General Polytropic Dynamic Collapses/Outflows under Self-gravity: from Hypermassive Black Holes to Brown Dwarfs and Gaseous Planets
Abstract: We present theoretical formulations of spherical hydrodynamics and quasi-spherical magnetohydrodynamics (MHD) for general polytropic fluids under self-gravity. We demonstrate basic features and properties of various nonlinear self-similar dynamic solutions including possible expanding and converging shocks. Important astrophysical applications include: Hypermassive Black Holes of 10 to 1000 billion solar masses in the Universe, M - sigma and M - bulge mass relations for Supermassive Black Holes in galactic bulges and elliptical galaxies, Intermediate Mass Black Holes in globular clusters, converging and rebound shocks during supernova explosions, hyperintense magnetic fields of magnetars, forming stars in magnetized molecular cloud cores, forming brown dwarfs and gaseous planets in magnetized mini gas globules. Stability analyses are also performed; unstable internal gravity modes and vorticity modes are particularly highlighted in contexts of collapsing core convection and turbulence as well as for gravitational wave emissions.
Time: Feb. 11, 2015, 2:30 pm
Venue: A601, NAOC