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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

We study stability of singularity-free cosmological solutions with positive cosmological constant based on projectable Ho\v{r}ava-Lifshitz (HL) theory. In HL theory, the isotropic and homogeneous cosmological solutions with bounce can be…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Yosuke Misonoh , Mitsuhiro Fukushima , Shoichiro Miyashita

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

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

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

General Relativity and Quantum Cosmology · Physics 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

Modified by a logarithmic term, the non-linear electrodynamics (NED) model of the Born-Infeld (BI) action is reconsidered. Unlike the standard BI action, this choice provides interesting integrals of the Einstein-NED equations. It is found…

General Relativity and Quantum Cosmology · Physics 2009-07-11 S. Habib Mazharimousavi , M. Halilsoy

Using a recently developed perturbation formalism based on curvature quantities, we complete our investigation of the linear stability of black holes and solitons with Yang-Mills hair and a negative cosmological constant. We show that those…

General Relativity and Quantum Cosmology · Physics 2009-11-07 E. Winstanley , O. Sarbach

Hellings-Nordtvedt theory is a vector-tensor theory in which a vector field $A_\mu$ is nonminimally coupled to curvature through two independent interactions $A^2{\cal R}$ and $A^\mu A^\nu{\cal R}_{\mu\nu}$. When supplemented by a potential…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Zhe Luo , Liang Liang , Zhong-Xi Yu , Hong-Da Lyu , Shoulong Li , Hongwei Yu

We obtain a magnetically charged regular black hole in general relativity. The source to the Einstein field equations is nonlinear electrodynamic field in a physically reasonable model of nonlinear electrodynamics (NED). "Physically" here…

General Relativity and Quantum Cosmology · Physics 2015-09-21 Meng-Sen Ma

The four laws of black hole mechanics have been put forward for a long time. However, the zeroth law, which states that the surface gravity of a stationary black hole is a constant on the event horizon, still lacks universal proof in…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Aofei Sang , Jie Jiang

We study the axial perturbations of spontaneously scalarized black holes in Einstein-Gauss-Bonnet (EGB) theories. We consider the nodeless solutions of the fundamental branch of the model studied in [1], which possesses a region of radially…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Sarah Kahlen , Jutta Kunz , Petya Nedkova , Stoytcho S. Yazadjiev

We study certain bi-scalar-tensor theories emanating from conformal symmetry requirements of Horndeski's four-dimensional action. The former scalar is a Galileon with shift symmetry whereas the latter scalar is adjusted to have a higher…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Christos Charmousis , Theodoros Kolyvaris , Eleftherios Papantonopoulos , Minas Tsoukalas

We review the Seiberg-Witten instability of topological black holes in Anti-de Sitter space due to nucleation of brane-anti-brane pairs. We start with black holes in general relativity, and then proceed to discuss the peculiar property of…

High Energy Physics - Theory · Physics 2013-04-15 Yen Chin Ong , Pisin Chen

We construct a new class of plane-symmetric solutions possessing a curvature singularity which is null and weak, like the spacetime singularity at the Cauchy horizon of spinning (or charged) black holes. We then analyse the stability of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Amos Ori

An asymptotically flat hairy black hole (HBH) can exhibit distinct characteristics when compared to the Schwarzschild black hole, due to the evasion of no-hair theorem by minimally coupling the Einstein gravity with a scalar potential which…

General Relativity and Quantum Cosmology · Physics 2025-03-26 Hongyu Chen , Wei Fan , Xiao Yan Chew

In this report the exact rotating charged black hole solution to the Einstein--nonlinear electrodynamics theory with a cosmological constant is presented. This black hole is equipped with mass, rotation parameter, electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Alberto A. García Díaz

We explore thermodynamic properties of a new class of Horndeski black holes whose action contains a non-minimal kinetic coupling of a massless real scalar and the Einstein tensor. Our treatment is based on the well-accepted consideration,…

High Energy Physics - Theory · Physics 2016-11-29 Yan-Gang Miao , Zhen-Ming Xu

Electrically charged solutions for gravity with a conformally coupled scalar field are found in four dimensions in the presence of a cosmological constant. If a quartic self-interaction term for the scalar field is considered, there is a…

High Energy Physics - Theory · Physics 2008-11-26 Cristian Martinez , Juan Pablo Staforelli , Ricardo Troncoso

In this work, we investigate the coupling of General Relativity with Nonlinear Electrodynamics (NED), governed by a general Lagrangian $\mathcal{L}(\mathcal{F})$, to address the axial singularity of four-dimensional black strings. Through a…

General Relativity and Quantum Cosmology · Physics 2026-04-16 G. Alencar , V. H. U. Borralho , T. M. Crispim , M. S. Cunha

Gravitational perturbations in the geometry of asymptotically flat black hole solution in the deformed Ho\v{r}ava-Lifshitz(HL) gravity are considered and the associated quasinormal mode(QNM) frequencies are evaluated using WKB method. Black…

General Relativity and Quantum Cosmology · Physics 2009-12-17 Nijo Varghese , V C Kuriakose