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The perturbative modes propagating along an infinite string are investigated within the framework of the gauge invariant perturbation formalism on a spacetime containing a self-gravitating straight string with a finite thickness. These…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kouji Nakamura , Hideki Ishihara

We reprove the $\lambda$-Lemma for finite dimensional gradient flows by generalizing the well-known contraction method proof of the local (un)stable manifold theorem. This only relies on the forward Cauchy problem. We obtain a rather…

Dynamical Systems · Mathematics 2017-09-25 Joa Weber

We compute the dynamical friction on a small perturber moving through an inviscid fluid, i.e., a superfluid. Crucially, we account for the tachyonic gravitational mass for sound waves, reminiscent of the Jeans instability of the fluid,…

High Energy Physics - Phenomenology · Physics 2019-11-06 Lasha Berezhiani , Benjamin Elder , Justin Khoury

We give a variational formulation of perfect fluids on a general pseudoriemannian manifold by variating tangent fields according the flux produced by them. In this approach no constraints are needed. As a result, Euler and continuity…

General Relativity and Quantum Cosmology · Physics 2018-03-26 Ricardo Alonso-Blanco , Jesús Muñoz-Díaz

The coupling of a stringlike fluid with ordinary matter and gravity may lead to a closed Universe with the dynamic of an open one. This can provide an alternative solution for the age and horizon problems. A study of density perturbations…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. C. Fabris , S. V. B. Goncalves

We are interested in studying an unsteady fluid-structure interaction problem in a three-dimensional space. We consider a homogeneous Newtonian fluid which is modeled by the Navier-Stokes equations. Whereas the motion of the structure is…

Analysis of PDEs · Mathematics 2019-10-14 Fatima Abbas , Ayman Mourad

We analyze the space-time structure of local gauge string with a phenomenological energy momentum tensor, as prescribed by Vilenkin in an arbitrary number of space-time dimensions with a non-zero cosmological constant >. A set of solutions…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. Rahaman , B. C. Bhui , M. Kalam

We study string theory in three-dimensional Anti-de Sitter spacetime in the path integral formalism. We derive expressions for generic spectrally-flowed near-boundary vertex operators in the Wakimoto representation, and relate their…

High Energy Physics - Theory · Physics 2023-12-15 Bob Knighton , Sean Seet , Vit Sriprachyakul

In this work, we investigate the asymmetric Bingham fluid equations. The asymmetric fluid of Bingham includes symmetric and antisymmetric stresses with such stresses appearing as an elastic response to the micro-rotational deformations of…

Analysis of PDEs · Mathematics 2018-11-20 Anderson L. A. de Araujo , Nikolai V. Chemetov , Marcelo M. Santos

Starting from the linear sigma model with constituent quarks we derive the chiral fluid dynamics where hydrodynamic equations for the quark fluid are coupled to the equation of motion for the order-parameter field. In a static system at…

Nuclear Theory · Physics 2015-06-18 Igor N. Mishustin , Tomoi Koide , Gabriel S. Denicol , Giorgio Torrieri

In this paper we derive some new invariant solutions of Einstein-Maxwell's field equations for string fluid as source of matter in cylindrically symmetric space-time with Variable Magnetic Permeability. We also discuss the physical and…

General Relativity and Quantum Cosmology · Physics 2015-01-09 Ahmad T. Ali , Anil Kumar Yadav , Farook Rahaman , Arkopriya Mallick

Recent progress on string theory in curved spacetimes is reviewed. The string dynamics in cosmological and black hole spacetimes is investigated.The methods to solve the string equations of motion in curved spacetimes are described.That is,…

High Energy Physics - Theory · Physics 2007-05-23 H. J. de Vega , N. sánchez

In recent work, Dabholkar {\it et al.} constructed static ``cosmic string" solutions of the low-energy supergravity equations of the heterotic string, and conjectured that these solitons are actually exterior solutions for infinitely long…

High Energy Physics - Theory · Physics 2009-10-22 Ramzi R. Khuri

Flow-based architectures have recently proved to be an efficient tool for numerical simulations of Effective String Theories regularized on the lattice that otherwise cannot be efficiently sampled by standard Monte Carlo methods. In this…

High Energy Physics - Lattice · Physics 2025-02-18 Michele Caselle , Elia Cellini , Alessandro Nada

We study the immersed boundary problem in 2-D. It models a 1-D elastic closed string immersed and moving in a fluid that fills the entire plane, where the fluid motion is governed by the 2-D incompressible Navier-Stokes equation with a…

Analysis of PDEs · Mathematics 2025-12-17 Jiajun Tong , Dongyi Wei

We combine techniques from kinetic theory and string dualities to couple statistical matter to a non-relativistic (NR) supergravity background, enabling the theory to be formulated in a T-duality invariant form. Similarly to the…

High Energy Physics - Theory · Physics 2024-08-29 Eric Lescano

In this paper, we study non-Newtonian fluids in a class of unbounded domains with noncompact boundaries. With respect to the resulting mathematical problems, we establish the global existence of solutions with arbitrary large flux under…

Analysis of PDEs · Mathematics 2016-11-24 Jiaqi Yang , Huicheng Yin

We study the dynamics of strings by means of a distribution function f(A, B, x, t) defined on a 9+1D phase space, where A and B are the correlation vectors of right- and left-moving waves. We derive a transport equation (an analogous to…

High Energy Physics - Theory · Physics 2011-06-07 Vitaly Vanchurin

In this paper we prove the existence and uniqueness of a solution to the nonstationary two dimensional system of equations describing miscible liquids with nonsmooth, multivalued and nonmonotone boundary conditions of subdifferential type.…

Mathematical Physics · Physics 2019-01-28 Paweł Szafraniec , Stanisław Migórski

We study the continuum limit of the string-like behaviour of flux tubes formed between static quarks and anti-quarks in three dimensional SU(2) lattice gauge theory. We compare our simulation data with the predictions of both effective…

High Energy Physics - Lattice · Physics 2008-11-26 N. D. Hari Dass , Pushan Majumdar
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