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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 explore the use of the recently defined scalar charge which satisfies a Gauss law in stationary spacetimes, in the context of theories with a scalar potential. We find new conditions that this potential has to satisfy in order to allow…

General Relativity and Quantum Cosmology · Physics 2023-08-15 Romina Ballesteros , Tomás Ortín

Charged and/or rotating black holes in General Relativity feature Cauchy horizons, which indicate a breakdown of predictability in the theory. Focusing on spherically symmetric charged black holes, we remark that the inevitability of…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Tomáš Hale , Robie A. Hennigar , David Kubiznak

Stealth field configurations by definition have a vanishing energy-momentum tensor, thus do not contribute to the gravitational field equations. While only trivial fields can be stealth in Maxwell's electrodynamics, nontrivial stealth…

General Relativity and Quantum Cosmology · Physics 2018-04-27 Ivica Smolić

We construct electrically charged Kerr black holes (BHs) with scalar hair. Firstly, we take an uncharged scalar field, interacting with the electromagnetic field only indirectly, via the background metric. The corresponding family of…

General Relativity and Quantum Cosmology · Physics 2016-09-14 Jorge F. M. Delgado , Carlos A. R. Herdeiro , Eugen Radu , Helgi Runarsson

In the present paper we consider multi-scalar extension of Einstein-Gauss-Bonnet gravity. We focus on multi-scalar Einstein-Gauss-Bonnet models whose target space is a three-dimensional maximally symmetric space, namely either…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Daniela D. Doneva , Kalin V. Staykov , Stoytcho S. Yazadjiev , Radostina Z. Zheleva

We obtain a newly charged BBMB (Bocharova-Bronnikov-Melnikov-Bekenstein) black hole solution from the Einstein-Weyl-Maxwell-conformal (conformally coupled) scalar theory with a positive Weyl coupling parameter $m^2_2$ numerically. This…

General Relativity and Quantum Cosmology · Physics 2020-04-15 De-Cheng Zou , Yun Soo Myung

We find spherically symmetric and static black holes in shift-symmetric Horndeski and beyond Horndeski theories. They are asymptotically flat and sourced by a non trivial static scalar field. The first class of solutions is constructed in…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Eugeny Babichev , Christos Charmousis , Antoine Lehébel

We study a simple theory based on general relativity, minimally coupled to a constrained scalar triplet and to an auxiliary non-propagating three-form sector. Within a spherically symmetric hedgehog ansatz, the theory admits a continuous…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Sebastian Bahamonde

The present thesis attempts to study the effect of scalar fields on Hawking radiation and quasinormal modes of black holes. We selected a static, spherically symmetric electrically charged black hole with an additional scalar 'hair' for our…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Avijit Chowdhury

We obtain and analyze an exact solution to Einstein-Maxwell-scalar theory in $(2+1)$ dimensions, in which the scalar field couples to gravity in a non-minimal way, and it also couples to itself with the self-interacting potential solely…

General Relativity and Quantum Cosmology · Physics 2013-06-12 Wei Xu , Liu Zhao

We study static spherically symmetric solutions to the vacuum field equations of quadratic gravity in the presence of a cosmological constant $\Lambda$. Motivated by the trace no-hair theorem, we assume the Ricci scalar to be constant…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Vojtech Pravda , Alena Pravdova , Jiri Podolsky , Robert Svarc

We study static, spherically symmetric black holes supported by Euler-Heisenberg theory of electrodynamics and coupled to two different modified theories of gravity. Such theories are the quadratic $f(R)$ model and Eddington-inspired…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Merce Guerrero , Diego Rubiera-Garcia

The phenomenon of spontaneous scalarisation of charged black holes (BHs) has recently motivated studies of various Einstein-Maxwell-scalar models. Within these models, different classes of BH solutions are possible, depending on the…

General Relativity and Quantum Cosmology · Physics 2020-05-25 Jose Luis Blázquez-Salcedo , Carlos A. R. Herdeiro , Jutta Kunz , Alexandre M. Pombo , Eugen Radu

General static solutions for a massless scalar field coupled to a class of effectively 2-d gravity theories continuously connecting spherically symmetric $d$-dimensional Einstein gravity ($d >3$) and the CGHS model are analytically…

High Energy Physics - Theory · Physics 2009-10-28 Youngjai Kiem , Dahl Park

Can a black hole that suffers a superradiant instability evolve towards a 'hairy' configuration which is stable? We address this question in the context of Einstein-charged scalar field theory. First, we describe a family of static black…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Sam R Dolan , Supakchai Ponglertsakul , Elizabeth Winstanley

Nonlinearly scalarized black holes are investigated in Einstein-scalar-Gauss-Bonnet (EsGB) theory with polynomial coupling functions $\zeta(\phi)$ satisfying $\zeta''(0) = 0$, where $\zeta'(\phi) = 0$ features besides $\phi=0$ solutions…

General Relativity and Quantum Cosmology · Physics 2026-05-12 De-Cheng Zou , Xu Yang , Meng-Yun Lai , Hyat Huang , Bo Liu , Jutta Kunz , Yun Soo Myung , Rui-Hong Yue

It is proved that spherically symmetric asymptotically flat neutral black holes cannot support spatially regular static configurations made of massive scalar fields with non-minimal coupling to gravity. Interestingly, our compact no-hair…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Shahar Hod

We investigate the scenario of black holes coupled with the Euler-Heisenberg nonlinear electromagnetic field in the framework of $f(R,T)$ gravity. The black hole solutions for electrically charged, magnetically charged and the dyonic case…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Yizhi Liang , Jun Tao , Rui Yang

In mimetic gravity, we derive $D$-dimension charged black hole solutions having flat or cylindrical horizons with zero curvature boundary. The asymptotic behaviours of these black holes behave as (A)dS. We study both linear and nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-02-06 G. G. L. Nashed , W. El Hanafy , Kazuharu Bamba