Accretion onto a noncommutative geometry inspired black hole

Abstract The spherically symmetric accretion onto a noncommutative (NC) inspired Schwarzschild black hole is treated for a polytropic fluid. The critical accretion rate $$\dot{M}$$ M ˙ , sonic speed $$a_s$$ a s and other flow parameters are generalized for the NC inspired static black hole and compa...

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Main Authors: Rahul Kumar, Sushant G. Ghosh
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5141-x
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author Rahul Kumar
Sushant G. Ghosh
author_facet Rahul Kumar
Sushant G. Ghosh
author_sort Rahul Kumar
collection DOAJ
description Abstract The spherically symmetric accretion onto a noncommutative (NC) inspired Schwarzschild black hole is treated for a polytropic fluid. The critical accretion rate $$\dot{M}$$ M ˙ , sonic speed $$a_s$$ 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 $$ \dot{M} \approx {M^2}$$ M ˙ ≈ M 2 is still achievable but $$r_s$$ r s seems to be substantially decreased due to the NC effects. They in turn do affect the accretion process.
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spelling doaj.art-3ec84a212c0a437d8a3dc4c0192c84f52022-12-22T01:02:20ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-09-0177911010.1140/epjc/s10052-017-5141-xAccretion onto a noncommutative geometry inspired black holeRahul Kumar0Sushant G. Ghosh1Centre for Theoretical Physics, Jamia Millia IslamiaCentre for Theoretical Physics, Jamia Millia IslamiaAbstract The spherically symmetric accretion onto a noncommutative (NC) inspired Schwarzschild black hole is treated for a polytropic fluid. The critical accretion rate $$\dot{M}$$ M ˙ , sonic speed $$a_s$$ 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 $$ \dot{M} \approx {M^2}$$ M ˙ ≈ M 2 is still achievable but $$r_s$$ r s seems to be substantially decreased due to the NC effects. They in turn do affect the accretion process.http://link.springer.com/article/10.1140/epjc/s10052-017-5141-x
spellingShingle Rahul Kumar
Sushant G. Ghosh
Accretion onto a noncommutative geometry inspired black hole
European Physical Journal C: Particles and Fields
title Accretion onto a noncommutative geometry inspired black hole
title_full Accretion onto a noncommutative geometry inspired black hole
title_fullStr Accretion onto a noncommutative geometry inspired black hole
title_full_unstemmed Accretion onto a noncommutative geometry inspired black hole
title_short Accretion onto a noncommutative geometry inspired black hole
title_sort accretion onto a noncommutative geometry inspired black hole
url http://link.springer.com/article/10.1140/epjc/s10052-017-5141-x
work_keys_str_mv AT rahulkumar accretionontoanoncommutativegeometryinspiredblackhole
AT sushantgghosh accretionontoanoncommutativegeometryinspiredblackhole