https://doi.org/10.1140/epjp/s13360-023-03983-6
Regular Article
Hawking radiation of Euler–Heisenberg-adS black hole under the GUP effect
1
Department of Physics, Faculty of Sciences, Akdeniz University, Antalya, Turkey
2
Department of Astronomy and Space Sciences, Faculty of Science, Ataturk University, Erzurum, Turkey
Received:
28
December
2022
Accepted:
13
April
2023
Published online:
29
April
2023
We study Hawking radiation produced by charged Klein–Gordon and Dirac particles as tunneling from the event horizon of the Euler-Heisenberg-anti de Sitter black hole in the presence of a generalized uncertainty effect. To obtain modified Hawking temperature we use semi-classical versions of charged Klein–Gordon and Dirac equations. We review the general properties of the black hole and its standard thermodynamics elaborately. We discuss the problem of the formation of a residual mass at a finite temperature that arises in this black hole where the volume shrinking terminates even if the Hawking radiation continues at a constant rate. We find that the first-order correction of the generalized uncertainty principle to the Klein–Gordon and Dirac equations cannot be able to solve this problem. Apart from this fact, we interpret the modified thermodynamics of the black hole from another point of view under the generalized uncertainty principle effect. We model the charge/mass ratio ![$$Q/M\in [0.612,0.729]$$](/articles/epjplus/abs/2023/04/13360_2023_Article_3983/13360_2023_Article_3983_tex_eq1.png)
and then calculate the standard critical Hawking temperature of Sgr A* ![$$T_H\in [27,24]$$](/articles/epjplus/abs/2023/04/13360_2023_Article_3983/13360_2023_Article_3983_tex_eq2.png)
fK for the Euler–Heisenberg parameter ![$$a/Q^2\in [0,32/7]$$](/articles/epjplus/abs/2023/04/13360_2023_Article_3983/13360_2023_Article_3983_tex_eq3.png)
. Improved upper limits under the GUP corrections are 
, 
fK for the KG particle and 
, 
fK for the Dirac particle.
Mustafa Dernek, Cavit Tekincay, Ganim Gecim, Yusuf Kucukakca and Yusuf Sucu have contributed equally to this work.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
