Abstract Details

Name: Md Arif Shaikh
Affiliation: Harish-Chandra Research Institute
Conference ID: ASI2017_1258
Title : Emergence of relativistic sonic geometry through perturbation of matter in black hole metric
Authors and Co-Authors : Satadal Datta, Tapas K. Das, Harish-Chandra Research Institute and Ivleena Firdousi, Savitribai Phule Pune University.
Abstract Type : Poster
Abstract Category : General Relativity and Cosmology
Abstract : Using the linear perturbation scheme we show that the linear perturbation of not only velocity potential but also that of the mass accretion rate and the relativistic Bernoulli's constant for general relativistic accretion governed by different thermodynamic equation of state lead to the emergence of embedded curved sonic manifold. We work in both Schwarzschild metric (where we considered both the spherical flow and axisymmetric flow) as well as Kerr metric (where the flow is axisymmetric) to demonstrate the same. Except the conformal factors, the relativistic acoustic geometry remains same irrespective of the physical quantity getting perturbed. The acoustic Reimann curvature is computed obtaining the expression of the line element from the metric element. The acoustic surface gravity which is a measure of the analogue Hawking Temperature has been computed in terms of the accretion variables corresponding to the stationary integrals solutions.