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A scalar field generalization of Xanthopoulos's cylindrically symmetric solutions of the vacuum Einstein equation is obtained. The obtained solution preserves the properties of the Xanthopoulos solution, which are regular on the axis,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ozay Gurtug , Izzet Sakalli

In the present article we find a new class of solutions of Einstein's field equations. It describes stationary, cylindrically symmetric spacetimes with closed timelike geodesics everywhere outside the symmetry axis. These spacetimes contain…

General Relativity and Quantum Cosmology · Physics 2010-04-20 Oyvind Gron , Steinar Johannesen

We construct gravitating superconducting string solutions of the U(1)_{local} x U(1)_{global} model solving the coupled system of Einstein and matter field equations numerically. We study the properties of these solutions in dependence on…

High Energy Physics - Theory · Physics 2013-05-30 Betti Hartmann , Florent Michel

The gravitational field of a stationary circular cosmic string loop ,externally supported against collapse, is investigated in the context of Brans-Dicke theory in the weak field approximation of the field equations. The solution is…

General Relativity and Quantum Cosmology · Physics 2015-06-25 A. Barros , A. A. Sen , C. Romero

We find solutions of Einstein's field equation for topologically stable strings associated with the breaking of a U(1) symmetry. Strings form in many GUTs and are expected whenever the homotopy group $\Pi_1(M_0)$ is non-trivial. The…

Astrophysics · Physics 2009-10-22 Charles C. Dyer , Francine R. Marleau

We introduce a class of rotating magnetically charged string solutions of the Einstein gravity with a nonlinear electrodynamics source in four dimensions. The present solutions has no curvature singularity and no horizons but has a conic…

High Energy Physics - Theory · Physics 2014-11-21 S. H. Hendi

This paper reviews the Einstein Cartan theory (ECT), the famous extension of general relativity (GR) in presence of spacetime torsion. The vacuum equations are derived step by step. Vielbein formulation is discussed for determining the…

High Energy Physics - Theory · Physics 2020-09-16 Richa Kapoor

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

A new class of solutions of Einstein field equations has been investigated for inhomogeneous cylindrically symmetric space-time with string source. To get the deterministic solution, it has been assumed that the expansion ($\theta$) in the…

General Relativity and Quantum Cosmology · Physics 2014-05-06 Anirudh Pradhan , A. K. Yadav , R. P. Singh , V. K. Singh

We study cosmological solutions in the low-energy effective heterotic string theory, which is the Einstein gravity with Gauss-Bonnet term and the dilaton. We show that the field equations are cast into an autonomous system for flat internal…

High Energy Physics - Theory · Physics 2008-11-26 Kazuharu Bamba , Zong-Kuan Guo , Nobuyoshi Ohta

We construct generalizations of the D=5 Kerr black string by including higher curvature corrections to the gravity action in the form of the Gauss-Bonnet density. These uniform black strings satisfy a generalised Smarr relation and share…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Burkhard Kleihaus , Jutta Kunz , Eugen Radu , Bintoro Subagyo

It is shown that Born-Infeld gravity --a high energy deformation of Einstein gravity-- removes the singularities of a cosmic string. The respective vacuum solution results to be free of conical singularity and closed timelike curves. The…

General Relativity and Quantum Cosmology · Physics 2011-09-30 Rafael Ferraro , Franco Fiorini

Any interior solution for a cylindrically symmetric, stationary cosmic string with flat exterior, spinning around its longitudinal axis, and without internal longitudinal currents ($g_{zz}=1$, $g_{tz}=0$), must somewhere violate the weak…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrew J. Janca

In this work we investigate analytic static and spherically symmetric solutions of a generalized theory of gravity in the Einstein-Cartan formalism. The main goal consists in analyzing the behavior of the solutions under the influence of a…

General Relativity and Quantum Cosmology · Physics 2018-08-15 F. A. Silveira , R. F. Sobreiro , A. A. Tomaz

In the field equations of Einstein-Cartan theory with cosmological constant a static spherically symmetric perfect fluid with spin density satisfying the Weyssenhoff restriction is considered. This serves as a rough model of space filled…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Christian G. Boehmer

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

Closed Time-like curves (CTC) in Cosmic strings in teleparallel $T_{4}$ gravity are forbidden.This result shown here in $T_{4}$ was shown by Soleng (Phys.Rev.D49 (1994)1124) also to be valid in Einstein-Cartan (EC) gravity.Here we show that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

In analogy with the standard derivation of the Schwarzschild solution, we find all static, cylindrically symmetric solutions of the Einstein field equations for vacuum. These include not only the well known cone solution, which is locally…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Cynthia S. Trendafilova , Stephen A. Fulling

This paper concerns the motion of a relativistic string in a curved space-time. As a general framework, we first analyze relativistic string equations, i.e., the basic equations for the motion of a one-dimensional extended object in a…

Mathematical Physics · Physics 2010-07-27 Chun-Lei He , De-Xing Kong

We show that the Einstein-Cartan-Sciama-Kibble theory of gravity with torsion not only extends general relativity to account for the intrinsic spin of matter, but it may also eliminate major problems in gravitational physics and answer…

General Relativity and Quantum Cosmology · Physics 2016-10-25 Nikodem J. Poplawski