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We construct spherically symmetric and static solutions in $F(R)$ gravity coupled with electromagnetic fields. The solutions include new types of black holes with electric and magnetic charges. We show that the higher-derivative terms make…

General Relativity and Quantum Cosmology · Physics 2023-03-22 G. G. L. Nashed , S. Nojiri

We consider Maxwell-f(R) gravity and obtain an exact charged black hole solution with dynamic curvature in D-dimensions. Considering a spherically symmetric metric ansatz and without specifying the form of f(R) we fnd a general black hole…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Zi-Yu Tang , Bin Wang , Eleftherios Papantonopoulos

In this work, we explore black hole and regular black hole solutions in the recently proposed Conformal Killing Gravity (CKG). This theory is of third order in the derivatives of the metric tensor and essentially satisfies three theoretical…

General Relativity and Quantum Cosmology · Physics 2024-02-07 José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues

We find an exact static solution in four dimensions to the field equations of the $f(\mathbb{Q})$ gravity by using a cylindrically static spacetime with two different ansatz, $\nu(r)$ and $\mu(r)$. This solution is derived without imposing…

General Relativity and Quantum Cosmology · Physics 2025-03-06 G. G. L. Nashed

The current study explores the generalized embedded wormhole solutions in the background of $f(\mathcal{R},\mathcal{G})$ gravity, where $\mathcal{R}$ represents the Ricci scalar and $\mathcal{G}$ denotes the Gauss-Bonnet invariant. To…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Asifa Ashraf , Saadia Mumtaz , Faisal Javed , Zhiyue Zhang

Einsteinian cubic gravity is a higher-order gravitational theory in which the linearized field equations of motion match Einstein's equations on a maximally symmetric background. This theory allows the existence of a static and spherically…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Antonio De Felice , Shinji Tsujikawa

Black hole solutions in general relativity are simple. The frequency spectrum of linear perturbations around these solutions (i.e., the quasinormal modes) is also simple, and therefore it is a prime target for fundamental tests of black…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Emanuele Berti , Caio F. B. Macedo , Ryan McManus

We study spherically symmetric geometries made of anisotropic perfect fluid based on general relativity. The purpose of the work is to find and classify black hole solutions in closed spacetime. In a general setting, we find that a static…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Hyeong-Chan Kim

New general relativity (NGR) is a torsion-based modification of general relativity whose Lagrangian depends on three free parameters, $(c_{a}, c_{v}, c_{t})$. A subset of the parameter space is physically admissible, namely that which…

General Relativity and Quantum Cosmology · Physics 2026-04-24 D. F. López , A. A. Coley , B. Yildirim

In the three-dimensional pure Einstein gravity, the geometries of the vacuum space-times are always trivial, and gravitational waves (gravitons) are strictly forbidden. For the first time, we find a vacuum circularly symmetric black hole…

General Physics · Physics 2014-12-22 Hongsheng Zhang , Dao-Jun Liu , Xin-Zhou Li

This note includes results of a study of stationary spherically symmetric ``dark holes'', objects merging central black holes and peripheral scalar graviton dark haloes arising in the framework of the modified gravity -- the quartet-metric,…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Yu. F. Pirogov , O. V. Zenin

We identify a set of higher-derivative extensions of Einstein-Maxwell theory that allow for spherically symmetric charged solutions characterized by a single metric function $f(r)=-g_{tt}=1/g_{rr}$. These theories are a non-minimally…

High Energy Physics - Theory · Physics 2021-04-26 Pablo A. Cano , Ángel Murcia

We carefully investigate, extend, and shed new light on the McVittie exact solution of Einstein's gravity (EG) with the focus on the implications in the Universe we live in. It turns out that the only known exact solution of EG, which…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Leonardo Modesto , Edoardo Rattu

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

We present a review on Lagrangian models admitting spherically symmetric regular black holes, and cosmological bounce solutions. Non-linear electrodynamics, non-polynomial gravity, and fluid approaches are explained in details. They consist…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Aimeric Colléaux , Stefano Chinaglia , Sergio Zerbini

The most general set of static and spherically symmetric solutions for conformal Killing gravity coupled to Maxwell fields is presented in closed form. These solutions, depending on six parameters, include non-asymptotically flat black…

General Relativity and Quantum Cosmology · Physics 2024-07-19 Gérard Clément , Khireddine Nouicer

In this note, we discuss the pathological nature of black holes in Einsteinian Cubic gravity and its extensions. We compute the equations for the odd perturbations and show how spherically symmetric solutions that asymptotically approach a…

General Relativity and Quantum Cosmology · Physics 2023-06-13 Jose Beltrán Jiménez , Alejandro Jiménez-Cano

We derive the black hole solutions with horizons of non-trivial topology and investigate their properties in the framework of an approach to quantum gravity being an extension of Bohm's formulation of quantum mechanics. The solutions we…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Kowalski-Glikman , D. Nowak-Szczepaniak

We discuss static, spherically symmetric solutions with an electric field in a quadratic extension of general relativity formulated in the Palatini approach (assuming that metric and connection are independent fields). Unlike the usual…

General Relativity and Quantum Cosmology · Physics 2013-01-14 Gonzalo J. Olmo , D. Rubiera-Garcia

In this paper we obtain topological static solutions of some kind of pure $F(R)$ gravity. The present solutions are two kind: first type is uncharged solution which corresponds with the topological (a)dS Schwarzschild solution and second…

High Energy Physics - Theory · Physics 2015-03-18 S. H. Hendi , B. Eslam Panah , S. M. Mousavi