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Related papers: Black holes in $f(\mathbb Q)$ Gravity

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We investigate static and spherically symmetric vacuum solutions in the symmetric teleparallel $f(\mathbb{Q})$ modified theory of gravity. Starting from a recently proposed classification of affine connections compatible with both the…

General Relativity and Quantum Cosmology · Physics 2026-02-24 A. Dehyadegari , A. Sheykhi

In this work, we consider an extension of the symmetric teleparallel equivalent of General Relativity (STEGR), namely, $f(\mathbb{Q})$ gravity, by including a boundary term $\mathbb{B}_Q$, where $\mathbb{Q}$ is the non-metricity scalar.…

General Relativity and Quantum Cosmology · Physics 2024-04-01 José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues

$f(Q)$ and $f(T)$ gravity are based on fundamentally different geometric frameworks, yet they exhibit many similar properties. This article provides a comprehensive summary and comparative analysis of the various theoretical branches of…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Cheng Wu , Xin Ren , Yuhang Yang , Yu-Min Hu , Emmanuel N. Saridakis

f(Q) gravity is the extension of symmetric teleparallel general relativity (STGR), in which both curvature and torsion vanish, and gravity is attributed to nonmetricity. This work performs theoretical analyses of static and spherically…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Wenyi Wang , Hua Chen , Taishi Katsuragawa

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

In the work [Phys.Rev.D 105 (2022) 2, 024042], D'Ambrosio et al. investigated spherically symmetric black hole solutions in $f(\mathbb{Q})$ gravity, where several solutions satisfy the condition: $g_{tt}g_{rr} = \mathrm{const}$. This…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Zhen-Xiao Zhang , Chen Lan , Yan-Gang Miao

Black hole solutions are studied here within the symmetric teleparallel formulation of gravity, employing the $f(Q)$ model in which the gravitational dynamics are governed by the non-metricity scalar $Q$. We focus on static, circularly…

General Relativity and Quantum Cosmology · Physics 2026-03-10 G. G. L. Nashed , A. Eid

We establish a framework to construct spherically symmetric and static solutions in $f(R)$ gravity coupled with nonlinear electromagnetic fields. We present two new specific solutions and discuss the energy conditions. We calculate some…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Yongben Shi , Rong-Jia Yang

In this article, we focus on symmetric teleparallel gravity, a modification of General Relativity where gravity is described by the non-metricity of an affine connection, whose curvature and torsion vanish. In these theories, the…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Manuel Hohmann , Vasiliki Karanasou

A new geometric interpretation for General Relativity (GR) is proposed. We show that in the presence of an arbitrary affine connection, the gravitational field is described as nonmetricity of the affine connection. An affine connection can…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander Poltorak

Within the framework of metric-affine gravity (MAG, metric and an independent linear connection constitute spacetime), we find, for a specific gravitational Lagrangian and by using {\it prolongation} techniques, a stationary axially…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Baekler , Friedrich W. Hehl

We investigate exact charged and uncharged black hole solutions in a (2+1)-dimensional spacetime within the framework of quadratic form of $f(\mathbb{Q})$ symmetric teleparallel gravity, where $\mathbb{Q}$ is the non-metricity scalar. By…

General Relativity and Quantum Cosmology · Physics 2026-01-13 G. G. L. Nashed , Salvatore Capozziello

The static, spherical solutions that exhibit an antisymmetry between the temporal and radial coordinates in $f(R)$ gravity theories are presented. I present the constraint for this antisymmetry and show that pure $R^2$ models produce these…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Garrett Gould

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

Symmetric teleparallel gravity is constructed with a nonzero nonmetricity tensor while both torsion and curvature are vanishing. In this framework, we find exact scalarised spherically symmetric static solutions in scalar-tensor theories…

General Relativity and Quantum Cosmology · Physics 2022-09-05 Sebastian Bahamonde , Jorge Gigante Valcarcel , Laur Järv , Joosep Lember

In this paper, we obtain analytical approximate black hole solutions in the framework of $f(R)$ gravity and the absence of a cosmological constant. In this area, we apply the equations of motion of the theory to a spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Seyed Naseh Sajadi , Ali Hajilou , Seyed Hossein Hendi

Recent observation shows that general relativity (GR) is not valid in the strong regime. $\mathit{f(R)}$ gravity where $\mathit{R}$ is the Ricci scalar, is regarded to be one of good candidates able to cure the anomalies appeared in the…

General Relativity and Quantum Cosmology · Physics 2021-07-01 G. G. L. Nashed , S. Nojiri

We consider static and spherically symmetric wormhole solutions in extended metric-affine theories of gravity supposing that stability and traversability of these objects can be achieved by means of the geometric degrees of freedom. In…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Vittorio De Falco , Salvatore Capozziello

We investigate static and rotating charged spherically symmetric solutions in the framework of $f({\cal R})$ gravity, allowing additionally the electromagnetic sector to depart from linearity. Applying a convenient, dual description for the…

General Relativity and Quantum Cosmology · Physics 2021-01-04 G. G. L. Nashed , Emmanuel N. Saridakis

Extended gravitational models have gained large attention in the last couple of decades. In this work, we examine the solution space of vacuum, static, and spherically symmetric spacetimes within $F(R)$ theories, introducing novel methods…

General Relativity and Quantum Cosmology · Physics 2024-11-11 Cristobal Laporte , Agustín Silva
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