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  • Letter
  • Open Access

Gravitational instabilities of uniform black strings in AdS space

Aditya Dhumuntarao* and Rafid Mahbub†

  • School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA

  • *dhumu002@umn.edu
  • †mahbu004@umn.edu
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Phys. Rev. D 105, L041501 – Published 3 February, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L041501

Abstract

Locally AdSd−1×R uniform black strings (UBS) in the presence of a massless scalar field are believed to avoid the onset of the Gregory-Laflamme (GL) instability in d≥4 as no tachyonic modes exist in the spectrum of the Laplace-Beltrami operator. We present analytic and numerical evidence of GL modes in the Lichnerowicz spectrum indicating that AdSd−1 UBSs are classically and thermodynamically unstable at the linear level in d>4. In d=4, we confirm that uniform BTZ3 strings are indeed stable as previously suggested. This supports that linear instabilities of black strings are triggered only if tachyonic modes exist in the Lichnerowicz spectrum. At the end state of the instability, AdSd−1 UBSs of finite length may tunnel to a SAdSd black hole or converge onto a novel nonuniform AdSd black string. We conjecture that weak cosmic censorship is violated if the nonuniform solution is an exact AdSd black funnel and compute entropy estimates in d>4 as evidence.

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Outline

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Phys. Rev. D 105, L041501– Published 3 February, 2022
  • Received 27 October 2021
  • Accepted 2 January 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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