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Horizon-scale images of black holes provide a potential probe of fundamental physics, including tests of gravity and black hole hair. To assess the impact of scalar hair on accretion-flow imaging self-consistently, we construct an…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Qian Wan , Yehui Hou , Minyong Guo

The most general action for a scalar field coupled to gravity that leads to second order field equations for both the metric and the scalar --- Horndeski's theory --- is considered, with the extra assumption that the scalar satisfies shift…

General Relativity and Quantum Cosmology · Physics 2014-08-13 Thomas P. Sotiriou , Shuang-Yong Zhou

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

Shift-symmetric Horndeski theories admit an interesting class of Schwarzschild black hole solutions exhibiting time-dependent scalar hair. By making use of Lema\^{i}tre coordinates, we analyze perturbations around these types of black…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-09 Justin Khoury , Mark Trodden , Sam S. C. Wong

We study the gravitational lensing effects of a static, asymptotically flat black hole with primary scalar hair in Beyond Horndeski gravity, focusing on the strong lensing regime. Recently, in Ref. [1], we placed constraints on the scalar…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Mohsen Fathi

The Event Horizon Telescope (EHT) image of M87* provides a direct test of strong-field gravity, measuring an angular shadow diameter $\theta_{d}=42\pm 3~\mu\mathrm{as}$ and a circularity deviation $\Delta C\leq 0.1$. Such observations allow…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Kourosh Nozari , Milad Hajebrahimi , Sara Saghafi , G. Mustafa , Emmanuel N. Saridakis

In this paper, we find that unlike in General Relativity, the shift-symmetric subclass of Beyond Horndeski theories permits black holes with primary hair that are thermodynamically stable and align with current Event Horizon Telescope…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Cristian Erices , Mohsen Fathi

Recently it was pointed out that in shift-symmetric scalar-tensor theories a black hole can have nontrivial scalar hair which depends linearly on time. We develop black hole perturbation theory for such solutions and compute the quadratic…

General Relativity and Quantum Cosmology · Physics 2016-09-13 Hiromu Ogawa , Tsutomu Kobayashi , Teruaki Suyama

In a recent Letter we have shown that in shift-symmetric Horndeski theory the scalar field is forced to obtain a nontrivial configuration in black hole spacetimes, unless a linear coupling with the Gauss-Bonnet invariant is tuned away. As a…

General Relativity and Quantum Cosmology · Physics 2016-02-12 Thomas P. Sotiriou , Shuang-Yong Zhou

We investigate the prospect of using black hole spectroscopy to constrain the parameters of Horndeski gravity through observations of gravitational waves from perturbed black holes. We study the gravitational waves emitted during ringdown…

General Relativity and Quantum Cosmology · Physics 2019-06-18 Oliver J. Tattersall , Pedro G. Ferreira

We present explicit black holes endowed with primary scalar hair within the shift-symmetric subclass of Beyond Horndeski theories. These solutions depend, in addition to the conventional mass parameter, on a second free parameter encoding…

General Relativity and Quantum Cosmology · Physics 2024-02-02 Athanasios Bakopoulos , Christos Charmousis , Panagiota Kanti , Nicolas Lecoeur , Theodoros Nakas

In obtaining exact solutions in gravitational theories containing arbitrary model functions, such as Horndeski gravity, one usually starts by prescribing the model functions of the theory and then goes on to solving their corresponding…

General Relativity and Quantum Cosmology · Physics 2019-07-02 Reginald Christian Bernardo , Ian Vega

We develop a new technique for finding black hole solutions in modified gravity that have "stealth" hair, i.e., hair whose only gravitational effect is to tune the cosmological constant. We consider scalar-tensor theories in which…

High Energy Physics - Theory · Physics 2019-10-16 Christos Charmousis , Marco Crisostomi , Ruth Gregory , Nikolaos Stergioulas

We investigate geodesic motion and gravitational-wave signatures of charged black holes with scalar hair. Using the effective potential approach, we analyze marginally bound orbits and innermost stable circular orbits, showing how their…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Weike Deng , Sheng Long , Qin Tan , Jiliang Jing

The odd parity gravitational Quasi-Normal Mode spectrum of black holes with non-trivial scalar hair in Horndeski gravity is investigated. We study `almost' Schwarzschild black holes such that any modifications to the spacetime geometry…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Oliver J. Tattersall

In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

The vector-tensor Horndeski theory is supplemented by a real, massless scalar field non-minimally coupled to the Horndeski interaction term. The generic dyonic Reissner-Nordstrom solutions characterized by electric and magnetic charges,…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Y. Brihaye , Y. Verbin

We study the motion of test particles and the propagation of light around neutral hairy black holes under the influence of a self-interacting real scalar field minimally coupled to gravity. The goal of the present work is to show that the…

High Energy Physics - Theory · Physics 2022-10-18 Weyner Ccuiro , David Choque , Gustavo Valdivia-Mera

The last years have brought upon us a golden age of observational gravitational physics. The several observations by the LIGO/Virgo/KAGRA collaboration about gravitational waves and by the EHT collaboration about the shadow and lensing of…

General Relativity and Quantum Cosmology · Physics 2022-04-07 Jorge F. M. Delgado

We study the perturbations to General Relativistic black holes (i.e. those without scalar hair) in Horndeski scalar-tensor gravity. First, we derive the equations of odd and even parity perturbations of both the metric and scalar field in…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Oliver J. Tattersall , Pedro G. Ferreira
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