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We study the stability of static black holes in generalized Einstein-Maxwell-scalar theories. We derive the master equations for the odd and even parity perturbations. The sufficient and necessary conditions for the stability of black holes…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Radouane Gannouji , Yolbeiker Rodríguez Baez

We review recent results on the existence of static black holes without spatial isometries in four spacetime dimensions and propose a general framework for their study. These configurations are regular on and outside a horizon of spherical…

General Relativity and Quantum Cosmology · Physics 2020-06-08 Carlos Herdeiro , Eugen Radu

Gauged boson stars are exotic compact objects that can potentially mimic black holes or magnetized neutron stars in both their gravitational and electromagnetic signatures, offering a compelling new description or even an alternative…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Víctor Jaramillo , Darío Núñez , Milton Ruiz , Miguel Zilhão

We have numerically calculated topological andnon-topological solitons in two spatial dimensions with Chern-Simons term. Their quantum stability, as well as that of the Maxwell vortex, is analyzed by means of bounce instantons which involve…

High Energy Physics - Theory · Physics 2009-10-22 R. Fiore , D. Galeazzi , L. Masperi , A. Megevand

Using mixed numerical and analytical methods we give evidence that the 6+1 dimensional Taub-NUT soliton is asymptotically nonlinearly stable against small perturbations preserving biaxial Bianchi IX symmetry. We also show that for…

General Relativity and Quantum Cosmology · Physics 2010-09-01 Marek Lipert

We study linear and nonlinear stability of asymptotically AdS$_4$ solutions in Einstein-Maxwell-scalar theory. After summarizing the set of static solutions we first examine thermodynamical stability in the grand canonical ensemble and the…

High Energy Physics - Theory · Physics 2017-05-24 Raúl Arias , Javier Mas , Alexandre Serantes

It is shown that Milne models (a subclass of FLRW spacetimes with negative spatial curvature) are nonlinearly stable in the set of solutions to the Einstein-Vlasov-Maxwell system, describing universes with ensembles of collisionless…

Mathematical Physics · Physics 2023-01-16 Hamed Barzegar , David Fajman

The Schwarzschild star is an ultracompact object beyond the Buchdahl limit, which has Schwarzschild geometry outside its surface and positive pressure in the external layer which vanishes at the surface. Recently it has been shown that the…

General Relativity and Quantum Cosmology · Physics 2019-08-14 R. A. Konoplya , C. Posada , Z. Stuchlík , A. Zhidenko

We analyze the stability of relativistic, quasi-equilibrium binary neutron stars in synchronous circular orbit. We explore stability against radial collapse to black holes prior to merger, and against orbital plunge. We apply theorems based…

General Relativity and Quantum Cosmology · Physics 2009-10-30 T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

We present the first examples of formally asymptotically flat black hole solutions with horizons of general lens space topology $L(p,q)$. These 5-dimensional static/stationary spacetimes are regular on and outside the event horizon for any…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Marcus A. Khuri , Jordan F. Rainone

In a recent publication, we have demonstrated that differentially rotating stars admit new channels of black hole formation via fragmentation instabilities. Since a higher order instability of this kind could potentially transform a…

In this paper, we prove the codimension-one nonlinear asymptotic stability of the extremal Reissner-Nordstr\"om family of black holes in the spherically symmetric Einstein-Maxwell-neutral scalar field model, up to and including the event…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Yannis Angelopoulos , Christoph Kehle , Ryan Unger

We explicitly construct static black hole solutions to the fully non-linear, D=4, Einstein-Maxwell-AdS equations that have no continuous spatial symmetries. These black holes have a smooth, topologically spherical horizon (section), but…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Carlos A. R. Herdeiro , Eugen Radu

Recently, ultracompact objects have been found to be susceptible to a new nonlinear instability, known as the light-ring instability, triggered by stable light rings. This discovery raises concerns about the viability of these objects as…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Guangzhou Guo , Peng Wang , Yupeng Zhang

We investigate the topological black holes in a special class of Lovelock gravity. In the odd dimensions, the action is the Chern-Simons form for the anti-de Sitter group. In the even dimensions, it is the Euler density constructed with the…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Rong-Gen Cai , Kwang-Sup Soh

Light rings (LRs) - closed circular orbits of null geodesics - are key features of both black holes and horizonless ultracompact objects. While unstable LRs are relevant for the observation of black hole images, stable LRs have been…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Pedro V. P. Cunha

We consider extended cosmological gravities with Ricci tensor and scalar squared terms in diverse dimensions. These theories admit solutions of Einstein metrics, including the Schwarzschild-Tangherlini AdS black holes, whose mass and…

High Energy Physics - Theory · Physics 2015-05-27 Haishan Liu , H. Lu , Mingxing Luo

We report about stability conditions for static, spherically symmetric objects that share the essential features of mass varying neutrinos in cosmological scenarios. Compact structures of particles with variable mass are held together…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-03 Alex E. Bernardini

We study the stability of rotating scalar boson stars, comparing those made from a simple massive complex scalar (referred to as mini boson stars), to those with several different types of nonlinear interactions. To that end, we numerically…

General Relativity and Quantum Cosmology · Physics 2021-02-16 Nils Siemonsen , William E. East

Based on perturbation theory, we present the exact first-order solution to the Einstein equations for the exterior static gravitational field of an isolated non-rotating star in a spatially finite universe having the topology of a flat…

General Relativity and Quantum Cosmology · Physics 2016-08-11 Frank Steiner