2009/03/31 by Valeri P. Frolov, Andrey A. Shoom · 12 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Black string #Charge (physics) #Charged black hole #Classical mechanics #Computer science #Diagram #Electric charge #Extremal black hole #Instability #Mathematics #Phase (matter) #Phase diagram #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #String (physics) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.79.104002
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 79(10) (American Physical Society) · 8 pages, 2 figures; Some minor changes in the text. Added references
arxiv created 2009/04/17 · openalex publication_date 2009/05/01 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the Gregory-Laflamme instability of 5D compactified, electrically charged black strings. We consider static, linear perturbations of these solutions and derive a master equation for these perturbations. Using numerical analysis we search for the threshold unstable modes and derive the critical wavelength. The results are illustrated in the black string mass vs electric charge phase diagram. A similar diagram is constructed using the global thermodynamic equilibrium argument applied to the charged string and 5D electrically charged black hole. The results derived illustrate that an electric charge makes the black string less stable.