Phases and stability of non-uniform black strings

  • Roberto Emparan
  • Raimon Luna
  • Marina Martínez
  • Ryotaku Suzuki
  • Kentaro Tanabe
Open Access
Regular Article - Theoretical Physics
  • 19 Downloads

Abstract

We construct solutions of non-uniform black strings in dimensions from D ≈ 9 all the way up to D = ∞, and investigate their thermodynamics and dynamical stability. Our approach employs the large-D perturbative expansion beyond the leading order, including corrections up to 1/D4. Combining both analytical techniques and relatively simple numerical solution of ODEs, we map out the ranges of parameters in which non-uniform black strings exist in each dimension and compute their thermodynamics and quasinormal modes with accuracy. We establish with very good precision the existence of Sorkin’s critical dimension and we prove that not only the thermodynamic stability, but also the dynamic stability of the solutions changes at it.

Keywords

Black Holes Black Holes in String Theory 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Supplementary material

13130_2018_8255_MOESM1_ESM.zip (271 kb)
ESM 1 (ZIP 271 kb)

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Institució Catalana de Recerca i Estudis Avançats (ICREA)BarcelonaSpain
  2. 2.Departament de Física Quàntica i Astrofísica, Institut de Ciències del CosmosUniversitat de BarcelonaBarcelonaSpain
  3. 3.Institute for Theoretical PhysicsKU LeuvenLeuvenBelgium
  4. 4.Department of PhysicsOsaka City UniversityOsakaJapan
  5. 5.Department of PhysicsRikkyo UniversityTokyoJapan

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