Phases and Stability of Non-Uniform Black Strings

Feb 22, 2018
39 pages
Published in:
  • JHEP 05 (2018) 104
  • Published: May 16, 2018
e-Print:
Report number:
  • AP-GR-143,
  • OCU-PHYS-475

Citations per year

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Abstract: (Springer)
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^{4}. 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.
Note:
  • 39 pages, 32 figures. v2: Improved interpretation of the time evolution results. Added references and acknowledgments. 36 pages, 29 figures. v3: matches published version. v4: Corrected the large-D perturbative results in figs.5, 6, 7
  • Black Holes
  • Black Holes in String Theory
  • stability: thermodynamical
  • solution: stability
  • string: mass
  • dimension: 2
  • black string
  • thermodynamics
  • numerical calculations
  • quasinormal mode