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Recent numerical investigations have uncovered a surprising result: Reissner-Nordstrom-de Sitter black holes are unstable for spacetime dimensions larger than 6. Here we prove the existence of such instability analytically, and we compute…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Vitor Cardoso , Madalena Lemos , Miguel Marques

Spinning Kerr black holes are known to be superradiantly unstable to massive scalar perturbations. We here prove that the instability regime of the composed Kerr-black-hole-massive-scalar-field system is bounded from above by the…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Shahar Hod

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered. Their properties…

General Relativity and Quantum Cosmology · Physics 2015-06-25 U. Bleyer , K. A. Bronnikov , S. B. Fadeev , V. N. Melnikov

While the motion of particles near a rotating, electrically-neutral (Kerr), and charged (Kerr--Newman) black hole is always strictly regular, a perturbation in the gravitational or the electromagnetic field generally leads to chaos. The…

High Energy Astrophysical Phenomena · Physics 2014-05-28 O. Kopáček , V. Karas

Using perturbative expansion in terms of powers of the rotation parameter $a$ we construct the axisymmetric and asymptotically flat black-hole metric in the $D$-dimensional Einstein-Gauss-Bonnet theory. In five-dimensional spacetime we find…

General Relativity and Quantum Cosmology · Physics 2020-10-15 R. A. Konoplya , A. Zhidenko

We investigate the evolution of small perturbations around black strings and branes which are low energy solutions of string theory. For simplicity we focus attention on the zero charge case and show that there are unstable modes for a…

High Energy Physics - Theory · Physics 2009-01-23 R. Gregory , R. Laflamme

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

Employing higher order perturbation theory, we find a new class of charged rotating black hole solutions of Einstein-Maxwell-dilaton theory with general dilaton coupling constant. Starting from the Myers-Perry solutions, we use the electric…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Masoud Allahverdizadeh , Jutta Kunz , Francisco Navarro-Lerida

We work on the relation between the local thermodynamic instability and the dynamical instability of large black holes in four-dimensional anti-de Sitter space proposed by Gubser and Mitra. We find that all perturbations suppressing the…

High Energy Physics - Theory · Physics 2007-05-23 SangChul Yoon

We prove that for axially symmetric linear gravitational perturbations of the extreme Kerr black hole there exists a positive definite and conserved energy. This provides a basic criteria for linear stability in axial symmetry. In the…

General Relativity and Quantum Cosmology · Physics 2014-09-22 Sergio Dain , Ivan Gentile de Austria

Supersymmetric, rotating, asymptotically flat black holes with a regular horizon are rare configurations in String Theory. One example is known in five spacetime dimensions, within the toroidal compactification of type IIB string theory.…

High Energy Physics - Theory · Physics 2009-10-31 C. A. R. Herdeiro

It can be expected that the respective endpoints of the Gregory-Laflamme black brane instability and the Rayleigh-Plateau membrane instability are related because the bifurcation diagrams of the black hole-black string system and the liquid…

High Energy Physics - Theory · Physics 2008-11-26 Umpei Miyamoto

We study large D effective theory for D dimensional charged (Anti) de Sitter black holes. Then we show that de Sitter Reissner-Nordstrom black hole becomes unstable against gravitational perturbations at larger charge than certain critical…

High Energy Physics - Theory · Physics 2016-05-25 Kentaro Tanabe

We investigate properties of two-dimensional asymptotically flat black holes which arise in both string theory and in scale invariant theories of gravity. By introducing matter sources in the field equations we show how such objects can…

High Energy Physics - Theory · Physics 2010-04-06 R. B. Mann , M. S. Morris , S. F. Ross

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

Vortices and black holes set the scene for many interesting dynamical processes in physics. Here, we study the dynamical instability of quantised vortices and rotational superradiance around rotating black holes, illustrating in the process…

We study the charged slowly rotating black holes in the Einstein-Maxwell theory in the large dimensions. By using the 1/D expansion in the near region of the black hole we obtain the effective equations for the charged slowly rotating black…

High Energy Physics - Theory · Physics 2017-05-24 Bin Chen , Peng-Cheng Li , Zi-zhi Wang

We consider the bound states of the massive scalar field around a rotating black hole immersed in the asymptotically uniform magnetic field. In the regime of slow black hole rotation, the Klein-Gordon equation allows separation of…

High Energy Physics - Theory · Physics 2009-01-16 R. A. Konoplya

Plenty of efforts have been made to explore the black string and its instability, but the fate of the black strings with fewer extra dimensions is still inconclusive. Now starting from the 5D uniform black string, we show that the EHT…

General Relativity and Quantum Cosmology · Physics 2022-11-11 Zi-Yu Tang , Xiao-Mei Kuang , Bin Wang , Wei-Liang Qian

We extend the three dimensional stringy black hole of Horne and Horowitz to four dimensions. After a brief discussion of the global properties of the metric, we discuss the stability of the background with respect to small perturbations,…

High Energy Physics - Theory · Physics 2009-10-22 E. Raiten