Abstract
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.
Highlights
The aim of this work is to explicitly bring out the NC geometrical effects on the spherically symmetric accretion onto Schwarzschild black holes
It is well known that the accretion process is a powerful indicator of the physical nature of the central celestial objects, which means that the analysis of the accretion around the nonrotating NC inspired black hole can help us to understand the regime where general relativity breaks down
We study the effect of the NC geometry upon spherically symmetric accretion onto a NC geometry inspired Schwarzschild black hole
Summary
The aim of this work is to explicitly bring out the NC geometrical effects on the spherically symmetric accretion onto Schwarzschild black holes. The black hole temperature (TH ≈ 1/M) diverges in the last stage of the evaporation process, that is, TH → ∞ as M → 0. Where θ μν is an anti-symmetric real matrix which determines the discretization of the spacetime This commutator leads toward the resulting uncertainty relation in the quantum gravity regime, xμ xν ≥ 1 |θ μν |. It may be noted that a study of the NC geometry inspired black hole is very important as it cures the usual problem encountered in the terminal phase of the classical black hole evaporation. We study the effect of the NC geometry upon spherically symmetric accretion onto a NC geometry inspired Schwarzschild black hole. 3 the analytic relativistic accretion onto a NC inspired Schwarzschild black hole model is appropriately developed.
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