Phase structure of fuzzy black holes
S. Digal, T. R. Govindarajan, Kumar S. Gupta, X. Martin

TL;DR
This paper investigates noncommutative deformations of BTZ black holes, revealing novel stable stripe phases in scalar fields due to topological effects, expanding understanding of black hole physics in noncommutative geometry.
Contribution
It introduces and analyzes the existence of stable stripe phases in scalar fields around noncommutative BTZ black holes, highlighting topological stability.
Findings
Existence of stable stripe phases in noncommutative black hole backgrounds
Analytical and numerical confirmation of stripe phase stability
Distinct from stripe formations on Moyal spaces
Abstract
Noncommutative deformations of the BTZ blackholes are described by noncommutative cylinders. We study the scalar fields in this background. The spectrum is studied analytically and through numerical simulations we establish the existence of novel `stripe phases'. These are different from stripes on Moyal spaces and stable due to topological obstruction.
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