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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,…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

In this article, we have examined the existence of a static spherically symmetric solution in the Scalar Tensor Vector Gravity (STVG) and investigated its horizon distances to develop boundary limitations for our test particle. We have…

广义相对论与量子宇宙学 · 物理学 2022-11-04 Devansh Shukla , Abhay Menon A , Kamlesh Pathak

We consider circular particle motion under the action of an unspecified force in a static spherically symmetric spacetime. We derive the machinery that allows one to find the force acting on a circular particle and deduce whether its…

广义相对论与量子宇宙学 · 物理学 2026-03-30 Hryhorii Ovcharenko , O. B. Zaslavskii

We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by…

高能物理 - 理论 · 物理学 2010-11-19 S. Mignemi , D. L. Wiltshire

In the context of $f(R)$ theories of gravity, we address the problem of finding static and spherically symmetric black hole solutions. Several aspects of constant curvature solutions with and without electric charge are discussed. We also…

广义相对论与量子宇宙学 · 物理学 2010-01-15 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

In this paper we investigate circular orbits for test particles around Schwarzschild-de Sitter (dS) black hole surrounded by perfect fluid dark matter. We determine the region of circular orbits bounded by innermost and outermost stable…

广义相对论与量子宇宙学 · 物理学 2021-08-09 Javlon Rayimbaev , Sanjar Shaymatov , Mubasher Jamil

A static, asymptotically flat, spherically symmetric solutions is investigated in f(R) theories of gravity for a charged black hole. We have studied the weak field limit of f(R) gravity for the some f(R) model such as f(R) = R + epsilon…

广义相对论与量子宇宙学 · 物理学 2011-09-13 A. Aghamohammadi , Kh. Saaidi , M. R. Abolhasani , A. Vajdi

We study a static spherically symmetric problem with a black hole and radially directed geodesic flows of dark matter. The obtained solutions have the following properties. At large distances, the gravitational field produces constant…

广义相对论与量子宇宙学 · 物理学 2021-02-11 Igor Nikitin

Spherically symmetric static empty space solutions are studied in f(R) theories of gravity. We reduce the set of modified Einstein's equations to a single equation and show how one can construct exact solutions in different f(R) models. In…

天体物理学 · 物理学 2009-11-11 Tuomas Multamaki , Iiro Vilja

This article is devoted to investigate the effects of $f(R)$ theory in the dynamics of a massless particle near the horizon of a static spherically symmetric (SSS) black hole. Deriving the equations of motion within $f(R)$ gravitational…

广义相对论与量子宇宙学 · 物理学 2023-12-04 Surajit Das , Surojit Dalui

In this brief note we investigate the conditions under which a Schwarzschild de Sitter black hole spacetime is a solution of the mimetic $F(R)$ gravity with Lagrange multiplier and potential. As we demonstrate, the resulting mimetic $F(R)$…

广义相对论与量子宇宙学 · 物理学 2016-06-16 V. K. Oikonomou

Earlier constructed a simple nonlocal de Sitter gravity model has a cosmological solution in a very good agreement with astronomical observations. In this paper, we continue the investigation of the nonlocal de Sitter model of gravity,…

广义相对论与量子宇宙学 · 物理学 2022-12-29 I. Dimitrijevic , B. Dragovich , Z. Rakic , J. Stankovic

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton…

高能物理 - 理论 · 物理学 2018-11-13 Damien A. Easson

We study the particle motion in the space-time of a Kehagias-Sfetsos (KS) black hole. This is a static spherically symmetric solution of a Horava-Lifshitz gravity model that reduces to General Relativity in the IR limit and deviates…

广义相对论与量子宇宙学 · 物理学 2015-05-28 Victor Enolskii , Betti Hartmann , Valeria Kagramanova , Jutta Kunz , Claus Laemmerzahl , Parinya Sirimachan

In this paper, we studied the geodesics of timelike and null like particles near an improved Schwarzschild black hole. The lapse function has been plotted and was found that only one horizon is possible. The equation of motion and effective…

广义相对论与量子宇宙学 · 物理学 2023-11-01 Surajit Mandal

We show that Schwarzschild geometry remains as a vacuum solution for those four-dimensional f(T) gravitational theories behaving as ultraviolet deformations of general relativity. In the gentler context of three-dimensional gravity, we also…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Rafael Ferraro , Franco Fiorini

This paper explores the dynamics of both neutral as well as charged particles orbiting near a rotating black hole in scalar-tensor-vector gravity. We study the conditions for the particle to escape at the innermost stable circular orbit. We…

广义相对论与量子宇宙学 · 物理学 2017-09-13 M. Sharif , Misbah Shahzadi

We investigate the dynamics of a neutral and a charged particle around a static and spherically symmetric black hole in the presence of quintessence matter and external magnetic field. We explore the conditions under which the particle…

广义相对论与量子宇宙学 · 物理学 2015-01-26 Mubasher Jamil , Saqib Hussain , Bushra Majeed

We analyze the behaviour of geodesic motion of test particles in the spacetime of a specific class of axially symmetric static vacuum solutions to the Einstein equations, hereafter referred to as linearized multipole solution (LM). We…

广义相对论与量子宇宙学 · 物理学 2013-09-23 J. L. Hernandez-Pastora , L. Herrera , J. Ospino

The weak field approximation in a model of de Sitter gravity is investigated in the static and spherically symmetric case, under the assumption that the vacuum spacetime without perturbations from matter fields is a torsion-free de Sitter…

广义相对论与量子宇宙学 · 物理学 2013-06-12 Jia-An Lu , Chao-Guang Huang
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