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Dynamical black holes in the non-perturbative regime are not mathematically well understood. Studying approximate symmetries of spacetimes describing dynamical black holes gives an insight into their structure. Utilising the property that…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Robert Sansom , Juan A. Valiente Kroon

We investigate the stability analysis of Schwarzschild black hole in Einstein-scalar-Gauss-Bonnet (ESGB) theory because the instability of Schwarzschild black hole without scalar hair implies the Gauss-Bonnet black hole with scalar hair.…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Yun Soo Myung , De-Cheng Zou

We study the stability of standing shock waves in advection-dominated accretion flows into a Schwarzschild black hole by 2D general relativistic hydrodynamic simulations as well as linear analysis in the equatorial plane. We demonstrate…

Astrophysics · Physics 2009-11-13 Hiroki Nagakura , Shoichi Yamada

Using perturbative techniques, we investigate the existence and properties of a new static solution for the Einstein equation with a negative cosmological constant, which we call the deformed black hole. We derive a solution for a static…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hirotaka Yoshino , Tohru Ohba , Akira Tomimatsu

In this paper, we consider higher order correction of the entropy and study the thermodynamical properties of recently proposed Schwarzschild-Beltrami-de Sitter black hole, which is indeed an exact solution of Einstein equation with a…

General Physics · Physics 2020-06-19 Behnam Pourhassan , Hoda Farahani , Sudhaker Upadhyay

Scalar-tensor theories of gravity where a new scalar degree of freedom couples to the Gauss-Bonnet invariant can exhibit the phenomenon of spontaneous black hole scalarization. These theories admit both the classic black holes predicted by…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Hector O. Silva , Caio F. B. Macedo , Thomas P. Sotiriou , Leonardo Gualtieri , Jeremy Sakstein , Emanuele Berti

We examine the stability of charged Lovelock black hole solutions under vector type and scalar type perturbations. We find the suitable master variables for the stability analysis; the equations for these variables are the Schrodinger type…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Tomohiro Takahashi

We show that any static linear perturbations around Schwarzschild black holes enjoy a set of conserved charges which forms a centrally extended Schr\"{o}dinger algebra sh(1) = sl$(2,\mathbb{R}) \ltimes \mathcal{H}$. The central charge is…

General Relativity and Quantum Cosmology · Physics 2022-07-18 Jibril Ben Achour , Etera R. Livine , Shinji Mukohyama , Jean-Philippe Uzan

Using the Schwarzschild metric as a rudimentary toy model, we pedagogically revisit the curious prediction that the mass of a classical black hole in a constant temperature thermal bath diverges in a finite amount of time. We study in…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Aurélien Barrau , Killian Martineau , Cyril Renevey

In this paper we construct a class of hairy static black holes of higher dimensional Einstein-Skyrme theories with the cosmological constant $\Lambda \le 0$ whose scalar is an $SU(2)$ valued field. The spacetime is set to be conformal to $…

High Energy Physics - Theory · Physics 2022-02-21 Bobby E. Gunara , Fiki T. Akbar , Rizqi Fadli , Deden M. Akbar , Hadi Susanto

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

Scalar-tensor theories are a natural alternative to general relativity, as they may provide an effective dark energy phenomenology on cosmological scales while passing local tests, but their black hole solutions are still poorly understood.…

General Relativity and Quantum Cosmology · Physics 2023-10-11 Lodovico Capuano , Luca Santoni , Enrico Barausse

We investigate axial gravitational perturbations and quasinormal modes of regular black holes supported by an Einasto distribution of matter. Halo matter not only removes the central singularity but also modifies the quasinormal spectrum.…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Sardor Murodov , Mardon Abdullaev , Munisbek Akhmedov

Black holes with resonant hair are static, spherical, electrically charged solutions of the Einstein-Maxwell-(gauged-)scalar system. Scalar self-interactions are mandatory for their existence. Initial dynamical studies restricted to…

General Relativity and Quantum Cosmology · Physics 2026-04-27 José Ferreira , Carlos A. R. Herdeiro , Eugen Radu , Miguel Zilhão

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 examine the linear stability of static, spherically symmetric wormhole solutions of Einstein's field equations coupled to a massless ghost scalar field. These solutions are parametrized by the areal radius of their throat and the product…

General Relativity and Quantum Cosmology · Physics 2008-12-25 J. A. Gonzalez , F. S. Guzman , O. Sarbach

We show a stability result for the Schwarzschild singularity (inside the black hole region) for the Einstein vacuum equations. The result is proven in the class of polarized axial symmetry, under perturbations of the Schwarzschild data…

Analysis of PDEs · Mathematics 2020-05-07 Spyros Alexakis , Grigorios Fournodavlos

We analyze the stability of generic spherically symmetric thin shells to linearized perturbations around static solutions. We include the momentum flux term in the conservation identity, deduced from the ''ADM'' constraint and the Lanczos…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Francisco S. N. Lobo , Paulo Crawford

In this work we investigate the presence of integrable hidden structures in the dynamics of perturbed non-rotating black holes (BHs). This can also be considered as a first step in a wider program of an effective identification of ``slow''…

General Relativity and Quantum Cosmology · Physics 2024-12-06 José Luis Jaramillo , Michele Lenzi , Carlos F. Sopuerta

With the advent of gravitational wave astronomy and first pictures of the "shadow" of the central black hole of our milky way, theoretical analyses of black holes (and compact objects mimicking them sufficiently closely) have become more…

General Relativity and Quantum Cosmology · Physics 2021-05-21 Christian Pfeifer , Sebastian Schuster