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In this work, we investigate a static and spherically symmetric Bardeen-Kiselev black hole with cosmological constant which is a solution of the Einstein-non-linear Maxwell field equations along with a quintessential field. We compute the…

General Relativity and Quantum Cosmology · Physics 2023-06-02 S. R. Wu , B. Q. Wang , Z. W. Long

The gravitational back-reaction is calculated for the conformally invariant scalar field within a black cosmic string interior with cosmological constant. Using the perturbed metric, the gravitational effects of the quantum field are…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. DeBenedictis

We present a spherically symmetric and static exact solution of Quantum Einstein Equations. This solution is asymptotically (for large $r$) identical with the black hole solution on the anti--De Sitter background and, for some range of…

General Relativity and Quantum Cosmology · Physics 2010-11-19 J. Kowalski - Glikman

We investigate the conformal string $\sigma $-model corresponding to a general five-dimensional non-extremal black hole solution. In the horizon region the theory reduces to an exactly solvable conformal field theory. We determine the…

High Energy Physics - Theory · Physics 2009-10-30 J. G. Russo

Black holes, the simplest solution to Einstein's field equations, do not emit light, making their observations a major challenge for researchers. However, discovery of binary black holes (BBHs) in 2015 by LIGO has transformed the study of…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Ishan Swamy , Deobrat Singh

The classical model of an oscillator linearly coupled to a string captures, for a low price in technique, many general features of more realistic models for describing a particle interacting with a field or an atom in a electromagnetic…

Quantum Physics · Physics 2009-11-13 Amaury Mouchet

We investigate the quasinormal mode (QNM) spectrum for scalar perturbations of static, magnetically charged black holes in the presence of a quintessence field. The background geometry is obtained from the Einstein-Power-Maxwell action with…

General Relativity and Quantum Cosmology · Physics 2025-09-12 Ali Hasnain

Solution of the nonlinear Klein-Gordon equation perturbed by small external force is investigated. The perturbation is represented by finite collections of harmonics. The frequencies of the perturbation vary slowly and pass through the…

Mathematical Physics · Physics 2007-05-23 S. G. Glebov , O. M. Kiselev

We consider the eigenvalue equation for the Laplace-Beltrami operator acting on scalar functions on the non-compact Eguchi-Hanson space. The corresponding differential equation is reducible to a confluent Heun equation with Ince symbol…

Differential Geometry · Mathematics 2015-04-13 Andreas Malmendier

We consider black-string-type solutions in five-dimensional Einstein-Gauss-Bonnet gravity. Numerically constructed solutions under static, axially symmetric and translationally invariant metric ansatz are presented. The solutions are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Tsutomu Kobayashi , Takahiro Tanaka

We address the Klein-Gordon equation for a spinless charged particle in the presence of an electromagnetic (EM) field, and focus on its known shortcoming, related to the existence of solutions with a negative probability density. We…

General Physics · Physics 2022-12-14 A. L. Kholmetskii , T. Yarman , O. Missevitch

We analyze the relationship between quasilocal masses calculated for solutions of conformally related theories. We show that the ADM mass of a static, spherically symmetric solution is conformally invariant (up to a constant factor) only if…

General Relativity and Quantum Cosmology · Physics 2009-10-28 K. C. K. Chan , J. D. E. Creighton , R. B. Mann

In this paper, we consider a system of a massless Klein-Gordon field coupled to a static source. The total Hamiltonian is a self-adjoint operator on a boson Fock space. We consider annihilation operators in the Heisenberg picture and define…

Mathematical Physics · Physics 2017-08-22 Toshimitsu Takaesu

In this analysis, we study the dynamics of quantum oscillator fields within the context of a position-dependent mass (PDM) system situated in an Einstein-Maxwell space-time, incorporating a non-zero cosmological constant. The magnetic field…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Faizuddin Ahmed , Abdelmalek Bouzenada

We investigate black hole solutions within a phenomenological approach to quantum gravity based on spacetime thermodynamics developed by Alonso-Serrano and Li\v{s}ka. The field equations are traceless, similarly to unimodular gravity, and…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Ana Alonso-Serrano , Marco de Cesare , Manuel Del Piano

We describe a midi-superspace quantization scheme for generic single horizon black holes in which only the spatial diffeomorphisms are fixed. The remaining Hamiltonian constraint yields an infinite set of decoupled eigenvalue equations: one…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Gegenberg , G. Kunstatter , R. D. Small

In the context of the black hole/string transition, it is useful to produce Euclidean string backgrounds representing hot and self-gravitating strings. We utilise analytical and numerical methods to find a smooth, stationary rotating…

High Energy Physics - Theory · Physics 2024-04-01 Jorge E. Santos , Yoav Zigdon

We investigate the properties of a charged rotating black string immersed in a Kiselev anisotropic fluid in anti-de Sitter (AdS) spacetime. The Einstein-Maxwell equations with an anisotropic stress-energy tensor and cosmological constant…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Leonardo G. Barbosa , Victor Hugo M. Ramos , Luis Cesar N. dos Santos , Celso C. Barros

Unlike in the Schwarzschild black hole background, gravitational perturbations in a Kerr black hole background can not be decomposed into simple tensor harmonics in the time domain. Here, we make mode decompositions only in the azimuthal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos O. Lousto , Hiroyuki Nakano

We study charged massive scalar field perturbations on the rotating black hole (BH) background of Einstein-Maxwell-Dilaton-Axion (EMDA) theory, known as the Kerr-EMDA BH. Starting from the gauge-covariant Klein-Gordon equation (KGE), we…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Nazım Sertkan , İzzet Sakallı