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In this thesis, we present and apply the isomonodromy method (or isomonodromic method) to the study of quasinormal modes (QNMs), more precisely, we consider the analysis of modes that are associated with linear perturbations in two distinct…

High Energy Physics - Theory · Physics 2023-08-01 João Paulo Cavalcante

We present new exact charged black hole solutions in (2+1) dimensions within the framework of $f({Q})$ gravity, where ${Q}$ denotes the non-metricity scalar. By considering a cubic $f({Q})$ form we derive classes of charged and uncharged…

General Relativity and Quantum Cosmology · Physics 2026-04-24 G. G. L. Nashed , Emmanuel N. Saridakis

In recent works, a framework has been developed to describe (quantum) deformed, spherically symmetric and static black holes in four dimensions. The key idea of this so-called Effective Metric Description (EMD) is to parametrise…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Stefan Hohenegger

An exact spherically symmetric black hole solution of a recently proposed noncommutative gravity theory based on star products and twists is constructed. This is the first nontrivial exact solution of that theory. The resulting…

High Energy Physics - Theory · Physics 2009-06-16 Peter Schupp , Sergey Solodukhin

We study scalar, electromagnetic and gravitational perturbations of three families of regular black holes, Hayward, Bardeen, and Ayon-Beato-Garc\'ia immersed in a Perfect Fluid Dark Matter (PFDM) background. Using both the sixth-order WKB…

General Relativity and Quantum Cosmology · Physics 2026-01-08 L. O. Téllez Tovar , Omar Pedraza , L. A. López , R. Arceo

We study static, spherically symmetric black holes supported by Euler-Heisenberg theory of electrodynamics and coupled to two different modified theories of gravity. Such theories are the quadratic $f(R)$ model and Eddington-inspired…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Merce Guerrero , Diego Rubiera-Garcia

This article considers a static and spherical black hole (BH) in f(Q) gravity. f(Q) gravity is the extension of symmetric teleparallel general relativity, where both curvature and torsion are vanishing, and gravity is described by…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Ahmad Al-Badawi , Sohan Kumar Jha

We introduce the quasi-topological electromagnetism which is defined to be the squared norm of the topological 4-form $F\wedge F$. A salient property is that its energy-momentum tensor is of the isotropic perfect fluid with the pressure…

High Energy Physics - Theory · Physics 2019-07-26 Hai-Shan Liu , Zhan-Feng Mai , Yue-Zhou Li , H. Lu

In this paper, we derive the black hole solution in the context of nonlinear electrodynamics (NLED) coupled to a perfect fluid dark matter (PFDM) field. The resulting black hole solution interpolates between the $AdS$…

General Relativity and Quantum Cosmology · Physics 2025-03-10 Amit Kumar , Dharm Veer Singh , Sudhaker Upadhyay

We show how the Einstein equations with cosmological constant (and/or various types of matter field sources) can be integrated in a very general form following the anholonomic deformation method for constructing exact solutions in four and…

General Physics · Physics 2017-10-19 Sergiu I. Vacaru

This paper aims to explore the quasinormal modes (QNMs) and effective potential profiles of massless and rotating BTZ black holes within the frameworks of $f(\mathcal{R})$ and Ricci-Inverse ($\mathcal{RI}$) modified gravity theories, which,…

General Relativity and Quantum Cosmology · Physics 2025-04-11 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı , Abdelmalek Bouzenadad

We construct exact black hole solutions to Einstein gravity with nonlinear electrodynamic field. In these solutions, there are in general four parameters. They are physical mass, electric charge, cosmological constant and the coupling…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Shuang Yu , Changjun Gao

We investigate the quasinormal modes (QNMs) of noncommutative geometry-inspired dirty black holes, focusing on both non-extremal and extremal configurations. These gravitational objects, characterized by smeared energy distributions within…

General Relativity and Quantum Cosmology · Physics 2025-07-28 Davide Batic , Denys Dutykh , Zeinabou Ahmed Babou

In this work we discuss charged rotating black holes in $AdS_5 \times S^5$ that degenerate to extremal black holes with zero entropy. These black holes have scaling properties between charge and angular momentum similar to those of Fermi…

High Energy Physics - Theory · Physics 2015-06-05 Micha Berkooz , Anna Frishman , Amir Zait

As a preparation for a mathematically consistent study of the physics of symmetric spacetimes in a noncommutative setting, we study symmetry reductions in deformed gravity. We focus on deformations that are given by a twist of a Lie algebra…

High Energy Physics - Theory · Physics 2009-02-09 Thorsten Ohl , Alexander Schenkel

We construct a charged Bardeen black hole (BH) surrounded by perfect fluid dark matter (PFDM) and coupled to a cloud of strings (CS). The metric function combines the magnetic monopole charge from nonlinear electrodynamics, the PFDM…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı

We investigate quasitopological black holes in $(2+1)$ dimensions in the context of electromagnetic-generalized-quasitopological-gravities (EM-GQT). For three different families of geometries of quasitopological nature, we study the causal…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Jeferson de Oliveira , R. D. B. Fontana , A. B. Pavan

We construct static, spherically symmetric black hole solutions in quasi-topological gravity (QTG) coupled to Born-Infeld nonlinear electrodynamics. Starting from the spherically reduced action, we derive closed-form expressions for the…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Jose Pinedo Soto , Valeri P. Frolov

We investigate the quasinormal modes of static and spherically symmetric black holes in vacuum within the framework of $f(\mathbb{Q}) = \mathbb{Q} + \alpha \mathbb{Q}^2$ gravity, and compare them with those in $f(\mathbb{T}) = \mathbb{T} +…

General Relativity and Quantum Cosmology · Physics 2025-12-08 Zhen-Xiao Zhang , Chen Lan , Yan-Gang Miao

The Kerr solution is the cornerstone of General Relativity (GR) for modelling astrophysical rotating black holes and for testing GR through gravitational-wave observations and black hole imaging. Understanding how the Kerr geometry is…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Jibril Ben Achour , Adolfo Cisterna , Hugo Roussille