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We investigate the scalar perturbation of a newly proposed Kalb-Ramond (KR) BTZ-like black hole. After the separation of variables for the Klein-Gordon equation, we find that the radial part reduces to the general Heun equation. Using the…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Zhong-Wu Xia , Sheng Long , Huajie Gong , Qiyuan Pan , Jiliang Jing

We investigate the propagation of a scalar field in a $(2+1)$-dimensional accelerated black hole, recently revisited in \cite{Arenas_Henriquez_2022}. We briefly describe the minimally-coupled configuration as rendering a trivial scalar…

General Relativity and Quantum Cosmology · Physics 2024-04-16 R. D. B. Fontana , Angel Rincon

We analytically study the quasinormal modes of a scalar perturbation around a rotating BTZ-like black hole in the Einstein-bumblebee gravity. We observe that the Lorentz symmetry breaking parameter imprints only in the imaginary parts of…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Chengjia Chen , Qiyuan Pan , Jiliang Jing

We study the behavior of a scalar field under a z = 3 Lifshitz black hole background, in a way that is non-minimally coupled to the gravitational field. A general analytical solution is obtained along with two sets of quasinormal modes…

High Energy Physics - Theory · Physics 2012-09-24 Samuel Lepe , Javier Lorca , Francisco Pena , Yerko Vasquez

We consider a real, massive scalar field in BTZ spacetime, a 2+1-dimensional black hole solution of the Einstein's field equations with a negative cosmological constant. First, we analyze the space of classical solutions in a mode…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Francesco Bussola , Claudio Dappiaggi , Hugo R. C. Ferreira , Igor Khavkine

We perturb the non-rotating BTZ black hole with a non-minimally coupled massless scalar field, and we compute the quasinormal spectrum exactly. We solve the radial equation in terms of hypergeometric functions, and we obtain an analytical…

High Energy Physics - Theory · Physics 2018-05-15 Grigoris Panotopoulos

We study the spectrum of tensor perturbations on extremal BTZ black holes in topologically massive gravity for arbitrary values of the coefficient of the Chern-Simons term, $\mu$. Imposing proper boundary conditions at the boundary of the…

High Energy Physics - Theory · Physics 2014-11-21 Hamid R. Afshar , Mohsen Alishahiha , Amir E. Mosaffa

The recent proposal of Maggiore that the periodicity of a black hole may be the origin of area quantization law is analyzed in the context of three dimensional black holes. We use the period of motion of an outgoing wave which is shown to…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Alexis Larranaga

We study scalar test-field perturbations on top of a Kerr--black-bounce background, i.e. a family of rotating regular black holes and/or rotating traversable wormholes that can mimic Kerr black holes. We compute the quasi-normal modes for a…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Edgardo Franzin , Stefano Liberati , Jacopo Mazza , Ramit Dey , Sumanta Chakraborty

In the previous work, it was shown that the degrees of freedom on the horizon of BTZ black hole can be described by two chiral massless scalar fields with opposite chirality. In this paper, we continuous this research. It is found that the…

General Relativity and Quantum Cosmology · Physics 2019-03-20 Jingbo Wang

In this paper, we consider the propagation of waves in the space-time of a single black hole with a static Schwarzschild radius in the expanding universe, namely, the solutions of the linear and semilinear Klein-Gordon equations.

Analysis of PDEs · Mathematics 2024-10-22 Karen Yagdjian , Anahit Galstian

Inspiral of binary black holes occurs over a time-scale of many orbits, far longer than the dynamical time-scale of the individual black holes. Explicit evolutions of a binary system therefore require excessively many time steps to capture…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Stephen R. Lau , Harald P. Pfeiffer , Jan S. Hesthaven

We study the propagation of scalar fields in the background of $2+1$-dimensional Coulomb like AdS black holes, and we show that such propagation is stable under Dirichlet boundary conditions. Then, we solve the Klein-Gordon equation by…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Almendra Aragón , P. A. González , Joel Saavedra , Yerko Vásquez

We consider the minimally coupled Klein-Gordon equation for a charged, massive scalar field in the non-extremal Reissner-Nordstr\"om background. Performing a frequency domain analysis, using a continued fraction method, we compute the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Juan Carlos Degollado , Carlos A. R. Herdeiro

The classical scalar massive field satisfying the Klein-Gordon equation in a finite one-dimensional space interval of periodically varying length with Dirichlet boundary conditions is studied. For the sufficiently small mass, the energy can…

Mathematical Physics · Physics 2008-11-26 J. Dittrich , P. Duclos

Classical scalar fields have been proposed as possible candidates for the dark matter component of the universe. Given the fact that super-massive black holes seem to exist at the center of most galaxies, in order to be a viable candidate…

General Relativity and Quantum Cosmology · Physics 2012-08-01 Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Miguel Alcubierre , Darío Núñez , Olivier Sarbach

In this work we derive the asymptotic quasi-normal modes of a BTZ black hole using a quantum field theoretic Lagrangian. The BTZ black hole is a very popular system in the context of $2+1$-dimensional quantum gravity. However to our…

General Relativity and Quantum Cosmology · Physics 2015-09-22 Soham Pal , Karthik Rajeev , S. Shankaranarayanan

A nontrivial scalar field configuration of vanishing energy-momentum is reported. These matter configurations have no influence on the metric and therefore they are not be "detected" gravitationally. This phenomenon occurs for a…

High Energy Physics - Theory · Physics 2016-08-16 Eloy Ayón-Beato , Cristián Martínez , Jorge Zanelli

We incorporate a massless scalar field into a 3-dimensional code for the characteristic evolution of the gravitational field. The extended 3-dimensional code for the Einstein--Klein--Gordon system is calibrated to be second order…

General Relativity and Quantum Cosmology · Physics 2008-11-26 W. Barreto , A. Da Silva , R. Gomez , L. Lehner , L. Rosales , J. Winicour

It is shown that Kerr-Newman black holes can support linear charged scalar fields in their exterior regions. To that end, we solve analytically the Klein-Gordon wave equation for a stationary charged massive scalar field in the background…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Shahar Hod