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We consider the status of black hole solutions with non-trivial scalar fields but no gauge fields, in four dimensional asymptotically flat space-times, reviewing both classical results and recent developments. We start by providing a simple…

General Relativity and Quantum Cosmology · Physics 2018-12-20 Carlos A. R. Herdeiro , Eugen Radu

We explore charged black hole solutions in Einstein-Gauss-Bonnet gravity in five dimensions, with a charged scalar hair. We interpret such hairy black holes as the final state of the superradiant instability previously reported for this…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Nicolas Grandi , Ignacio Salazar Landea

We construct a family of asymptotically flat, rotating black holes with scalar hair and a regular horizon, within five dimensional Einstein's gravity minimally coupled to a complex, massive scalar field doublet. These solutions are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Yves Brihaye , Carlos Herdeiro , Eugen Radu

We study the perturbative behaviour of topological black holes in the presence of a cosmological constant and a scalar field coupled to the Gauss-Bonnet term. We calculate both analytically and numerically the quasi-normal modes of scalar…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Stella Kiorpelidi , George Koutsoumbas , Andri Machattou , Eleftherios Papantonopoulos

In full Horndeski theories, we show that the static and spherically symmetric black hole (BH) solutions with a static scalar field~$\phi$ whose kinetic term~$X$ is nonvanishing on the BH horizon are generically prone to ghost/Laplacian…

General Relativity and Quantum Cosmology · Physics 2022-08-03 Masato Minamitsuji , Kazufumi Takahashi , Shinji Tsujikawa

The regularity of black hole solutions, embedded in an expanding Universe, is studied in a subclass of Horndeski theories, namely the sum of the simplest quadratic, cubic and quintic actions. We find that in presence of a time derivative of…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Eugeny Babichev , Gilles Esposito-Farèse , Ignacy Sawicki , Leonardo G. Trombetta

This article is intended to review the recent developments in the Horndeski theory and its generalization, which provide us with a systematic understanding of scalar-tensor theories of gravity as well as a powerful tool to explore…

General Relativity and Quantum Cosmology · Physics 2019-07-22 Tsutomu Kobayashi

Recent times witnessed a surge of interest in strong gravitational lensing by black holes due to the Event Horizon Telescope (EHT) results, which suggest comparing the black hole lensing in general relativity and modified gravity theories.…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Shafqat Ul Islam , Sushant G. Ghosh

Previous studies showed that, in the presence of a simple and well-motivated self-interaction scalar potential, asymptotically flat and spherical black holes can carry minimally coupled and charged scalar cloud/hair in Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Shao-Jun Zhang

For gauged scalar fields minimally coupled to Einstein-Maxwell theory, the Mayo-Bekenstein no-hair theorem can be circumvented when including appropriate scalar self-interactions, allowing static, electrically charged black holes to be…

High Energy Physics - Theory · Physics 2024-06-18 Carlos Herdeiro , Eugen Radu , Yakov Shnir

We study linear perturbations about non rotating black hole solutions in scalar-tensor theories, more specifically Horndeski theories. We consider two particular theories that admit known hairy black hole solutions. The first one,…

General Relativity and Quantum Cosmology · Physics 2022-11-03 David Langlois , Karim Noui , Hugo Roussille

We consider a general Einstein-scalar-GB theory with a coupling function f(\phi). We demonstrate that black-hole solutions appear as a generic feature of this theory since a regular horizon and an asymptotically-flat solution may be easily…

High Energy Physics - Theory · Physics 2018-04-04 G. Antoniou , A. Bakopoulos , P. Kanti

In the broad subclass of Horndeski theories with a luminal speed of gravitational waves, we derive gravitational waveforms emitted from a compact binary by considering the wave propagation on a spatially flat cosmological background. A…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-21 Miguel Quartin , Shinji Tsujikawa , Luca Amendola , Riccardo Sturani

Born-Infeld black holes in the Scalar-Tensor Theories of Gravity, in the case of massless scalar field, have been recently obtained. The aim of the current paper is to study the effect from the inclusion of a potential for the scalar field…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Ivan Zh. Stefanov , Daniela A. Georgieva , Stoytcho S. Yazadjiev , Michail D. Todorov

In this work, we apply tunneling formalism to analyze charged particles tunneling across a hairy black hole horizon. Such black hole solutions are essential for frameworks based on Horndeski's gravity theory. Applying a semi-classical…

General Relativity and Quantum Cosmology · Physics 2025-04-29 Riasat Ali , Xia Tiecheng , Rimsha Babar

We present spherically symmetric black hole solutions for Einstein gravity coupled to anisotropic matter. We show that these black holes have arbitrarily short hair, and argue for stability by showing that they can arise from dynamical…

General Relativity and Quantum Cosmology · Physics 2009-10-30 David Brown , Viqar Husain

I discuss a recent analytic proof of bypassing the no-hair conjecture for two interesting (and quite generic) cases of four-dimensional black holes: (i) black holes in Einstein-Yang-Mills-Higgs (EYMH) systems and (ii) black holes in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. E. Mavromatos

Black hole spontaneous scalarization has been attracting more and more attention as it circumvents the well-known no-hair theorems. In this work, we study the scalarization in Einstein-scalar-Gauss-Bonnet theory with a probe scalar field in…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Hong Guo , Xiao-Mei Kuang , Eleftherios Papantonopoulos , Bin Wang

We prove under certain weak assumptions a black hole no-hair theorem in spherically symmetric spacetimes for self-gravitating time-dependent multiple scalar fields with an arbitrary target space admitting a Killing field with a non-empty…

General Relativity and Quantum Cosmology · Physics 2024-01-25 Stoytcho Yazadjiev , Daniela Doneva

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