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Black strings, one class of higher dimensional analogues of black holes, were shown to be unstable to long wavelength perturbations by Gregory and Laflamme in 1992, via a linear analysis. We revisit the problem through numerical solution of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. W. Choptuik , L. Lehner , I. Olabarrieta , R. Petryk , F. Pretorius , H. Villegas

In flat space-time, sigma-model strings and textures are both unstable to collapse and subsequent decay. With sufficient cosmological expansion, however, they are stable in a generalized sense: a small perturbation will cause them to change…

General Relativity and Quantum Cosmology · Physics 2010-04-06 R. S. Ward

We study the gravitational collapse of a rotating cylindrical null shell with flat interior and the metric of a spinning cosmic string as the exterior. We see that there is a critical radius, where the energy density of the shell vanishes…

General Relativity and Quantum Cosmology · Physics 2015-05-30 S. Khakshournia

We study the stability of supersymmetry breaking vacuum in the presence of cosmic strings arising in the messenger sector. For certain ranges of the couplings, the desired supersymmetry breaking vacua become unstable against decay into…

High Energy Physics - Theory · Physics 2009-11-06 Brijesh Kumar , Urjit A. Yajnik

The stability properties of rotating relativistic stars against prompt gravitational collapse to a black hole are rather well understood for uniformly rotating models. This is not the case for differentially rotating neutron stars, which…

General Relativity and Quantum Cosmology · Physics 2018-01-12 Lukas R. Weih , Elias R. Most , Luciano Rezzolla

Motivated by the increased interest in modeling nondissipative materials by constitutive relations more general than those from Cauchy elasticity, we initiate the study of a class of stretch-limited elastic strings: the string cannot be…

Soft Condensed Matter · Physics 2021-06-09 Casey Rodriguez

We study supersymmetry breaking by Scherk-Schwarz compactifications in type I string theory. While in the gravitational sector all mass splittings are proportional to a (large) compactification radius, supersymmetry remains unbroken for the…

High Energy Physics - Theory · Physics 2009-10-31 I. Antoniadis , E. Dudas , A. Sagnotti

In this paper, a nonlinear axially moving string with the Kelvin-Voigt damping is considered. It is proved that the string is stable, i.e., its transversal displacement converges to zero when the axial speed of the string is less than a…

Analysis of PDEs · Mathematics 2007-10-04 Shahram M. Shahruz

The properties of a stationary massive string endowed with intrinsic angular momentum are investigated. The spacetime is generated by an "improper" time translation combined with uniform rotation. The mass per unit length of the string is…

High Energy Physics - Theory · Physics 2008-11-26 Hristu Culetu

This paper is concerned with the global stability of the plane wave solutions to the relativistic string equation with non-small perturbations. Under certain decay assumptions on the plane wave, we conclude that the perturbed system admits…

Analysis of PDEs · Mathematics 2023-11-27 Jinhua Wang , Changhua Wei

Most of the massive states in superstring theory are expected to undergo mass renormalization at one loop order. Typically these corrections should contain imaginary parts, indicating that the states are unstable against decay into lighter…

High Energy Physics - Theory · Physics 2016-07-25 Ashoke Sen

Given the significance of physical measures in understanding the complexity of dynamical systems as well as the noisy nature of real-world systems, investigating the stability of physical measures under noise perturbations is undoubtedly a…

Dynamical Systems · Mathematics 2025-06-24 Weiwei Qi , Zhongwei Shen , Yingfei Yi

In the present paper we consider convection and cracking instabilities as well as their interplay. We develop a simple criterion to identify equations of state unstable to convection, and explore the influence of buoyancy on cracking (or…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Héctor Hernández , Luis A. Núñez , Adriana Vásquez-Ramírez

We show that there exist massive perturbative states of the ten dimensional Green-Schwarz closed superstring that are stabilized against collapse due to presence of fermionic zero modes on its worldsheet. The excited fermionic degrees of…

High Energy Physics - Theory · Physics 2009-11-11 Jose J. Blanco-Pillado , Alberto Iglesias

We explore via linearized perturbation theory the Gregory-Laflamme instability of rotating black strings with equal magnitude angular momenta. Our results indicate that the Gregory-Laflamme instability persists up to extremality for all…

High Energy Physics - Theory · Physics 2009-11-13 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

We investigate the stability against small deformations of strings dangling into AdS_5-Schwarzschild from a moving heavy quark-anti-quark pair. We speculate that emission of massive string states may be an important part of the evolution of…

High Energy Physics - Theory · Physics 2010-10-27 Joshua J. Friess , Steven S. Gubser , Georgios Michalogiorgakis , Silviu S. Pufu

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd…

High Energy Physics - Theory · Physics 2009-05-29 Hari K. Kunduri , James Lucietti , Harvey S. Reall

We investigate the effect of superradiant scattering of gravitational perturbations on the stability of rotating black strings, focusing on the six dimensional equal-spinning Myers-Perry black string. We find that rapidly rotating black…

General Relativity and Quantum Cosmology · Physics 2023-08-07 Oscar J. C. Dias , Takaaki Ishii , Keiju Murata , Jorge E. Santos , Benson Way

We construct type I string models with supersymmetry broken by compactification that are non-tachyonic and have exponentially small effective potential at one-loop. All open string moduli can be stabilized, while the closed string moduli…

High Energy Physics - Theory · Physics 2020-01-08 Steven Abel , Emilian Dudas , Daniel Lewis , Herve Partouche

We investigate the connection between curved spacetime and the emergence of string-instabilities, following the approach developed by Loust\'{o} and S\'{a}nchez for de Sitter and black hole spacetimes. We analyse the linearised equations…

High Energy Physics - Theory · Physics 2009-10-22 A. L. Larsen