning

confidence: 99%

Hexadecapole at the heart of nonlinear electromagnetic fields

Bokulić,

Jurić,

Smolić

2024

Class. Quantum Grav.

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In classical Maxwell's electromagnetism, monopole term of the electric field is proportional to $r^{-2}$, while higher order multipole terms, sourced by anisotropic sources, fall-off faster. However, in nonlinear electromagnetism even a spherically symmetric field has multipole-like contributions. We prove that the leading sub\-dominant term of the electric field, defined by nonlinear electromagnetic Lagrangian obeying Maxwellian weak field limit, in a static, spherically symmetric, asymptotically flat spacetime, is of the order $O(r^{-6})$ as $r \to \infty$. Moreover, using Lagrange inversion theorem and Fa{\`a} di Bruno's formula, we derive the series expansion of the electric field from the Taylor series of an analytic electromagnetic Lagrangian.

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Section: First Order Correction To Maxwellmentioning

confidence: 99%

Hexadecapole at the heart of nonlinear electromagnetic fields

Bokulić,

Jurić,

Smolić

2024

Class. Quantum Grav.

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Exploring accelerating hairy black holes in 2+1 dimensions: the asymptotically locally anti-de Sitter class and its holography

Cisterna,

Diaz,

Mann

et al. 2023

J. High Energ. Phys.

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In the realm of lower-dimensional accelerating spacetimes, it is well-established that the presence of domain walls, which are co-dimension one topological defects, is a necessary condition for their construction. We expand upon the geometric framework employed in the generation of such spacetime solutions by incorporating a conformally coupled scalar field within the matter sector. This endeavor leads to the identification of several new families of three-dimensional accelerating spacetimes with asymptotically locally anti-de Sitter (AdS) behavior. Notably, one of these solutions showcases a hairy generalization of the accelerating BTZ black hole. This solution is constructed at both slow and rapid phases of acceleration, and its connection with established vacuum spacetime models is explicitly elucidated. The inclusion of the scalar field imparts a non-constant Ricci curvature to the domain wall, thereby rendering these configurations particularly suitable for the construction of two-dimensional quantum black holes. To establish a well-posed variational principle in the presence of the domain wall, two essential steps are undertaken. First, we extend the conventional renormalized AdS3 action to accommodate the presence of the scalar field. Second, we explicitly incorporate the Gibbons-Hawking-York term associated with the internal boundaries of our geometries and account for the tension of the domain wall in the action. This dual step process enables us to derive the domain wall field equations via the variational principle. Consequently, the action furnishes the appropriate quantum statistical relation. We engage in holographic computations, thereby determining the explicit form of the holographic stress tensor. In this context, the stress tensor can be expressed as that of a perfect fluid situated on a curved background. Additionally, it paves the road to ascertain the spacetime mass. Finally, we close by demonstrating the existence of three-dimensional accelerating spacetimes with asymptotically locally flat and asymptotically locally de Sitter geometries, particularly those embodying black holes.

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Maxwell construction and multi-criticality in uncharged generalized quasi-topological black holes

Lu,

Mann

2023

Class. Quantum Grav.

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we demonstrate the existence of N-tuple critical points of uncharged AdS black holes in generalized quasi-topological theories. The criticality is shown to have a geometrical interpretation described by the Maxwell’s equal area rule. We present a compact reformulation of the area rule and identify a criterion for the emergence such points. Using this criterion, we construct several multi-critical points with genuine generalized quasi-topological densities, including a quadruple and a quintuple points.

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Solutions and basic properties of regularized Maxwell theory

Cited by 9 publications

References 59 publications

Hexadecapole at the heart of nonlinear electromagnetic fields

Hexadecapole at the heart of nonlinear electromagnetic fields

Exploring accelerating hairy black holes in 2+1 dimensions: the asymptotically locally anti-de Sitter class and its holography

Maxwell construction and multi-criticality in uncharged generalized quasi-topological black holes

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