2012/05/31 by Roberto Emparan, Marina Martinez, Marina Martınez · 14 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Black brane #Brane #Brane cosmology #Critical exponent #Critical phenomena #Critical radius #Criticality #Instability #Quantum Electrodynamics and Casimir Effect #Rigidity (electromagnetism) #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep07(2012)120
published in Journal of High Energy Physics 2012(7) (Springer Nature) · 23 pages, 3 figures. v2: added comments on first-order phase transition
openalex publication_date 2012/07/01 · arxiv created 2012/07/17 · openalex created_date 2016/06/24 · arxiv updated 2017/08/23 · openalex updated_date 2026/08/05
We study the effective hydrodynamics of neutral black branes enclosed in a finite cylindrical cavity with Dirichlet boundary conditions. We focus on how the Gregory-Laflamme instability changes as we vary the cavity radius R. Fixing the metric at the cavity wall increases the rigidity of the black brane by hindering gradients of the redshift on the wall. In the effective fluid, this is reflected in the growth of the squared speed of sound. As a consequence, when the cavity is smaller than a critical radius the black brane becomes dynamically stable. The correlation with the change in thermodynamic stability is transparent in our approach. We compute the bulk and shear viscosities of the black brane and find that they do not run with R. We find mean-field theory critical exponents near the critical point.