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Related papers: New Black hole Solutions in $f(\mathbb{Q})$ Gravit…

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The hybrid metric-Palatini theory of gravity (HMPG), proposed in 2012 by T. Harko et al., is known to successfully describe both local (solar-system) and cosmological observations. We discuss static, spherically symmetric vacuum solutions…

General Relativity and Quantum Cosmology · Physics 2020-10-20 K. A. Bronnikov , S. V. Bolokhov , M. V. Skvortsova

In this study, we investigate the possible existence of static and spherically symmetric wormhole solutions within the context of the newly formulated extended $f(Q,T)$ gravity. We analyze a linear model, $f(Q,T)=\alpha Q+ \beta T$, and…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Sara Rastgoo , Foad Parsaei , Soudabe Nasirimoghadam

In this paper we analyze spherically symmetric static vacuum solutions with various topologies in mimetic gravity. When the Einstein's tensor is different from zero, a new class of solutions different from the Schwarzschild one emerges from…

General Relativity and Quantum Cosmology · Physics 2015-09-21 Ratbay Myrzakulov , Lorenzo Sebastiani

Using a nonlinear electrodynamics coupled to teleparallel theory of gravity, three regular charged spherically symmetric solutions are obtained. The nonlinear theory reduces to the Maxwell one in the weak limit and the solutions correspond…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gamal G. L. Nashed

In this paper, we consider $F(R)=R+f(R)$ theory instead of Einstein gravity with conformal anomaly and look for its analytical solutions. Depending on the free parameters, one may obtain both uncharged and charged solutions for some classes…

General Relativity and Quantum Cosmology · Physics 2012-01-04 S. H. Hendi , D. Momeni

According to Birkhoff's theorem the only spherically symmetric solution of the vacuum Einstein field equations is the Schwarzschild solution. Inspite of imposing asymptotically flatness and staticness as initial conditions we obtain that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Amir H. Abbassi

We consider a scalar field coupled to the torsion in Teleparallel Gravity with a coupling function that does not allow for a tachyonic instability to occur, and it leads to the formation of new black holes with scalar hair. The scalarized…

General Relativity and Quantum Cosmology · Physics 2025-02-06 P. A. González , Eleftherios Papantonopoulos , Joaquín Robledo , Yerko Vásquez

In this paper, we have systematically discussed the existence of the spherically symmetric wormhole solutions in the framework of $f(Q,\,T)$ gravity under two interesting non-commutative geometries such as Gaussian and Lorentzian…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Moreshwar Tayde , Zinnat Hassan , P. K. Sahoo

Regular and spherically symmetric black holes that solve the singularity problems of the Schwarzschild solution are phenomenologically viable at large distance but usually suffer from the Cauchy horizon instability. To overcome this…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Marco Calzá , Massimiliano Rinaldi , Sergio Zerbini

Axially symmetric spacetimes play an important role in the relativistic description of rotating astrophysical objects like black holes, stars, etc. In gravitational theories that venture beyond the usual Riemannian geometry by allowing…

General Relativity and Quantum Cosmology · Physics 2021-02-26 Sebastian Bahamonde , Jorge Gigante Valcarcel , Laur Järv , Christian Pfeifer

$f(Q)$ 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

Due to the absence of spherically symmetric black hole solutions in $f(\mathbb{Q})$ because of the constraint derived from its field equations, which yields either $\mathbb{Q}=0 $ or $f_{\mathbb{Q} \mathbb{Q}}=0 $…

General Relativity and Quantum Cosmology · Physics 2025-01-17 G. G. L. Nashed

For specifically coupled values of the quadratic gravity parameters, we present a fully explicit static spherically symmetric solution. It contains the central singularity surrounded by the black-hole or the cosmological horizon for the…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Simon Knoska , David Kofron , Robert Svarc

In this paper we present the general spherically symmetric static solution to the vacuum equations of Cotton gravity. The obtained metric solution reveals the presence of singularities at the photosphere of a spherical source, which…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Merab Gogberashvili , Ani Girgvliani

Among the modified gravitational theories, the ghost-free Gauss-Bonnet (GFGB) theory of gravity has been considered from the viewpoint of cosmology. The best way to check its applicability could be to elicit observable predicts which give…

General Relativity and Quantum Cosmology · Physics 2022-08-31 G. G. L. Nashed , Shin'ichi Nojiri

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

We investigate in this paper the static radial coordinate-dependent spherically symmetric spacetime in teleparallel $F(T)$ gravity for a scalar field source. We begin by setting the static field equations (FEs) to be solved and solve the…

General Relativity and Quantum Cosmology · Physics 2025-03-20 Alexandre Landry

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

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

We provide a novel model of gravity by using adjoint frame fields in four dimensions. It has a natural interpretation as a gravitational theory of a complex metric field, which describes interactions between two real metrics. The classical…

High Energy Physics - Theory · Physics 2015-12-14 Zhi-Qiang Guo , Ivan Schmidt