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Conditions for thermodynamic stability of asymptotically anti-de Sitter rotating black holes in D-dimensions are determined. Local thermodynamic stability requires not only positivity conditions on the specific heat and the moment of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Brian P. Dolan

By using the Taylor series method and the solution-generating method, we construct exact black hole solutions with minimally coupled scalar field. We find that the black hole solutions can have many hairs except for the physical mass. These…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Changjun Gao , Jianhui Qiu

Path equations of different orbiting objects in the presence of very strong gravitational fields are essential to examine the impact of its gravitational effect on the stability of each system. Implementing an analogous method, used to…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Magd E. Kahil

We study the internal structure of anisotropic black holes with charged vector hairs. Taking advantage of the scaling symmetries of the system, some radially conserved charges are found via the extension of the Noether theorem. Then, a…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Rong-Gen Cai , Chenghu Ge , Li Li , Run-Qiu Yang

It is known that general relativity (GR) theory is not consistent with the latest observations. The modified gravity of GR known as $\mathrm{f(R)}$ where $\mathrm{R}$ is the Ricci scalar, is considered to be a good candidate for dealing…

General Relativity and Quantum Cosmology · Physics 2021-02-24 G. G. L. Nashed

We explore the classical stability of topological black holes in d-dimensional anti-de Sitter spacetime, where the horizon is an Einstein manifold of negative curvature. According to the gauge invariant formalism of Ishibashi and Kodama,…

High Energy Physics - Theory · Physics 2008-11-26 Danny Birmingham , Susan Mokhtari

The no-hair theorem postulates that the only externally observable properties of a black hole are its mass, its electric charge, and its angular momentum. In scalar-tensor theories of gravity, a matter distribution around a black hole can…

General Relativity and Quantum Cosmology · Physics 2017-09-14 Tomi Koivisto , Hannu J. Nyrhinen

We study black hole solutions in asymptotically AdS_4 spacetime with scalar hair. Following AdS/CFT dictionary these black holes can be interpreted as thermal states of 2+1 dimensional conformal gauge theory plasma, deformed by a relevant…

High Energy Physics - Theory · Physics 2011-01-27 Alex Buchel , Chris Pagnutti

The Einstein-Gauss-Bonnet gravity in five dimensions is extended by scalar fields and the corresponding equations are reduced to a system of non-linear differential equations. A large family of regular solutions of these equations is shown…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Y. Brihaye , L. Ducobu

We establish a new criterion for the dynamical stability of black holes in $D \geq 4$ spacetime dimensions in general relativity with respect to axisymmetric perturbations: Dynamical stability is equivalent to the positivity of the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Stefan Hollands , Robert M. Wald

The Reissner-Nordstrom black hole in four dimensions can be made unstable without violating the dominant energy condition by introducing a real massive scalar with non-renormalizable interactions with the gauge field. New stable black hole…

High Energy Physics - Theory · Physics 2009-11-11 Steven S. Gubser

By computing the Lyapunov exponent, which is the inverse of the instability time scale associated with this geodesic motion we show that there is two region of space which in both of them the equatorial timelike geodesics are stable via…

General Physics · Physics 2011-01-05 M. R. Setare , D. Momeni

We prove the global non-linear stability, without symmetry assumptions, of slowly rotating charged black holes in de Sitter spacetimes in the context of the initial value problem for the Einstein-Maxwell equations: If one perturbs the…

Analysis of PDEs · Mathematics 2020-05-28 Peter Hintz

We study New Massive Gravity on de Sitter background and discuss several interrelated properties: The appearance of an enhanced symmetry point at linearized level where the theory becomes partially massless; its absence at full nonlinear…

High Energy Physics - Theory · Physics 2015-01-09 Gregory Gabadadze , Gaston Giribet , Alberto Iglesias

It is well known that asymptotically flat black holes in general relativity have a vanishing static, conservative tidal response. We show that this is a result of linearly realized symmetries governing static (spin 0,1,2) perturbations…

High Energy Physics - Theory · Physics 2023-11-08 Lam Hui , Austin Joyce , Riccardo Penco , Luca Santoni , Adam R. Solomon

The presence of a photon region around the black hole is an essential feature in receiving the emitted spectrum from the vicinity of the black hole by the distant observer. In this paper, we investigate the optical properties of rotating…

General Relativity and Quantum Cosmology · Physics 2022-07-26 Balendra Pratap Singh , Md Sabir Ali , Sushant~G. ~Ghosh

In full Horndeski theories, we show that the static and spherically symmetric black hole (BH) solutions with a static scalar field~$\phi$ whose kinetic term~$X$ is nonvanishing on the BH horizon are generically prone to ghost/Laplacian…

General Relativity and Quantum Cosmology · Physics 2022-08-03 Masato Minamitsuji , Kazufumi Takahashi , Shinji Tsujikawa

In Einstein-Aether gravity, we revisit the issue of linear stabilities of black holes against odd-parity perturbations on a static and spherically symmetric background. In this theory, superluminal propagation is allowed and there is a…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Shinji Mukohyama , Shinji Tsujikawa , Anzhong Wang

We analyze spherically symmetric black hole solutions with time-dependent scalar hair in a class of Lovelock-Galileon theories, which are the scalar-tensor theories with second-order field equations in arbitrary dimensions. We first show…

General Relativity and Quantum Cosmology · Physics 2016-04-06 Kazufumi Takahashi , Teruaki Suyama , Tsutomu Kobayashi

In this paper, we study the stability of geodesic motion for both massive and massless particles using Lyapunov exponents in the non-commutative (NC) Schwarzschild black hole (BH) via the gauge theory of gravity. As a first step, we…

High Energy Physics - Theory · Physics 2025-07-17 Abdellah Touati , Zaim Slimane
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