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We study a class of classical dilaton vacua in string theory that depend on the light-cone variable $z=t\pm x$ and, thus, have wavelike behavior. One of the interesting results is the existence of a solution subclass with perfectly regular…

High Energy Physics - Theory · Physics 2008-02-03 Eugene Tyurin

We consider the effect of string inhomogeneities on the time dependent background of Brane Gas Cosmology. We derive the equations governing the linear perturbations of the dilaton-gravity background in the presence of string matter sources.…

High Energy Physics - Theory · Physics 2010-02-03 Scott Watson , Robert Brandenberger

We investigate the instability and stability of some steady-states of a three-dimensional nonhomogeneous incompressible viscous flow driven by gravity in a bounded domain $\Omega$ of class $C^2$. When the steady density is heavier with…

Analysis of PDEs · Mathematics 2013-11-19 Fei Jiang , Song Jiang

The Kaluza-Klein linear dilaton background of the bosonic string and the Scherk-Schwarz linear dilaton background of the superstring are shown to be unstable to the decay of half of spacetime. The decay proceeds via a condensation of a…

High Energy Physics - Theory · Physics 2008-11-26 Oren Bergman , Shinji Hirano

D0-branes on a D2-brane with a constant background B-field are unstable due to the presence of a tachyonic mode and expected to dissolve into the D2-brane to formulate a constant D0-charge density. In this paper we study such a dissolution…

High Energy Physics - Theory · Physics 2009-11-11 Yoshinao Sato

We discuss an effective field theory background containing the gravitational field, the dilaton and a closed string tachyon, and couple this background to a gas of fundamental strings and D strings. Allowing for the possibility of a…

High Energy Physics - Theory · Physics 2008-11-26 Robert H. Brandenberger , Andrew R. Frey , Sugumi Kanno

In order to understand the nonlinear stability of many types of time-periodic travelling waves on unbounded domains, one must overcome two main difficulties: the presence of embedded neutral eigenvalues and the time-dependence of the…

Analysis of PDEs · Mathematics 2015-05-13 Margaret Beck , Bjorn Sandstede , Kevin Zumbrun

We show that the natural resonant frequency of a suspended flexible string is significantly modified (by one order of magnitude) by adding a freely pivoting attached mass at its lower end. This articulated system then exhibits complex…

Pattern Formation and Solitons · Physics 2024-04-26 Filip Novkoski , Jules Fillette , Chi-Tuong Pham , Eric Falcon

This paper is concerned with the asymptotic stability analysis of a one dimensional wave equation with Dirichlet boundary conditions subject to a nonlinear distributed damping with an L p functional framework, p $\in$ [2, $\infty$]. Some…

Analysis of PDEs · Mathematics 2019-07-30 Yacine Chitour , Swann Marx , Christophe Prieur

We derive a class of solutions to the string sigma-model equations for the closed bosonic string. The tachyon field is taken to form a constant condensate and the beta-function equations at one-loop level are solved for the evolution of the…

High Energy Physics - Theory · Physics 2009-09-25 Alan Kostelecky , Malcolm Perry

We consider early time cosmic evolution in string gas cosmology dominated by open strings attached to D-branes. After reviewing statistical properties of open strings in D-brane backgrounds, we use dilaton-gravity equations to determine the…

High Energy Physics - Theory · Physics 2009-11-13 Ayse Arslanargin , Ali Kaya

We argue that tachyon-free type I string vacua with supersymmetry breaking in the open sector at the string scale can be interpreted, via S and T-duality arguments, as metastable vacua of supersymmetric type I superstring. The dynamics of…

High Energy Physics - Theory · Physics 2008-11-26 C. Angelantonj , E. Dudas

We consider a class of nonlinear Klein-Gordon equations which are Hamiltonian and are perturbations of linear dispersive equations. The unperturbed dynamical system has a bound state, a spatially localized and time periodic solution. We…

chao-dyn · Physics 2009-10-31 A. Soffer , M. I. Weinstein

The paper provides a new framework for the description of linearized adiabatic lagrangian perturbations and stability of differentially rotating newtonian stars. In doing so it overcomes problems in a previous framework by Dyson and Schutz…

Astrophysics · Physics 2014-10-13 Horst R. Beyer

We study a class of elastic systems described by a (hyperbolic) partial differential equation. Our working example is the equation of a vibrating string subject to linear disturbance. The main goal is to establish conditions for…

Analysis of PDEs · Mathematics 2007-05-23 M. I. Caiado , A. V. Sarychev

In the first part of this work we consider an unstable non-BPS Dp-\bar{Dp}-brane pair in Type II superstring theory. Turning on a background NS-NS B-field (constant and nonzero along two spatial directions), we show that the tachyon…

High Energy Physics - Theory · Physics 2007-05-23 Hugo Garcia-Compean , Jorge Moreno

It has been conjectured that an extremum of the tachyon potential of a bosonic D-brane represents the vacuum without any D-brane, and that various tachyonic lump solutions represent D-branes of lower dimension. We show that the tree level…

High Energy Physics - Theory · Physics 2009-09-15 Debashis Ghoshal , Ashoke Sen

We discuss construction of classical time dependent solutions in open string (field) theory, describing the motion of the tachyon on unstable D-branes. Despite the fact that the string field theory action contains infinite number of time…

High Energy Physics - Theory · Physics 2009-11-07 Ashoke Sen

We present a new class of non-singular string cosmologies in d space-time dimensions. At very early times, \tau << \tau_c, the Universe is described by a flat \sigma-model metric, a constant maximal temperature T_c and super-weak string…

High Energy Physics - Theory · Physics 2015-06-03 Costas Kounnas , Herve Partouche , Nicolaos Toumbas

Brane gas cosmology is a scenario inspired by string theory which proposes a simple resolution to the initial singularity problem and gives a dynamical explanation for the number of spatial dimensions of our universe. In this work we have…

High Energy Physics - Theory · Physics 2009-11-10 Antonio Campos