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In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

In this work, we revisit a recently reported generalization of the Ba\~nados-Teitelboim-Zanelli black hole arising in New Massive Gravity sourced by the quantum fluctuations of scalar matter, now examined through the lens of a purely…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Julio A. Méndez-Zavaleta , Efraín Rojas , José Joaquín Suárez-Garibay

The Ba\~nados-Teitelboim-Zanelli (BTZ) black hole metric solves the three-dimensional Einstein's theory with a negative cosmological constant as well as all the generic higher derivative gravity theories based on the metric; as such it is a…

High Energy Physics - Theory · Physics 2019-10-02 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

In (2+1)-dimensional gravity with negative cosmological constant, the states in the negative energy range, between AdS (M=-1) and the so-called BTZ black hole ($M\geq 0$), correspond to topological defects with angular deficit $0<\alpha…

High Energy Physics - Theory · Physics 2009-12-10 Olivera Miskovic , Jorge Zanelli

In this paper, we investigate regular black hole solutions in the (2+1)-dimensional versions of General Relativity and $f(R, T)$ gravity, both coupled to nonlinear electrodynamics. By admitting that the matter content that generates such…

General Relativity and Quantum Cosmology · Physics 2025-08-18 Miguel A. S. Pinto , Roberto V. Maluf , Gonzalo J. Olmo

We investigate the global structure of a recently discovered simple exact, non-stationary solution of topologically massive and new massive gravity with the asymptotic charges of an undeformed BTZ black hole. We establish the existence of a…

High Energy Physics - Theory · Physics 2013-08-28 Mario Flory , Ivo Sachs

We discuss black hole solutions in (2+1)-dimensions with a scalar field non-minimally coupled to Einstein's gravity in the presence of a cosmological constant and a self-interacting scalar potential. Without specifying the form of the…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Zi-Yu Tang , Yen Chin Ong , Bin Wang , Eleftherios Papantonopoulos

We investigate Einstein-Gauss-Bonnet (EGB) 4D massive gravity coupled to nonlinear electrodynamics (NED) in an Anti-de-Sitter (AdS) background and find an exact magnetically charged black hole solution. The metric function was analyzed for…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Prosenjit Paul , S. I. Kruglov

We reviewed the Ba\u nados-Teitelboim-Zanelli (BTZ) black hole solution in connection with the spinning string solution. We find a new exact solution, which can be related to the $(2+1)$-dimensional spinning point particle solution. There…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Reinoud J. Slagter , Jebin Larosh

It is well-known that unlike its chargeless version the charged Banados-Teitelboim-Zanelli (BTZ) black hole solution in 2+1- dimensional spacetime is singular. We construct a charged, regular extension of the BTZ black hole solution by…

General Relativity and Quantum Cosmology · Physics 2012-02-13 S. Habib Mazharimousavi , M. Halilsoy , T. Tahamtan

The 2+1 black hole coupled to a Maxwell field can be charged in two different ways. On the one hand, it can support a Coulomb field whose potential grows logarithmically in the radial coordinate. On the other, due to the existence of a…

High Energy Physics - Theory · Physics 2009-11-11 T. Andrade , M. Banados , R. Benguria , A. Gomberoff

We construct an axially symmetric solution of Eddington-inspired Born-Infeld gravity coupled to an electromagnetic field in 2+1 dimensions including a (negative) cosmological constant term. This is achieved by using a recently developed…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Merce Guerrero , Gerardo Mora-Pérez , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

We investigate some aspects of the $(2+1)$-dimensional Gauss-Bonnet black hole proposed in [1][2]. The perturbations of scalar and massless spinorial fields are studied suggesting the dynamical stability of the geometry. The field evolution…

General Relativity and Quantum Cosmology · Physics 2024-01-31 B. Cuadros-Melgar , R. D. B. Fontana , Jeferson de Oliveira

We study Einstein's gravity with negative cosmological constant coupled to nonlinear electrodynamics proposed earlier. The metric and mass functions and corrections to the Reissner--Nordstr\"{o}m solution are obtained. Black hole solutions…

General Physics · Physics 2024-08-12 S. I. Kruglov

Some special solutions of the Einstein-Maxwell action with a non-negative cosmological constant and a very heavy point mass particle have been obtained. The solutions correspond to static spacetime of locally constant curvature in its…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. A. Jafarizadeh , H. Fakhri , S. K. Moayedi

We obtain an exact static solution to Einstein-Power-Maxwell (EPM) theory in $(2+1)$ dimensional AdS spacetime, in which the scalar field couples to gravity in a non-minimal way. After considering the scalar potential, a stable system leads…

High Energy Physics - Theory · Physics 2018-04-12 Wei Xu , De-Cheng Zou

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

The aim of this paper is to evaluate the energy distribution of some 2+1 black hole solutions applying the Landau-Lifshitz and Weinberg definitions. The metrics under consideration describe the charged black hole, the solution coupling to a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. Radinschi , I-Ching Yang

We generate from the static charged BTZ black hole a family of spinning charged solutions to the Einstein-Maxwell equations in 2+1 dimensions. These solutions go over, in a suitable limit, to self-dual spinning charged solutions, which are…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Gérard Clément

Despite the experimental success of general relativity in the scales it has been tested, there are still some inconsistencies, such as explaining the acceleration of the universe and singularities. $f(R)$ gravity has emerged to provide…

General Relativity and Quantum Cosmology · Physics 2023-12-12 A. C. L. Santos , R. V. Maluf , C. R. Muniz