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GR: Fachverband Gravitation und Relativitätstheorie

GR 10: GR and Astrophysics I

GR 10.6: Vortrag

Donnerstag, 21. März 2019, 12:45–13:00, HS 4

A toy model of viscous relativistic geometrically thick disk in Schwarzschild geometry — •Sayantani Lahiri and Claus Laemmerzahl — ZARM, Universität Bremen, Am Fallturm 2, 28359 Bremen, Germany

In this work we study relativistic geometrically thick accretion disks, commonly known as Polish doughnuts in Schwarzschild spacetime, in the presence of dissipative effects generated as a consequence of differential rotation of the fluid within the disk around a given black hole. We therefore aim to study quasi-stationary solutions of the disk using causal Navier-Stokes equation proposed in Israel-Stewart formalism and later reformulated by Romatschke et al. In this work, we focus only on shear viscous effects and the bulk viscosity is not taken into consideration. The viscosity is introduced as perturbation to the ideal fluid configuration of the disk and we categorically investigate effects of both shear viscosity and curvature of the Schwarzschild black hole on the shape of the geometrically thick disk. As a simplifying assumption, the heat flow which may arise as a result of viscosity within the fluid, is assumed to be small and consequently the heat flux is neglected in our study.