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We present in this work the study of the linear perturbations of the 2+1-dimensional circularly symmetric solution, obtained in a previous work, with kinematic self-similarity of the second kind. We have obtained an exact solution for the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 R. Chan , M. F. A. da Silva , Jaime F. Villas da Rocha

This paper studies the perturbations of the continuously self-similar critical solution of the gravitational collapse of a massless scalar field (Roberts solution). The perturbation equations are derived and solved exactly. The perturbation…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Andrei V. Frolov

We present a critical review about the study of linear perturbations of matched spacetimes including gauge problems. We analyse the freedom introduced in the perturbed matching by the presence of background symmetries and revisit the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marc Mars , Filipe C. Mena , Raul Vera

We present results from a numerical study of critical gravitational collapse of axisymmetric distributions of massless scalar field energy. We find threshold behavior that can be described by the spherically symmetric critical solution with…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. W. Choptuik , E. W. Hirschmann , S. L. Liebling , F. Pretorius

This paper studies the non-spherical perturbations of the continuously self-similar critical solution of the gravitational collapse of a massless scalar field (the Roberts solution). The exact analysis of the perturbation equations reveals…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Andrei V. Frolov

We study linear perturbations around time dependent spherically symmetric solutions in the Lambda_3 massive gravity theory, which self-accelerate in the vacuum. We find that the dynamics of the scalar perturbations depend on the coordinate…

High Energy Physics - Theory · Physics 2015-06-16 Nima Khosravi , Gustavo Niz , Kazuya Koyama , Gianmassimo Tasinato

The kink stability of self-similar solutions of a massless scalar field with circular symmetry in 2+1 gravity is studied, and found that such solutions are unstable against the kink perturbations along the sonic line (self-similar horizon).…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Anzhong Wang , Yumei Wu

In this brief note we present a set of equations describing the evolution of perturbed scalar fields in a cosmological spacetime with multiple scalar fields. We take into account of the simultaneously excited full metric perturbations in…

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

Critical collapse of a self-gravitating scalar field in a (2+1)-dimensional spacetime with negative cosmological constant seems to be dominated by a continuously self-similar solution of the field equations without cosmological constant.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marco Cavaglia , Gerard Clement , Alessandro Fabbri

We review the appearance of multiple scalar fields in linearized SFT based cosmological models with a single non-local scalar field. Some of these local fields are canonical real scalar fields and some are complex fields with unusual…

High Energy Physics - Theory · Physics 2013-12-03 Federico Galli , Alexey S. Koshelev

We studied spherically symmetric solutions in scalar-torsion gravity theories in which a scalar field is coupled to torsion with a derivative coupling. We obtained the general field equations from which we extracted a decoupled master…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Georgios Kofinas , Eleftherios Papantonopoulos , Emmanuel N. Saridakis

First we review some of the attempts made to find exact spherically symmetric solutions of Einstein field equations in the presence of scalar fields .Wyman solution in both static and non static scalar field is discussed briefly and it is…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Mohammad Mehrpooya , D. Momeni

We investigate the stability of a free scalar field nonminimally coupled to gravity under linear perturbations in the spacetime of a charged spherical shell. Our analysis is performed in the context of quantum field theory in curved…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Jessica Santiago , Andre G. S. Landulfo , William C. C. Lima , George E. A. Matsas , Raissa F. P. Mendes , Daniel A. T. Vanzella

Within the scope of a spherically symmetric space-time we study the role of different types of matter in the formation of different configurations with spherical symmetries. Here we have considered matter with barotropic equation of state,…

General Relativity and Quantum Cosmology · Physics 2021-11-22 Bijan Saha

We consider the evolution of perturbed cosmological spacetime with multiple scalar fields in Einstein gravity. A complete set of scalar-type perturbation equations is presented in a gauge-ready form, and we derived the closed set of…

Astrophysics · Physics 2009-10-31 J. Hwang , H. Noh

Four-dimensional cylindrically symmetric spacetimes with homothetic self-similarity are studied in the context of Einstein's Theory of Gravity, and a class of exact solutions to the Einstein-massless scalar field equations is found. Their…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang

Critical collapse of a massless scalar field in spherical symmetry is systematically studied. We combine numerical simulations and asymptotic analysis, and synthesize critical collapse, spacetime singularities, and complex science. First…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Jun-Qi Guo , Hongsheng Zhang

All the 2+1-dimensional circularly symmetric solutions with kinematic self-similarity of the second kind to the Einstein-massless-scalar field equations are found and their local and global properties are studied. It is found that some of…

General Relativity and Quantum Cosmology · Physics 2009-07-07 R. Chan , M. F. A. da Silva , J. F. Villas da Rocha , Anzhong Wang

Some formulae for the perturbations of the matter fields are summarized within the framework of the second-order gauge-invariant cosmological perturbation theory in a four dimensional homogeneous isotropic universe, which is developed in…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Kouji Nakamura

The spherically symmetric perturbations in the spatially flat Friedman models are considered. It is assumed that the Friedmannian density and pressure are related through a linear equation of state. The perturbation is joined smoothly with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. A. Popov , R. K. Muharlyamov
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