Tunneling and thermodynamics evolution of the magnetised ernst-like black hole. (English) Zbl 1528.83065
Summary: We investigate the tunneling phenomenon of particles through the horizon of a magnetized Ernst-like black hole. We employ the modified Lagrangian equation with the extended uncertainty principle for this black hole. We determine a tunneling rate and the related Hawking temperature for this black hole by using the WKB approach in the field equation. In addition, we examine the graph behavior of the Hawking temperature in relation to the black hole event horizon. We explore the stability analysis of this black hole by taking into account the impact of quantum gravity on Hawking temperatures. The temperature for a magnetised Ernst-like black hole rises as the correction parameter is decreased. Moreover, we analyze the thermodynamics quantities such as Hawking temperature, heat capacity and Bekenstein entropy by using the different approach. We obtain the corrected entropy to study the impact of logarithmic corrections on the different thermodynamic quantities. It is shown that these correction terms makes the system stable under thermal fluctuations.
MSC:
| 83C57 | Black holes |
| 82D40 | Statistical mechanics of magnetic materials |
| 83C45 | Quantization of the gravitational field |
| 49L12 | Hamilton-Jacobi equations in optimal control and differential games |
| 80A10 | Classical and relativistic thermodynamics |
| 65B05 | Extrapolation to the limit, deferred corrections |
| 81U26 | Tunneling in quantum theory |
| 81S07 | Uncertainty relations, also entropic |
| 94A17 | Measures of information, entropy |
Keywords:
magnetised Ernst-like black hole; quantum gravity; Hamilton-Jacobi algorithm; first order thermodynamics correctionReferences:
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