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Inspired by the so-called Palatini formulation of General Relativity and of its modifications and extensions, we consider an analogous formulation of the dynamics of a self-interacting gauge field which is determined by non-linear extension…

广义相对论与量子宇宙学 · 物理学 2025-05-15 Yosef Verbin , Beyhan Pulice , Ali Övgün , Hyat Huang

We present analytic solutions of Maxwell equations for infinitely long cylindrical conductors with nonvanishing electric charge and currents in the external background spacetime of a line gravitomagnetic monopole. It has been shown that…

广义相对论与量子宇宙学 · 物理学 2009-11-11 B. J. Ahmedov , A. V. Khugaev , N. I. Rakhmatov

The search for regular black holes with nonlinear electromagnetic fields has sprouted numerous candidates, each exhibiting certain virtues but often accompanied by significant drawbacks. We demonstrate that Komar mass, electric charge and…

广义相对论与量子宇宙学 · 物理学 2026-01-22 Ana Bokulić , Tajron Jurić , Ivica Smolić

We consider Kasner-type static, cylindrically symmetric interior string solutions in the $f\left(R,L_m\right)$ theory of modified gravity. The physical properties of the string are described by an anisotropic energy-momentum tensor…

广义相对论与量子宇宙学 · 物理学 2015-10-07 Tiberiu Harko , Matthew J. Lake

Gravitational theories generated from Lagrangians of the form f(R) are considered. The spherically symmetric solutions to these equations are discussed, paying particular attention to features that differ from the standard Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2009-11-11 T. Clifton

We study stationary configurations mimicking nonholonomic locally anisotropic black rings (for instance, with ellipsoidal polarizations and/or imbedded into solitonic backgrounds) in three/six dimensional pseudo-Finsler/ Riemannian…

高能物理 - 理论 · 物理学 2014-11-20 Mihai Anastasiei , Sergiu I. Vacaru

A new solution to the Einstein-Maxwell field equations is presented describing a cylindrically symmetric homogeneous cosmology. The solution is conformally flat, it possesses seven Killing vectors of which the timelike one is rotating and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Hector Vargas Rodriguez

In this paper we study the spheroidal cases of static charged fluid configurations in general relativity. We consider the effect of the anisotropic stresses of electromagnetic field on the shape of static charged self-graviting objects. It…

广义相对论与量子宇宙学 · 物理学 2011-03-01 S. M. Kozyrev

A Lagrangian derivation of the Equation of Motion (EOM) for static spherically symmetric metrics in F(R) modified gravity is presented. For a large class of metrics, our approach permits to reduce the EOM to a single equation and we show…

广义相对论与量子宇宙学 · 物理学 2015-09-21 Lorenzo Sebastiani , Sergio Zerbini

There are a number of publications on relativistic objects dealing either with black holes or naked singularities in the center. Here we show that there exist static spherically symmetric solutions of Einstein equations with a strongly…

广义相对论与量子宇宙学 · 物理学 2024-08-27 O. S. Stashko , V. I. Zhdanov

We perform a systematic analysis of the conditions under which \textit{generalized} gauge field theories of compact semisimple Lie groups exhibit electrostatic spherically symmetric non-topological soliton solutions in three space…

高能物理 - 理论 · 物理学 2008-11-26 Joaquin Diaz-Alonso , Diego Rubiera-Garcia

We study, in the semiclassical limit, the singularly perturbed nonlinear Schr\"odinger equations $$ L^{\hbar}_{A,V} u = f(|u|^2)u \quad \mbox{in } R^N $$ where $N \geq 3$, $L^{\hbar}_{A,V}$ is the Schr\"odinger operator with a magnetic…

偏微分方程分析 · 数学 2016-06-14 Silvia Cingolani , Louis Jeanjean , Kazunaga Tanaka

It is claimed that the paper by Zhong-Ying Fan and Xiaobao Wang [Phys. Rev. D 94, 124027 (2016), arXiv: 1610.02636] on nonlinear electrodynamics coupled to general relativity, being correct in general, in some respects repeats previously…

广义相对论与量子宇宙学 · 物理学 2017-12-13 K. A. Bronnikov

In this paper we study regular cosmic string solutions of the non-Abelian Higgs model coupled with the Einstein gravity. In order to do that, we constructed a set of coupled differential ordinary equation. Because there is no closed…

高能物理 - 理论 · 物理学 2015-07-08 Antônio de Pádua Santos , Eugênio R. Bezerra de Mello

We find general relativistic solutions of equilibrium magnetic field configurations in magnetars, extending previous results of Colaiuda et al. (2008). Our method is based on the solution of the relativistic Grad-Shafranov equation, to…

太阳与恒星天体物理 · 物理学 2010-11-02 R. Ciolfi , V. Ferrari , L. Gualtieri , J. A. Pons

In this research manuscript, we explore cylindrically symmetric solutions within the framework of modified $f(R)$ theories of gravity, where $R$ representing the Ricci scalar. The study focuses on analyzing the cylindrical solutions within…

广义相对论与量子宇宙学 · 物理学 2024-04-18 Adnan Malik

We study weak-field solutions having spherical symmetry in $f(T)$ gravity; to this end, we solve the field equations for a non diagonal tetrad, starting from Lagrangian in the form $f(T)=T+\alpha T^{n}$, where $\alpha$ is a small constant,…

广义相对论与量子宇宙学 · 物理学 2015-05-25 Matteo Luca Ruggiero , Ninfa Radicella

We search for spherically symmetric solutions of f(R) theories of gravity via the Noether Symmetry Approach. A general formalism in the metric framework is developed considering a point-like f(R)-Lagrangian where spherical symmetry is…

广义相对论与量子宇宙学 · 物理学 2008-11-26 S. Capozziello , A. Stabile , A. Troisi

We study classical localised configurations - solitons - in a theory of self-interacting complex Proca field with the global $U(1)$ symmetry. We focus on spherically-symmetric solitons near the nonrelativistic limit, which are supported by…

高能物理 - 理论 · 物理学 2026-02-02 Yulia Galushkina , Emin Nugaev , Andrey Shkerin

Exact particle-like static, spherically and/or cylindrically symmetric solutions to the equations of interacting scalar and electromagnetic field system have been obtained. We considered Freedman-Robertson-Walker (FRW) space-time as an…

广义相对论与量子宇宙学 · 物理学 2019-04-22 B. Saha