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A dynamical system with discrete time is studied by means of algebraic geometry. The system admits a reduction that is interpreted as a classical field theory in 2+1-dimensional wholly discrete space-time. The integrals of motion of a…

High Energy Physics - Theory · Physics 2007-05-23 I. G. Korepanov

Intrinsic and extrinsic geometric properties of string world sheets in curved space-time background are explored. In our formulation, the only dynamical degrees of freedom of the string are its immersion coordinates. Classical equation of…

High Energy Physics - Theory · Physics 2009-10-30 K. S. Viswanathan , R. Parthasarathy

We calculate the gravitational radiation emitted by an infinite cosmic string with two oppositely moving wave-trains, in the small amplitude approximation. After comparing our result to the previously studied cases we extend the results to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Xavier Siemens , Ken D. Olum

In this work, we present an overview of uniqueness results derived in recent years for the quantization of Gowdy cosmological models and for (test) Klein-Gordon fields minimally coupled to Friedmann-Lema\^{\i}tre-Robertson-Walker, de…

General Relativity and Quantum Cosmology · Physics 2019-12-10 Jerónimo Cortez , Guillermo A. Mena Marugán , José Velhinho

Modified gravity theories can be used for the description of homogeneous and isotropic cosmological models through the corresponding field equations. These can be cast into systems of autonomous differential equations because of their sole…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Christian G. Boehmer , Erik Jensko , Ruth Lazkoz

(from the talk:) I shall here speak on gravity in (1+1)-dimensional space-time --- lineal gravity. The purpose of studying lower dimensional theories, and specifically lower dimensional gravity, is to gain insight into difficult…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Jackiw

We investigate an alternative compactification of extra dimensions using local cosmic string in the Brans-Dicke gravity framework. In the context of dynamical systems it is possible to show that there exist a stable field configuration for…

High Energy Physics - Theory · Physics 2008-11-26 M. C. B. Abdalla , M. E. X. Guimaraes , J. M. Hoff da Silva

We examine the spectrum of gravitational radiation emitted by a network of cosmic strings, with emphasis on the observational constraints and the opportunities for detection. The analysis improves over past work, as we use a…

Astrophysics · Physics 2009-12-30 R. R. Caldwell , R. A. Battye , E. P. S. Shellard

We derive the geodesic equation of motion in the presence of weak gravitational fields produced by relativistic sources such as cosmic strings, decomposed into scalar, vector and tensor parts. We find that the vector (gravito-magnetic)…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-29 Miki Obradovic , Martin Kunz , Mark Hindmarsh , Ilian T. Iliev

Bianchi type V string cosmological models in general relativity are investigated. To get the exact solution of Einstein's field equations, we have taken some scale transformations followed by Camci $\it et ~ al$ (2001). It is shown that…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Anil Kumar Yadav , Vineet Kumar Yadav , Lallan Yadav

Several extensions of General Relativity and high energy physics include scalar fields as extra degrees of freedom. In the search for predictions in the non-linear regime of cosmological evolution, the community makes use of numerical…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-04 Claudio Llinares , David Mota

This paper explores the dynamics of the Klein-Gordon oscillator in the presence of a cosmic string in Som Raychaudhuri spacetime. The exact solutions for the free case and the oscillator case are obtained and discussed. These solutions…

High Energy Physics - Theory · Physics 2023-11-07 Abdelmalek Bouzenada , Abdelmalek Boumali , RLL Vitoria , C Furtado

In this paper we consider space-times containing matter expanding or contracting according to a time-dependent scale factor. Cosmologies with vanishing, positive or negative cosmological constant are considered. In the case of vanishing or…

High Energy Physics - Theory · Physics 2009-10-30 M. Welling

Charged massive scalar fields are considered in the gravitational and electromagnetic field produced by a dyonic black hole with a cosmic string along its axis of symmetry. Exact solutions of both angular and radial parts of the covariant…

General Relativity and Quantum Cosmology · Physics 2015-09-15 H. S. Vieira , V. B. Bezerra , G. V. Silva

Linearized gravitational waves in de Sitter space-time are analyzed in detail to obtain guidance for constructing the theory of gravitational radiation in presence of a positive cosmological constant in full, nonlinear general relativity.…

General Relativity and Quantum Cosmology · Physics 2015-09-02 Abhay Ashtekar , Béatrice Bonga , Aruna Kesavan

We obtain cosmological four dimensional solutions of the low energy effective string theory by reducing a five dimensional black hole, and black hole--de Sitter solution of the Einstein gravity down to four dimensions. The appearance of a…

High Energy Physics - Theory · Physics 2008-02-03 K. Behrndt , S. Foerste

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…

High Energy Physics - Theory · Physics 2015-07-08 Antônio de Pádua Santos , Eugênio R. Bezerra de Mello

The vibrating string is a source of gravitational waves which requires novel computational techniques, based on the explicit construction of a conserved and renormalized (in a classical sense) energy-momentum tensor. The renormalization is…

General Physics · Physics 2018-12-26 R. A. Lewis , G. Modanese

We consider, in five dimensions, the effective action from heterotic string which includes quantum gravity corrections up to (a')^2. The expansion, in the string frame, is in terms of |a'R|, where R is the scalar curvature and uses the…

High Energy Physics - Theory · Physics 2010-11-05 A. Kuiroukidis

A class of curved spacetimes with global parabolic isometries (GPI) is introduced. These isometries have fixed point sets on two-dimensional null surfaces which can be interpreted as worldsheets of massless cosmic strings. Back reaction…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Dmitri V. Fursaev
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