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The effects of generalized uncertainty principle on accretion disk of the Schwarzschild black hole

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Abstract

We investigate the effects of generalized uncertainty principle (GUP) which admits both minimal measurable length and maximal observable momentum, to accretion on Schwarzschild black hole. We study steady, spherical accretion onto a static and spherically symmetric GUP modified Schwarzschild black hole. In this GUP framework, we examine the possible positions of critical points and obtain the general conditions for them. For two cases including below the critical radius and at the event horizon, we gain the generalized exact equations of matter density compression and temperature profile. Finally, for polytropic matter, the modified temperature and the integrated flux at the event horizon are derived in the context of the minimal measurable length and the maximal observable momentum which could shed light to test asymptotically safe scenarios.

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Authors and Affiliations

  1. Center for Theoretical Physics, College of Physical Science and Technology, Sichuan University, 610065, Chengdu, People’s Republic of China

    Homa Shababi

  2. Physics Department, Faculty of Science, Benha University, 13518, Benha, Egypt

    Mohamed Moussa

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  1. Homa Shababi
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  2. Mohamed Moussa
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Correspondence to Homa Shababi.

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Shababi, H., Moussa, M. The effects of generalized uncertainty principle on accretion disk of the Schwarzschild black hole. Int J Theor Phys 61, 205 (2022). https://doi.org/10.1007/s10773-022-05193-9

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  • DOI: https://doi.org/10.1007/s10773-022-05193-9

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