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We study the linear stability of black holes in Maxwell-Horndeski theories where a $U(1)$ gauge-invariant vector field is coupled to a scalar field with the Lagrangian of full Horndeski theories. The perturbations on a static and…

General Relativity and Quantum Cosmology · Physics 2023-05-25 Ryotaro Kase , Shinji Tsujikawa

We discuss the existence, stability and classical thermodynamics of four-dimensional, spherically symmetric black hole solutions of the Einstein equations with a conformally coupled scalar field. We review the solutions existing in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Elizabeth Winstanley

We extend an earlier investigation of the thermodynamics of static black holes in an Einstein-Horndeski theory of gravity coupled to a scalar field, by including now an elec- tromagnetic field as well. By studying the two-parameter families…

High Energy Physics - Theory · Physics 2016-02-17 Xing-Hui Feng , Hai-Shan Liu , H. Lü , C. N. Pope

In this paper, we study Einstein gravity either minimally or non-minimally coupled to a vector field which breaks the gauge symmetry explicitly in general dimensions. We first consider a minimal theory which is simply the Einstein-Proca…

High Energy Physics - Theory · Physics 2018-03-14 Zhong-Ying Fan

A four-dimensional static Schwarzschild-like solution obtained in [3]-[6] in the frames of the Einstein-Gauss-Bonnet gravity at the Kaluza-Klein split is analyzed. The matter in these solutions is created by auxiliary dimensions. The main…

General Relativity and Quantum Cosmology · Physics 2016-01-07 S. O. Alexeyev , B. N. Latosh , A. N. Petrov

Using a recently developed generalized Weyl formalism, we construct an asymptotically flat, static vacuum Einstein solution that describes a superposition of multiple five-dimensional Schwarzschild black holes. The spacetime exhibits a…

High Energy Physics - Theory · Physics 2009-11-10 H. S. Tan , Edward Teo

We investigate the classical stability of the higher-dimensional Schwarzschild black holes against linear perturbations, in the framework of a gauge-invariant formalism for gravitational perturbations of maximally symmetric black holes,…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Hideo Kodama

We derive a variety of exact black hole solutions in a subclass of Horndeski's scalar-tensor theory possessing shift symmetry, $\phi\to\phi+c$, and reflection symmetry, $\phi\to-\phi$. The theory admits two arbitrary functions of…

General Relativity and Quantum Cosmology · Physics 2014-07-09 Tsutomu Kobayashi , Norihiro Tanahashi

Equations of divergence type in static spacetimes play a significant role in the proof of uniqueness theorems of black holes. We generalize the divergence equation originally discovered by Robinson in four dimensional vacuum spacetimes into…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Masato Nozawa , Tetsuya Shiromizu , Keisuke Izumi , Sumio Yamada

We analyse in all generality beyond Horndeski theories of shift symmetry in a static and spherically symmetric spacetime. By introducing four auxiliary functions, we write the field equations in a particularly compact form. We show that…

General Relativity and Quantum Cosmology · Physics 2022-08-11 Athanasios Bakopoulos , Christos Charmousis , Panagiota Kanti , Nicolas Lecoeur

We consider the Hamiltonian dynamics and thermodynamics of spherically symmetric spacetimes within a one-parameter family of five-dimensional Lovelock theories. We adopt boundary conditions that make every classical solution part of a black…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jorma Louko , Jonathan Z. Simon , Stephen N. Winters-Hilt

In recent years, black hole (BH) solutions with an integrable singularity have garnered significant attention as alternatives to regular black holes (RBH). In these models, similarly to RBHs, an object would not undergo spaghettification…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Milko Estrada

In the context of $f(R)$ theories of gravity, we address the problem of finding static and spherically symmetric black hole solutions. Several aspects of constant curvature solutions with and without electric charge are discussed. We also…

General Relativity and Quantum Cosmology · Physics 2010-01-15 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

We construct four-dimensional gravity theories that resolve the Schwarzschild singularity and enable dynamical studies of nonsingular gravitational collapse. The construction employs a class of nonpolynomial curvature invariants that…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

In previous work, we analyzed the linear and nonlinear stability of static, spherically symmetric wormhole solutions to Einstein's field equations coupled to a massless ghost scalar field. Our analysis revealed that all these solutions are…

General Relativity and Quantum Cosmology · Physics 2010-03-25 J. A. Gonzalez , F. S. Guzman , O. Sarbach

In this chapter we consider perturbations and stability of higher dimensional black holes focusing on the static background case. We first review a gauge-invariant formalism for linear perturbations in a fairly generic class of…

High Energy Physics - Theory · Physics 2015-05-27 Akihiro Ishibashi , Hideo Kodama

We construct a large class of explicit, asymptotically flat and regular wormhole solutions in higher order scalar tensor theories. The solutions are vacuum solutions of scalar tensor theory and no matter (exotic or regular) is introduced in…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Athanasios Bakopoulos , Christos Charmousis , Panagiota Kanti

We present a class of new black hole solutions in $D$-dimensional Lovelock gravity theory. The solutions have a form of direct product $\mathcal{M}^m \times \mathcal{H}^{n}$, where $D=m+n$, $\mathcal{H}^n$ is a negative constant curvature…

High Energy Physics - Theory · Physics 2010-04-06 Rong-Gen Cai , Li-Ming Cao , Nobuyoshi Ohta

Higher-order theories of gravity have received much attention from several areas including quantum gravity, string theory and cosmology. This paper proposes a higher-order gravity whose action includes all curvature scalar terms up to the…

General Relativity and Quantum Cosmology · Physics 2020-08-04 G. Rodrigues-da-Silva , L. G. Medeiros

We present dyonic BPS static black hole solutions for general d=4, N=2 supergravity theories coupled to vector and hypermultiplets. These solutions are generalisations of the spherically symmetric Majumdar-Papapetrou black hole solutions of…

High Energy Physics - Theory · Physics 2009-10-30 W. A. Sabra