| Name: | Arpan Krishna Mitra |
| Affiliation: | Aryabhatta Research Institute of Observational Sciences |
| Conference ID : | ASI2024_696 |
| Title : | Spinning Black Hole in a Fluid? |
| Authors : | Deeshani Mitra, Surojit Dalui, Subir Ghosh, Arpan Krishna Mitra
|
| Authors Affiliation: | Deeshani Mitra, Subir Ghosh (Indian Statistical Institute, 203, Barrackpore Trunk Road, Kolkata 700108, India)
Surojit Dalui (Department of Physics, Shanghai University, 99 Shangda Road, Baoshan District, Shanghai 200444, People Republic of China.)
Arpan Krishna Mitra (Aryabhatta Research Institute of Observational Sciences (ARIES),\\ Manora Peak Nainital - 263001, Uttarakhand, India.) |
| Mode of Presentation: | Poster |
| Abstract Category : | High Energy Phenomena, Fundamental Physics and Astronomy |
| Abstract : | In our present work, we propose a new Analogue Gravity example - a spinning (or Kerr) Black Hole in an extended fluid model; the latter was derived in an earlier work \cite{mitra2021} by two of the present authors. The fluid model receives Berry curvature contributions and applies to electron dynamics in Condensed Matter lattice systems in the hydrodynamic limit. We construct the acoustic metric for sonic fluctuations that obey a structurally relativistic wave equation in an effective curved background. In a novel approach of dimensional analysis, we have derived explicit expressions for effective mass and angular momentum per unit mass in the acoustic metric (in terms of fluid parameters), to identify with corresponding parameters of the Kerr metric. The spin is a manifestation of the Berry curvature-induced effective noncommutative structure in the fluid. Lastly, to interpret the physical nature of the analogue Kerr Black Hole, we plot trajectories of a test particle in this background and show the presence of an effective horizon (in the analogue Black Hole picture) in velocity space or, equivalently, the wave blocking phenomenon (in fluid dynamics perspective). |
