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In this paper we found an Exact solution for massless scalar field with cosmological constant. This exact solution generalized the Levi-Civita vacuum solution\cite{8} to a massless scalar field,with a cosmological constant term. This…

Mathematical Physics · Physics 2010-11-02 H. R. Rezazadeh

Assuming that universe is the object of point rotation at a frequency, the relationship is established between this frequency and the cosmological constant. Using the transformation for point-like rotating coordinate systems, an unusual…

General Physics · Physics 2018-07-25 Boris V. Gisin

A weak-field solution of Einstein's equations is constructed. It is generated by a circular cosmic string revolving in its plane about the centre of the circle. (The revolution is introduced to prevent the string from collapsing.) This…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Des J. Mc Manus , Michel A. Vandyck

A nonstatic and circularly symmetric exact solution of the Einstein equations (with a cosmological constant $\Lambda$ and null fluid) in $2+1$ dimensions is given. This is a nonstatic generalization of the uncharged spinless BTZ metric. For…

General Relativity and Quantum Cosmology · Physics 2009-10-22 K. S. Virbhadra

In this article, the behavior of a straight cosmic string is studied for the linearized version of Horndeski theory in cases where the scalar field is massless or massive. Several physical properties of such solutions are discussed in…

General Relativity and Quantum Cosmology · Physics 2026-04-06 M. Haluk Seçuk , Özgür Delice

The static, cylindrically symmetric vacuum solutions with a cosmological constant in the framework of the Brans-Dicke theory are investigated. Some of these solutions admitting Lorentz boost invariance along the symmetry axis correspond to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ozgur Delice

The exact axisymmetric and static solution of the Einstein equations coupled to axisymmetric and static gravitating scalar (or phantom) field is presented. The spacetimes modified by the scalar field are explicitly given for the so called…

General Relativity and Quantum Cosmology · Physics 2018-11-09 Bobur Turimov , Bobomurat Ahmedov , Martin Kološ , Zdeněk Stuchlík

The field equations for a time dependent cylindrical cosmic string coupled to gravity are reformulated in terms of geometrical variables defined on a 2+1-dimensional spacetime by using the method of Geroch decomposition. Unlike the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K R P Sjodin , U Sperhake , J A Vickers

Cylindrically symmetric inhomogeneous string cosmological models are investigated in presence of string fluid as a source of matter. To get the three types of exact solutions of Einstein's field equations we assume $A = f(x)k(t)$, $B =…

General Relativity and Quantum Cosmology · Physics 2011-12-20 Anil Kumar Yadav , Vineet Kumar Yadav , Lallan Yadav

Einstein-Maxwell equations with a cosmological constant are analyzed in a four dimensional stationary spacetime admitting in addition a two dimensional group $G_2$ of spatial isometries. Charged rotating open and closed black string…

High Energy Physics - Theory · Physics 2009-10-28 José P. S. Lemos , Vilson T. Zanchin

We review recent results concerning the spherically symmetric Einstein-scalar field system with positive cosmological constant. We do so by comparing with the classical results of Christodoulou concerning the asymptotically flat case…

General Relativity and Quantum Cosmology · Physics 2013-12-02 João L. Costa

Three-dimensional Einstein gravity coupled to zero, one and two forms is solved in terms of a polyhomogeneous asymptotic expansion, generalising stationary black string solutions. From first order terms we obtain, in closed form, a new…

High Energy Physics - Theory · Physics 2019-09-04 Philippe Spindel

In this paper, we present a type D, non-vanishing cosmological constant, vacuum solution of the Einstein's field equations, extension of an axially symmetric, asymptotically flat vacuum metric with a curvature singularity. The space-time…

General Physics · Physics 2020-11-23 Faizuddin Ahmed , Bidyut Bikash Hazarika , Debojit Sarma

We consider static and cylindrically symmetric interior string type solutions in the scalar-tensor representation of the hybrid metric-Palatini modified theory of gravity. As a first step in our study, we obtain the gravitational field…

General Relativity and Quantum Cosmology · Physics 2020-06-25 Tiberiu Harko , Francisco S. N. Lobo , Hilberto M. R. da Silva

We consider the possible existence of gravitationally bound stringlike objects in the framework of the generalized hybrid metric-Palatini gravity theory, in which the gravitational action is represented by an arbitrary function of the Ricci…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Hilberto M. R. da Silva , Tiberiu Harko , Francisco S. N. Lobo , João Luís Rosa

Here we describe a stationary cylindrically symmetric solution of Einstein's equation with matter consisting of a positive cosmological and rotating dust term. The solution approaches Einstein static universe solution.

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. D. Iftime

We consider $d$-dimensional static spacetimes in Einstein gravity with a cosmological constant in the presence of a minimally coupled massless scalar field. The spacetimes have a $(d-2)$-dimensional base manifold given by an Einstein space…

High Energy Physics - Theory · Physics 2012-06-08 Sebastian Garcia Saenz , Cristian Martinez

In this paper we construct a new kind of solutions of the Einstein's field equations with non-vanishing cosmological constant, which possess some interesting physical properties. The singularities of this kind of solutions are investigated.…

Mathematical Physics · Physics 2011-08-16 De-Xing Kong , Kefeng Liu , Ming Shen

We study an analytical solution to the Einstein's equations in 2+1-dimensions. The space-time is dynamical and has a line symmetry. The matter content is a minimally coupled, massless, scalar field. Depending on the value of certain…

General Relativity and Quantum Cosmology · Physics 2015-06-25 G. Oliveira-Neto

We make a systematic investigation of stationary cylindrically symmetric solutions to the five-dimensional Einstein and Einstein-Gauss-Bonnet equations. Apart from the five-dimensional neutral cosmic string metric, we find two new exact…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Mustapha Azreg-Ainou , Gérard Clément