Contributed Talk - Splinter Compact
Spin fluid supported stationary torus around Schwarzschild black hole
Sayantani Lahiri, Claus Lämmerzahl
ZARM, Center Of Applied Space Technology And Microgravity, Universität Bremen
We consider an ideal neutral spin fluid to describe a stationary, non-self-gravitating, geometrically thick torus in equilibrium situated around a black hole. By assuming spin as a classical quantity, we consider the Weyssenhoff ideal spin fluid to describe the torus configuration. The spin fluid within the torus undergoes circular orbital motion around the stationary, axisymmetric black hole. Further assuming a barotropic equation of state and a constant specific angular momentum distribution characterizing the torus, intrgrability conditions of the general relativistic momentum conservation equation are presented. As an application of formalism, we have constructed stationary models of the torus by assuming the torus is located in Schwarzschild spacetime. By examining different spin functions, it is observed that the morphology of the torus gets significantly modified under the influences of the coupling of the spin tensor and the curvature of the Schwarzschild black hole.