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We construct a generic class of models for complex scalar fields -- minimally coupled to gravity and electromagnetism -- with the property that their energy-momentum tensor and the electric current vanish for certain massive configurations.…

High Energy Physics - Theory · Physics 2023-03-24 Cristian Quinzacara , Paola Meza , Almeira Sampson , Mauricio Valenzuela

The no-scalar-hair conjecture rules out the existence of asymptotically flat black holes with a scalar dressing for a large class of theories. No-scalar-hair theorems have been proved for the cases of neutral black holes and for charged…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Michail D. Todorov

We discuss the consequences of violating the no-hair theorem on magnetic fields surrounding a black hole. This is achieved by parametrically deforming the Kerr spacetime and studying the effects of such deformations on asymptotically…

High Energy Astrophysical Phenomena · Physics 2017-05-10 Pierre Christian

It is well known that the Smarr formula does not hold for black holes in non-linear electrodynamics. The main reason for this is the fact that the trace of the energy momentum tensor for nonlinear electrodynamics does not vanish as it is…

General Relativity and Quantum Cosmology · Physics 2017-12-22 Leonardo Balart , Sharmanthie Fernando

We prove two theorems which imply that any stationary nonlinear electromagnetic field obeying a dominant energy condition in a strictly stationary, everywhere regular, asymptotically flat spacetime must be either trivial or a stealth field.…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Ana Bokulić , Tajron Jurić , Ivica Smolić

The vanishing of the electromagnetic field, for purely electric configurations of spontaneously broken Abelian models, is established in the domain of outer communications of a static asymptotically flat black hole. The proof is gauge…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eloy Ayón-Beato

We explore General Relativity solutions with stealth scalar hair in general quadratic higher-order scalar-tensor theories. Adopting the assumption that the scalar field has a constant kinetic term, we derive in a fully covariant manner a…

General Relativity and Quantum Cosmology · Physics 2020-06-18 Kazufumi Takahashi , Hayato Motohashi

The search for regular black holes with nonlinear electromagnetic fields has sprouted numerous candidates, each exhibiting certain virtues but often accompanied by significant drawbacks. We demonstrate that Komar mass, electric charge and…

General Relativity and Quantum Cosmology · Physics 2026-01-22 Ana Bokulić , Tajron Jurić , Ivica Smolić

We give a proof of the non-perturbative no hair theorems for a massive 2-form field with 3-form field strength for general stationary axisymmetric and static (anti)-de Sitter or asymptotically flat black hole spacetimes with some suitable…

General Relativity and Quantum Cosmology · Physics 2013-09-03 Sourav Bhattacharya

In the present work, it is shown that an asymptotically flat spherical black hole can have a nontrivial signature of any field for an exterior observer if the energy momentum tensor of the corresponding field is either tracefree or if the…

General Relativity and Quantum Cosmology · Physics 2013-07-08 Narayan Banerjee , Somasri Sen

We show that a large class of null electromagnetic fields are immune to any modifications of Maxwell's equations in the form of arbitrary powers and derivatives of the field strength. These are thus exact solutions to virtually any…

High Energy Physics - Theory · Physics 2018-03-09 Marcello Ortaggio , Vojtěch Pravda

In this work we establish in a rigorous manner, and a model independent way, the conditions for bypassing Bekenstein's no-scalar-hair theorem for static, spherically symmetric, and asymptotically flat black holes, while maintaining the…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Panagiotis Dorlis , Nick E. Mavromatos , Sotirios-Neilos Vlachos

Recent results show that when non-linear electrodynamics is considered the no-scalar-hair theorems in the scalar-tensor theories (STT) of gravity, which are valid for the cases of neutral black holes and charged black holes in the Maxwell…

General Relativity and Quantum Cosmology · Physics 2008-12-25 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Michail D. Todorov

We study influence of scalar fields on Nonlinear Electrodynamics spacetimes. The investigation is carried out using both test and gravitating scalar fields. After revisiting Einstein-Maxwell scalar field solutions we focus on analytic…

General Relativity and Quantum Cosmology · Physics 2020-06-15 T. Tahamtan

The non-existence of asymptotically flat, neutral black holes and asymptotically flat, charged black holes in the Maxwell electrodynamics, with non-trivial scalar field has been proved for a large class of scalar-tensor theories. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Michail D. Todorov

We show that the no-hair theorem for scalar-tensor theories with bi-metric structure can be evaded. We find that hairy black hole solutions in the presence of an electric charge admit AdS, flat or dS asymptotics with spherical, flat, or…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Cristian Erices , Pantelis Filis , Eleftherios Papantonopoulos

We consider a gravitating system of vanishing cosmological constant consisting of an electromagnetic field and a scalar field coupled to the Einstein tensor. A Reissner-Nordstr\"om black hole undergoes a second-order phase transition to a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Theodoros Kolyvaris , George Koutsoumbas , Eleftherios Papantonopoulos , George Siopsis

We present a new class of regular, spherically symmetric spacetimes in nonlinear electrodynamics that are asymptotically dynamical but not de Sitter, exhibiting power-law Maxwell behavior at infinity. Generalizing to black holes, we derive…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Yi-bo Liang , Hong-Rong Li

Making use of twistor structures and the Kerr theorem for shear-free null geodesic congruences, an infinite family of electromagnetic fields satisfying the homogeneous Maxwell equations in flat Minkowski and the associated curved…

General Relativity and Quantum Cosmology · Physics 2013-11-22 Vladimir V. Kassandrov

Scalar-tensor theories are a natural alternative to general relativity, as they may provide an effective dark energy phenomenology on cosmological scales while passing local tests, but their black hole solutions are still poorly understood.…

General Relativity and Quantum Cosmology · Physics 2023-10-11 Lodovico Capuano , Luca Santoni , Enrico Barausse
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