English

Accretion onto a noncommutative geometry inspired black hole

General Relativity and Quantum Cosmology 2017-09-21 v4

Abstract

The spherically symmetric accretion onto a noncommutative (NC) inspired Schwarzschild black hole is treated for a polytropic fluid. The critical accretion rate M˙\dot{M}, sonic speed asa_s and other flow parameters are generalised for the NC inspired black hole and compared with the results obtained for the standard Schwarzschild black holes. We also derive explicit expressions for gas compression ratios and temperature profiles below the accretion radius and at the event horizon. This analysis is a generalisation of Michel's solution to the NC geometry. Owing to the NC corrected black hole, the accretion flow parameters have also been modified. It turns out that M˙M2 \dot{M} \approx {M^2} is still achievable but rsr_s seems to be substantially decreased due to NC effects, that in turn does affect the accretion process.

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Cite

@article{arxiv.1703.10479,
  title  = {Accretion onto a noncommutative geometry inspired black hole},
  author = {Rahul Kumar and Sushant G. Ghosh},
  journal= {arXiv preprint arXiv:1703.10479},
  year   = {2017}
}

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Published in EPJC

R2 v1 2026-06-22T19:02:17.435Z