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The problem of the stability of magnetic fields in stars has a long history and has been investigated in detail in perturbation theory. Here we consider the nonlinear evolution of a non-rotating neutron star with a purely poloidal magnetic…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Riccardo Ciolfi , Samuel K. Lander , Gian Mario Manca , Luciano Rezzolla

In a model of spontaneous scalarization of neutron stars proposed by Damour and Esposite-Farese, a general relativistic branch becomes unstable to trigger tachyonic growth of a scalar field $\phi$ toward a scalarized branch. Applying this…

General Relativity and Quantum Cosmology · Physics 2023-02-13 Ratchaphat Nakarachinda , Sirachak Panpanich , Shinji Tsujikawa , Pitayuth Wongjun

In a subclass of generalized Proca theories where a cubic vector Galileon term breaks the $U(1)$ gauge invariance, it is known that there are static and spherically symmetric black hole (BH) solutions endowed with nonvanishing temporal and…

General Relativity and Quantum Cosmology · Physics 2024-09-25 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

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 show that the asymptotically flat hairy black holes, solutions of the Einstein field equations minimally coupled to a scalar field, previously discovered by one of us, present mode instability against linear radial perturbations. It is…

General Relativity and Quantum Cosmology · Physics 2013-09-12 Andres Anabalon , Nathalie Deruelle

In scalar-vector-tensor theories with $U(1)$ gauge invariance, it was recently shown that there exists a new type of hairy black hole (BH) solutions induced by a cubic-order scalar-vector interaction. In this paper, we derive conditions for…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

Certain scalar-tensor theories have the property of endowing stars with scalar hair, sourced either by the star's own compactness (spontaneous scalarization) or, for binary systems, by the companion's scalar hair (induced scalarization) or…

General Relativity and Quantum Cosmology · Physics 2015-01-07 Laura Sampson , Nicolas Yunes , Neil Cornish , Marcelo Ponce , Enrico Barausse , Antoine Klein , Carlos Palenzuela , Luis Lehner

Kerr black holes with synchronised hair [arXiv:1403.2757, arXiv:1603.02687] are a counter example to the no hair conjecture, in General Relativity minimally coupled to simple matter fields (with mass $\mu$) obeying all energy conditions.…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Juan Carlos Degollado , Carlos A. R. Herdeiro , Eugen Radu

We investigate the gravitational models with the non-minimal $Y(R)F^2$ coupled electromagnetic fields to gravity, in order to describe charged compact stars, where $Y(R) $ denotes a function of the Ricci curvature scalar $R$ and $F^2$…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Özcan Sert

We consider a gravitating spherically symmetric configuration consisting of a scalar field non-minimally coupled to ordinary matter in the form of a perfect fluid. For this system we find static, regular, asymptotically flat solutions for…

Solar and Stellar Astrophysics · Physics 2013-05-29 V. Dzhunushaliev , V. Folomeev , D. Singleton

We study a free scalar field $\phi$ in a fixed curved background spacetime subject to a higher derivative field equation of the form $F(\Box)\phi =0$, where $F$ is a polynomial of the form $F(\Box)= \prod_i (\Box-m_i^2)$ and all masses…

High Energy Physics - Theory · Physics 2019-11-20 G. W. Gibbons , C. N. Pope , Sergey Solodukhin

We investigate the stability of stars with a density discontinuity between a high-density core and a very low density mantle. Previous work on "strange dwarfs" suggested that such a discontinuity could stabilize stars that would have been…

High Energy Astrophysical Phenomena · Physics 2017-10-04 Mark G. Alford , Steven P. Harris , Pratik S. Sachdeva

A scalar-tensor theory of gravity is considered wherein the gravitational coupling $G$ and the speed of light $c$ are admitted as space-time functions and combine to form the definition of the scalar field $\phi$. The varying $c$…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Rodrigo R. Cuzinatto , Rajendra P. Gupta , Pedro J. Pompeia

In generalized Proca theories with vector-field derivative couplings, a bunch of hairy black hole solutions have been derived on a static and spherically symmetric background. In this paper, we formulate the odd-parity black hole…

General Relativity and Quantum Cosmology · Physics 2018-02-27 Ryotaro Kase , Masato Minamitsuji , Shinji Tsujikawa , Ying-li Zhang

In this paper, we study the viability and stability of anisotropic compact stars in the context of $f(\mathcal{Q})$ theory, where $\mathcal{Q}$ is non-metricity scalar. We use Finch-Skea solutions to investigate the physical properties of…

General Relativity and Quantum Cosmology · Physics 2024-01-18 Muhammad Zeeshan Gul , Shamaila Rani , Muhammad Adeel , Abdul Jawad

We reexamine the static and spherical symmetric compact star configuration in the $R^2$ model of the $F(R)$ gravity theory. With asymptotic solutions for the additional scalar degrees of freedom, we refine analysis on the external geometry…

General Relativity and Quantum Cosmology · Physics 2023-05-11 Kota Numajiri , Yong-Xiang Cui , Taishi Katsuragawa , Shin'ichi Nojiri

We study spherical collapse of a scalar cloud in scalar-Gauss-Bonnet gravity - a theory in which black holes can develop scalar hair if they are in a certain mass range. We show that an additional quadratic coupling of the scalar field to…

General Relativity and Quantum Cosmology · Physics 2023-06-05 Farid Thaalba , Miguel Bezares , Nicola Franchini , Thomas P. Sotiriou

Linear perturbation theory is appropriate to describe small oscillations of stars, while a mild non-linearity is still tractable perturbatively but requires to consider mode coupling. It is natural to start to look at this problem by…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Andrea Passamonti , Marco Bruni , Leonardo Gualtieri , Carlos F. Sopuerta

In the present paper we study the scalar sector of the quasinormal modes of charged general relativistic, static and spherically symmetric black holes coupled to nonlinear electrodynamics and embedded in a class of scalar-tensor theories.…

General Relativity and Quantum Cosmology · Physics 2011-02-15 Daniela D. Doneva , Stoytcho S. Yazadjiev , Kostas D. Kokkotas , Ivan Zh. Stefanov

We investigate whether a black hole(BH) surrounded by a dark matter (DM) halo has scalar hair/superradiant instability in the scalar tensor theory of gravity. In the scalar tensor theory, the coupling of matter and the scalar field creates…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Junya Tanaka