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We study scalar perturbations for a four-dimensional asymptotically Lifshitz black hole in conformal gravity with dynamical exponent z=0, and spherical topology for the transverse section, and we find analytically and numerically the…

General Relativity and Quantum Cosmology · Physics 2015-10-14 Marcela Catalan , Eduardo Cisternas , P. A. Gonzalez , Yerko Vasquez

Born-Infeld black holes in the Scalar-Tensor Theories of Gravity, in the case of massless scalar field, have been recently obtained. The aim of the current paper is to study the effect from the inclusion of a potential for the scalar field…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Ivan Zh. Stefanov , Daniela A. Georgieva , Stoytcho S. Yazadjiev , Michail D. Todorov

We investigate the instability of the massive scalar field in the vicinity of a rotating black hole. The instability arises from amplification caused by the classical superradiance effect. The instability affects bound states: solutions to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

Black holes found in binaries move at very high velocities relative to our own reference frame and can accelerate due to the emission of gravitational radiation. Here, we investigate the numerical stability and late-time behavior of linear…

General Relativity and Quantum Cosmology · Physics 2020-08-06 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena

In this paper we consider quasi-normal modes of test scalar and electromagnetic fields in the background of a non-Schwarzschild black hole in the Einstein-Weyl gravity. We find the dependence of the modes on the new parameter $p$, which is…

General Relativity and Quantum Cosmology · Physics 2019-07-24 A. F. Zinhailo

We study in special limiting cases quasinormal modes of massive scalar fields in the Schwarzschild-de Sitter black hole backgrounds. We determine the lower limit on the mass parameter of the scalar field that allows the waves with…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Bobir Toshmatov , Zdeněk Stuchlík

Motivated by several pieces of evidence, in order to show that extreme black holes cannot be obtained as limits of non-extremal black holes, in this article we calculate explicitly quasinormal modes for Ba\~{n}ados, Teitelboim and Zanelli…

High Energy Physics - Theory · Physics 2016-08-16 Juan Crisóstomo , Samuel Lepe , Joel Saavedra

The decay of massive scalar field in the Schwarzschild black hole background is investigated here by consideration its quasinormal spectrum. It has been proved that the so-called $quasi-resonant$ modes, which are arbitrary long living…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. A. Konoplya , A. V. Zhidenko

This work presents a generalization of the rotating black hole in two plus one dimensions, in the light of scale--dependent gravitational couplings. In particular, the gravitational coupling $\kappa_0$ and the cosmological term $\Lambda_0$…

High Energy Physics - Theory · Physics 2020-02-05 Angel Rincon , Benjamin Koch

We investigate the area spectrum for rotating black holes which are Kerr and BTZ black holes. For slowly rotating black holes, we use the Maggiore's idea combined with Kunstatter's method to derive their area spectra, which are equally…

High Energy Physics - Theory · Physics 2014-11-20 Yun Soo Myung

The Klein-Gordon equation in the Rindler space-time is studied carefully. It is shown that the stable properties depend on using what time coordinate to define the initial time. If we use the Rindler time, the scalar field is stable.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tian Gui-hua , Shi-kun Wang , Shuquan Zhong

In three spacetime dimensions, pure Einstein gravity admits no local propagating degrees of freedom, yet nontrivial gravitational backgrounds such as the BTZ black hole provide a natural arena to probe dynamical extensions of the theory. In…

General Relativity and Quantum Cosmology · Physics 2026-03-17 C. A. S. Almeida , F. C. E. Lima

This paper investigates the normal modes of a probe scalar field in a five-dimensional AdS-Schwarzschild black hole with the brick wall boundary condition near the horizon. We employ various techniques to compute the spectrum and analyze…

High Energy Physics - Theory · Physics 2025-02-06 Suman Das , Somnath Porey , Baishali Roy

We present an exhaustive analysis of scalar, electromagnetic and gravitational perturbations in the background of Schwarzchild-de Sitter and Reissner-Nordstrom-de Sitter spacetimes. The field propagation is considered by means of a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Molina , D. Giugno , E. Abdalla , A. Saa

We study the nonlinear stability of the Cauchy horizon in the interior of extremal Reissner-Nordstr\"om black holes under spherical symmetry. We consider the Einstein-Maxwell-Klein-Gordon system such that the charge of the scalar field is…

General Relativity and Quantum Cosmology · Physics 2019-05-15 Dejan Gajic , Jonathan Luk

We investigate the Teichm\"{u}ller parameters for a Euclidean multiple BTZ black hole spacetime. To induce a complex structure in the asymptotic boundary of such a spacetime, we consider the limit in which two black holes are at a large…

High Energy Physics - Theory · Physics 2014-01-22 Yasunari Kurita , Masaru Siino

We study a class of perturbative scalar quantum field theories where dynamics is characterized by Lorentz-invariant or Lorentz-breaking non-local operators of fractional order and the underlying spacetime has a varying spectral dimension.…

High Energy Physics - Theory · Physics 2021-08-16 Gianluca Calcagni

We consider the behaviour of a quantum scalar field on three-dimensional Euclidean backgrounds: Anti-de Sitter space, the regular BTZ black hole instanton and the BTZ instanton with a conical singularity at the horizon. The corresponding…

High Energy Physics - Theory · Physics 2016-08-24 Robert B. Mann , Sergey N. Solodukhin

We investigate the linearized equations of motion in three dimensional Born-Infeld gravity theory. Motivated by this model, we calculate the quasinormal modes of BTZ black hole solutions of parity-even gravity theories in three dimensions…

High Energy Physics - Theory · Physics 2019-03-07 Ghadir Jafari , Hesam Soltanpanahi

For general gravitational collapse, inside the black-hole region, singularities $(r=0)$ may arise. In this article, we aim to answer how strong these singularities could be. We analyse the behaviours of various geometric quantities. In…

Analysis of PDEs · Mathematics 2020-03-31 Xinliang An , Ruixiang Zhang