Michel accretion onto a non-commutative black hole

Abstract

The matter accretion onto a noncommutative (NC) inspired Schwarzschild black hole is addressed for a polytropic fluid and results are compared with Schwarzschild black hole. The flow parameters - critical velocity u(r), sonic speed cs2 and accretion rate M˙ are derived from the NC static black hole and are related to the outcomes acquired for the standard Schwarzschild black hole. Due to the effect of noncommutative parameter θ, the mass accretion rate decreases with the increase of the strength of θ and vice versa. The same effect is seen for the sound speed and fluid velocity. The fluid velocity is positive as well as negative for the NC black hole corresponding to Schwarzschild black hole. The role performed by θ is significant in order to acquire the lager accretion rate for NC black hole than the Schwarzschild black hole.