2018/04/09 by M. Chabab, H. El Moumni, S. Iraoui +2 · 2 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #CHAOS (operating system) #Chaotic #Classical mechanics #Computer science #Context (archaeology) #Control of chaos #Control theory (sociology) #Cosmology and Gravitation Theories #Phase (matter) #Phase space #Physics #Quantum mechanics #Space (punctuation) #Spinodal #Statistical physics #Synchronization of chaos #Theoretical physics #hep-th #nlin.CD
paper · pdf · doi:10.1016/j.physletb.2018.04.014
6 pages, 5 figures, accepted in Phys. Lets. B
openalex publication_date 2018/04/09 · arxiv created 2018/04/11 · arxiv updated 2018/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present an analytical study of chaos in a charged black hole in the extended phase space in the context of the Poincare–Melnikov theory. Along with some background on dynamical systems, we compute the relevant Melnikov function and find its zeros. Then we analyse these zeros either to identify the temporal chaos in the spinodal region, or to observe spatial chaos in the small/large black hole equilibrium configuration. As a byproduct, we derive a constraint on the Black hole' charge required to produce chaotic behaviour. To the best of our knowledge, this is the first endeavour to understand the correlation between chaos and phase picture in black holes.