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Spherically symmetric static topological black hole solutions associated with some extended higher order gravitational models in the presence of a Maxwell-field are derived by means of simple Lagrangian method, based on spherically…

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

Considering an action in F(G) modified gravity, the static spherically symmetric solutions are investigated. Introducing the Lagrangian multipliers {\alpha} we obtain the Lagrangian and equations of motion. we obtain two type solutions for…

广义相对论与量子宇宙学 · 物理学 2025-07-15 Naser Mohammadipour

The spherically symmetric static solutions are searched for in some f(T) models of gravity theory with a Maxwell term. To do this, we demonstrate that reconstructing the Lagrangian of f(T) theories is sensitive to the choice of frame, and…

广义相对论与量子宇宙学 · 物理学 2011-08-11 Tower Wang

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

Spherically symmetric static vacuum solutions have been built in $f(T)$ models of gravity theory. We apply some conditions on the metric components; then the new vacuum spherically symmetric solutions are obtained. Also, by extracting…

广义相对论与量子宇宙学 · 物理学 2013-11-19 K. Atazadeh , Misha Mousavi

We solve the gravitational field equations for a static, spherically symmetric spacetime within the framework of the symmetric teleparallel theory of gravity. Specifically, we derive new solutions within the context of power-law $f(Q)$…

广义相对论与量子宇宙学 · 物理学 2024-12-30 Nikolaos Dimakis , Petros A. Terzis , Andronikos Paliathanasis , Theodosios Christodoulakis

In this article we obtain wormhole solutions in the recently proposed extension of symmetric teleparallel gravity called $f(Q,T)$ gravity. Here, the gravitational Lagrangian $L$ is defined by an arbitrary function $f$ of $Q$ and $T$ (where…

广义相对论与量子宇宙学 · 物理学 2022-08-23 Moreshwar Tayde , Zinnat Hassan , P. K. Sahoo , Sashideep Gutti

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

In this work, we study spherically symmetric vacuum solutions in 1-parameter New General Relativity (NGR), a specific theory in teleparallel gravity which is constructed from the three possible quadratic scalars obtained from torsion with…

广义相对论与量子宇宙学 · 物理学 2024-03-13 Helen Asuküla , Sebastian Bahamonde , Manuel Hohmann , Vasiliki Karanasou , Christian Pfeifer , João Luís Rosa

We investigate static cylindrically symmetric vacuum solutions in Weyl coordinates in the framework of f(T) theories of gravity, where T is the torsion scalar. The set of modified Einstein equations is presented and the fourth coming…

综合物理 · 物理学 2013-01-15 M. J. S. Houndjo , D. Momeni , R. Myrzakulov

A new solution with constant torsion is derived using the field equations of f(T). Asymptotic forms of energy density, radial and transversal pressures are shown to meet the standard energy conditions, i.e., weak and null energy conditions…

综合物理 · 物理学 2016-10-24 Gamal G. L. Nashed

In this paper we investigate spherically symmetric vacuum solutions of $f(R)$ gravity in a higher dimensional spacetime. With this objective we construct a system of non-linear differential equations, whose solutions depend on the explicit…

广义相对论与量子宇宙学 · 物理学 2014-11-18 T. R. P. Caramês , E. R. Bezerra de Mello

In this paper, we investigate static spherically symmetric wormhole solutions in the background of $F(T,T_\mathcal{G})$ gravity ($T$ is the torsion scalar and $T_{\mathcal{G}}$ represents teleparallel equivalent of the Gauss-Bonnet term).…

广义相对论与量子宇宙学 · 物理学 2018-05-31 M. Sharif , Kanwal Nazir

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…

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

The modified theories of gravity, especially the $f(R)$ gravity, have attracted much attention in the last decade. This paper is devoted to exploring plane symmetric solutions in the context of metric $f(R)$ gravity. We extend the work on…

广义相对论与量子宇宙学 · 物理学 2017-06-15 M. Farasat Shamir

We study a class of static spherically symmetric vacuum solutions in modified teleparallel gravity solving the field equations for a specific model Ansatz, requiring the torsion scalar $T$ to be constant. We discuss the models falling in…

广义相对论与量子宇宙学 · 物理学 2024-05-21 Marco Calzá an Lorenzo Sebastiani

In this work, we explore wormhole solutions in $f(R,T)$ theory of gravity, where $R$ is the scalar curvature and $T$ is the trace of stress-energy tensor of matter. To investigate this, we consider static spherically symmetric geometry with…

广义相对论与量子宇宙学 · 物理学 2016-08-10 M. Zubair , Saira Waheed , Yasir Ahmad

We consider static spherically symmetric stellar configurations in Palatini theories of gravity in which the Lagrangian is an unspecified function of the form f(R,R_{\mu\nu}R^{\mu\nu}). We obtain the Tolman-Oppenheimer-Volkov equations…

广义相对论与量子宇宙学 · 物理学 2012-11-06 Gonzalo J. Olmo , Helios Sanchis-Alepuz , Swapnil Tripathi

We give a pedagogical introduction to static spherically symmetric solutions in models of New GR, both explaining the basics and showing how all such vacuum solutions can be obtained in elementary functions. In doing so, we coherently…

广义相对论与量子宇宙学 · 物理学 2024-02-07 Alexey Golovnev , A. N. Semenova , V. P. Vandeev

We consider a special class of vacuum $F(R)$-modified gravity models. The form of their Lagrangian is such that the field equations are trivially satisfied when the Ricci scalar is constant. There are many interesting $F(R)$-models for…

广义相对论与量子宇宙学 · 物理学 2018-04-04 Marco Calzà , Massimiliano Rinaldi , Lorenzo Sebastiani
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