Phases and stability of non-uniform black strings
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.
KeywordsBlack Holes Black Holes in String Theory
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.
- G.T. Horowitz ed., Black holes in higher dimensions, Cambridge University Press (2012).Google Scholar
- M. Kalisch and M. Ansorg, Highly Deformed Non-uniform Black Strings in Six Dimensions, in proceedings of 14th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories (MG14), 4 volumes, Rome, Italy, July 12-18, 2015, vol. 2, pp. 1799-1804 (2017) [ https://doi.org/10.1142/9789813226609 0185] [arXiv:1509.03083] [INSPIRE].