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We study exact, analytic, static, spherically symmetric, four-dimensional solutions of minimally coupled Einstein-scalar gravity, sourced by a scalar field whose profile has the form of the sine-Gordon soliton. We present a horizonless,…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Edgardo Franzin , Mariano Cadoni , Matteo Tuveri

We study the stability of static black holes in Lovelock theory which is a natural higher dimensional generalization of Einstein theory. We show that Lovelock black holes are stable under vector perturbations in all dimensions. However, we…

General Relativity and Quantum Cosmology · Physics 2011-02-03 Tomohiro Takahashi , Jiro Soda

Kaluza-Klein theory is a 5-dimensional Einstein general relativity; it has the interest of describing on an equal footing the laws of gravitation and electromagnetism in a geometrically unified way. We present it in Chapter 1, and we…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Mustapha Azreg-Ainou

We construct smooth static bubble solutions, denoted as topological stars, in five-dimensional Einstein-Maxwell theories which are asymptotic to $\mathbb{R}^{1,3}\times$S$^1$. The bubbles are supported by allowing electromagnetic fluxes to…

High Energy Physics - Theory · Physics 2021-10-13 Ibrahima Bah , Pierre Heidmann

The stability of a class of electrically charged fluid spheres under radial perturbations is studied. Among these spheres there are regular stars, overcharged tension stars, regular black holes, quasiblack holes, and quasinonblack holes,…

General Relativity and Quantum Cosmology · Physics 2023-03-31 Angel D. D. Masa , José P. S. Lemos , Vilson T. Zanchin

We study the stability of static black holes in Lovelock theory which is a natural higher dimensional generalization of Einstein theory. We derive a master equation for tensor perturbations in general Lovelock theory. It turns out that the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Tomohiro Takahashi , Jiro Soda

Rotating hairy black holes (RHBHs) are axisymmetric equilibrium solutions of the Einstein--Klein--Gordon equations, consisting of a spinning black hole surrounded by a toroidal distribution of complex scalar field. Despite their potential…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Juan A. Carretero , Philippe Grandclément , Carlos Palenzuela , Marcelo Salgado

Within general relativity, black holes are widely regarded as the ultimate benchmark for compactness in the Universe. Recently, however, neutron star models have been constructed in a higher-curvature theory -- quasi-topological gravity…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Liang Liang , Zhe Luo , Shoulong Li , Hongwei Yu

We investigate the stability of a new warped black string with nontrivial topologies in five-dimensional Anti-de Sitter spacetime. After studying the linear gravitational perturbation, we find that this black string is unstable when the…

High Energy Physics - Theory · Physics 2015-03-14 Shaoyu Yin , Bin Wang , Robert Mann , Chong Oh Lee , Chi-Yong Lin , Ru-Keng Su

We study the stability of static black holes in the third order Lovelock theory. We derive a master equation for tensor perturbations. Using the master equation, we analyze the stability of Lovelock black holes mainly in seven and eight…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Tomohiro Takahashi , Jiro Soda

As shown by Marunovic and Murkovic, non-minimal d-stars, composite structures consisting of a boson star and a global monopole non-minimally coupled to the general relativistic field, can have extremely high gravitational compactness. In a…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Gray D. Reid , Matthew W. Choptuik

In this paper, we study existence and stability of static black holes in Lovelock theories with a particular focus on pure Lovelock black holes. We derive the equation of stability from action without using S-deformation approach. It turns…

General Relativity and Quantum Cosmology · Physics 2014-08-08 Radouane Gannouji , Naresh Dadhich

The stability of three static and spherically symmetric black hole solutions with nonlinear electromagnetism as a source is investigated in three different ways. We show that the specific heat of all the solutions displays an infinite…

General Relativity and Quantum Cosmology · Physics 2014-02-13 Nora Bretón , Santiago Esteban Perez Bergliaffa

The aim of this paper is to study the stability of soliton-like static solutions via non-linear simulations in the context of a special class of massive tensor-multi-scalar-theories of gravity whose target space metric admits Killing…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Riccardo Falcone , Daniela D. Doneva , Kostas D. Kokkotas , Stoytcho S. Yazadjiev

We investigate the linear stability of topological black hole solutions to four-dimensional SU(N) Einstein-Yang-Mills theory with a negative cosmological constant. We here extend recent results in the field which prove the existence of…

General Relativity and Quantum Cosmology · Physics 2015-07-14 J. Erik Baxter

We study linear massive scalar charged perturbations of Topological Stars in the fuzzball and in the black hole (Black String) regimes. The objects that naturally couple to the electric 3-form field strength of these solutions are charged…

High Energy Physics - Theory · Physics 2024-05-21 Andrea Cipriani , Carlo Di Benedetto , Giorgio Di Russo , Alfredo Grillo , Giuseppe Sudano

We investigate the family of electrostatic spherically symmetric solutions of the five-dimensional Kaluza-Klein theory. Both charged and neutral cases are considered. The analysis of the solutions, through their geometrical properties,…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. Azreg-Ainou , G. Clement , C. P. Constantinidis , J. C. Fabris

Regular and spherically symmetric black holes that solve the singularity problems of the Schwarzschild solution are phenomenologically viable at large distance but usually suffer from the Cauchy horizon instability. To overcome this…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Marco Calzá , Massimiliano Rinaldi , Sergio Zerbini

We prove the following theorem: axisymmetric, stationary solutions of the Einstein field equations formed from classical gravitational collapse of matter obeying the null energy condition, that are everywhere smooth and ultracompact (i.e.,…

General Relativity and Quantum Cosmology · Physics 2017-12-21 Pedro V. P. Cunha , Emanuele Berti , Carlos A. R. Herdeiro

We construct a three-parameter family of smooth and horizonless rotating solutions of Einstein-Maxwell theory with Chern-Simons term in five dimensions and discuss their stringy origin in terms of three-charge brane systems in Type IIB and…

High Energy Physics - Theory · Physics 2025-07-24 Massimo Bianchi , Giuseppe Dibitetto , Jose F. Morales , Alejandro Ruipérez