2018/03/31 by Md Arif Shaikh, Tapas K. Das, Tapas Kumar Das · 11 citations
Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Barotropic fluid #Black hole (networking) #Classical mechanics #Conservative vector field #Experimental and Theoretical Physics Studies #Gravitation #Instability #Inviscid flow #Kerr metric #Linear stability #Mechanics #Perturbation (astronomy) #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Rotating black hole #Schwarzschild radius #Spacetime #astro-ph.HE
paper · pdf · doi:10.1103/physrevd.98.123022
published in Physical review. D/Physical review. D. 98(12) (American Physical Society) · 17 pages, 3 figures, title slightly changed, matches version accepted in PRD
arxiv created 2018/12/13 · openalex publication_date 2018/12/28 · arxiv updated 2018/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
For certain geometric configurations of matter falling onto a rotating black hole, we develop a novel linear perturbation analysis scheme to perform the stability analysis of stationary integral accretion solutions corresponding to the steady state low angular momentum, inviscid, barotropic, irrotational, general relativistic accretion of hydrodynamic fluid. We demonstrate that such steady states remain stable under linear perturbation, and hence, the stationary solutions are reliable to probe the black hole spacetime using the accretion phenomena. We report that a relativistic acoustic geometry emerges out as a consequence of such a stability analysis procedure. We study various properties of that sonic geometry in detail. We construct the causal structures to establish the one to one correspondences of the sonic points with the acoustic black hole horizons and the shock location with an acoustic white hole horizon. The influence of the spin of the rotating black holes on the emergence of such acoustic spacetime has been discussed.