Accretion onto a noncommutative geometry inspired black hole

The spherically symmetric accretion onto a noncommutative (NC) inspired Schwarzschild black hole is treated for a polytropic fluid. The critical accretion rate $$\dot{M}$$ , sonic speed $$a_s$$ and other flow parameters are generalized for the NC inspired static black hole and compared with the results obtained for the standard Schwarzschild black holes. Also explicit expressions for gas compression ratios and temperature profiles below the accretion radius and at the event horizon are derived. This analysis is a generalization of Michel’s solution to the NC geometry. Owing to the NC corrected black hole, the accretion flow parameters also have been modified. It turns out that $$ \dot{M} \approx {M^2}$$ is still achievable but $$r_s$$ seems to be substantially decreased due to the NC effects. They in turn do affect the accretion process.

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