Volume 133, Number 3, February 2021
|Number of page(s)||7|
|Published online||30 March 2021|
Effect of the modified Heisenberg algebra on the black hole thermodynamics
1 Département de TC de SNV, Université Hassiba Benbouali - Chlef, Algeria
2 Department of Physics, University of Hradec Králové - Rokitanského 62, 500 03 Hradec Králové, Czechia
3 Department of Physics, Akdeniz University - Campus 07058 Antalya, Turkey
Received: 3 November 2020
Accepted: 8 January 2021
In this letter, we introduce two new forms of uncertainty relations by extending the usual Heisenberg algebra with higher terms. Within these scenarios, at first, we study the Unruh temperature. We find that the Unruh temperature increases in one of the new forms while it decreases in the other form. Next, we explore the thermodynamic properties of a Schwarzschild black hole by relying on these two new forms of the Heisenberg uncertainty relation. We present the modifications in the mass-temperature, specific heat, and entropy functions of the black hole according to the extension parameters.
PACS: 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 04.70.-s – Physics of black holes / 04.70.Bw – Classical black holes
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