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We provide a remarkably compact proof that spherically symmetric neutral black holes cannot support static nonminimally coupled massless scalar fields. The theorem is based on causality restrictions imposed on the energy-momentum tensor of…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Shahar Hod

We do a systematic study of the phases of gravity coupled to an electromagnetic field and charged scalar in flat space, with box boundary conditions. The scalar-less box has previously been investigated by Braden, Brown, Whiting and York…

High Energy Physics - Theory · Physics 2019-06-04 Pallab Basu , Chethan Krishnan , P. N. Bala Subramanian

We study static non-critical hairy black holes of four dimensional gravitational model with nonminimal derivative coupling and a scalar potential turned on. By taking an ansatz, namely, the first derivative of the scalar field is…

High Energy Physics - Theory · Physics 2018-05-28 Bobby Eka Gunara , Ainol Yaqin

No-hair theorems for scalar-tensor theories imply that the trivial scalar field configuration is the unique configuration around stationary black hole spacetimes. The most basic assumption in these theorems is that a constant scalar…

General Relativity and Quantum Cosmology · Physics 2019-06-12 Mehdi Saravani , Thomas P. Sotiriou

The properties of static, spherically symmetric configurations are considered in the framework of two models of nonlocally corrected gravity, suggested in S. Deser and R. Woodard., Phys. Rev. Lett. 663, 111301 (2007), and S. Capozziello et…

High Energy Physics - Theory · Physics 2010-04-06 K. A. Bronnikov , E. Elizalde

Einstein gravity supplemented by a scalar field non-minimally coupled to a Gauss-Bonnet term provides an example of model of scalar-tensor gravity where hairy black holes do exist. We consider the classical equations within a metric endowed…

General Relativity and Quantum Cosmology · Physics 2018-11-21 A. Brandelet , Y. Brihaye , T. Delsate , L. Ducobu

Stationary, asymptotically flat black holes in scalar-tensor theories of gravity are studied. It is shown that such black holes have no scalar hair and are the same as in General Relativity.

General Relativity and Quantum Cosmology · Physics 2013-03-05 Valerio Faraoni , Thomas P. Sotiriou

We investigate, in the framework of a recently introduced new class of invariant geometrical scalar-tensor theory of gravity, the possibility that a viscous dark fluid can be described in a unified manner by a single scalar field. Thus we…

General Relativity and Quantum Cosmology · Physics 2020-09-03 José Edgar Madriz Aguilar , A. Gil-Ocaranza , M. Montes , J. Zamarripa

We revisit static, spherically symmetric solutions to AdS-Einstein gravity with a conformally coupled scalar field (and no self-interaction potential) in four dimensions. We first observe that a convenient choice of coordinates leads to a…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Marcello Ortaggio

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

Self-gravitating scalar fields with nonminimal coupling to gravity and having a quartic self-interaction are considered in the domain of outer communications of a static black hole. It is shown that there is no value of the nonminimal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Eloy Ayón-Beato

It has been shown that the synergy of a scalar field coupling with both the Ricci scalar and the Gauss-Bonnet invariant significantly affects the properties of scalarized black holes and neutron stars, including their domain of existence…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Georgios Antoniou , Caio F. B. Macedo , Ryan McManus , Thomas P. Sotiriou

We study condensation behaviors of static scalar fields in the regular asymptotically AdS reflecting star spacetime. With analytical methods, we provide upper bounds for the radii of the scalar hairy reflecting stars. Above the bound, there…

General Relativity and Quantum Cosmology · Physics 2018-08-02 Yan Peng

It has been previously shown that a Gauss-Bonnet term non-minimally coupled to a scalar field produces a scalarised black hole solution, which can be considered as having secondary scalar hair, parametrised in terms of the black hole's mass…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Callum L Hunter , Douglas J Smith

Most no-hair theorems involve the assumption that the scalar field is independent of time. Recently in [Phys. Rev. D90 (2014) 041501(R)] the existence of time-dependent scalar hair outside a stationary black hole in general relativity was…

General Relativity and Quantum Cosmology · Physics 2016-08-29 Yi Zhong , Bao-Min Gu , Shao-Wen Wei , Yu-Xiao Liu

As it became well known in the past years, Einstein-scalar-Gauss-Bonnet (EsGB) theories evade no-hair theorems and allow for scalarized compact objects including black holes (BH). The coupling function that defines the theory is the main…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Daniela D. Doneva , Lucas G. Collodel , Stoytcho S. Yazadjiev

Recently new scalarized black hole solutions were constructed in the extended scalar-tensor-Gauss-Bonnet gravity, where the scalar field is sourced by the curvature of the spacetime via the Gauss-Bonnet invariant. A natural extension of…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Daniela D. Doneva , Stella Kiorpelidi , Petya G. Nedkova , Eleftherios Papantonopoulos , Stoytcho S. Yazadjiev

We study 4-dimensional charged and static black holes in a generalized scalar-tensor gravity model, in which a shift symmetry for the scalar field exists. For vanishing scalar field the solution corresponds to the Reissner-Nordstr\"om (RN)…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Yves Brihaye , Betti Hartmann

A numerical analysis shows that a class of scalar-tensor theories of gravity with a scalar field minimally and nonminimally coupled to the curvature allows static and spherically symmetric black hole solutions with scalar-field hair in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ulises Nucamendi , Marcelo Salgado

We present spontaneous scalarization of charged black holes (BHs) which is induced by the coupling of the scalar field to the electromagnetic field strength and the double-dual Riemann tensor $L^{\mu\nu\alpha\beta}F_{\mu\nu}F_{\alpha\beta}$…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Taishi Ikeda , Tomohiro Nakamura , Masato Minamitsuji