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 magnetized 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.
Gravitational wave signatures of magnetized Ernst black hole
Institute for Theoretical Physics & Cosmology, Zhejiang University of Technology（浙江工业大学理论物理与宇宙学研究所）；Institute of Fundamental and Applied Research, National Research University TIIAME（国立研究大学TIIAME基础与应用研究所）；University of Tashkent for Applied Sciences（塔什干应用科学大学）；School of Physics, Harbin Institute of Technology（哈尔滨工业大学物理学院）；Department of Physics, United Arab Emirates University（阿联酋大学物理系）
Quasinormal modes of black holes immersed in a strong magnetic field
我们发现了Ernst黑洞的准正规模，在时域和频域都是如此，即中性黑洞浸没在外部磁场中。当磁场消失时，恩斯特解简化为史瓦西解。发现磁化黑洞附近无质量标量场的拟正规谱具有有效质量$μ= 2 B m$，其中m是方位角数，B是描述磁场的参数.我们将表明，在存在一个磁场的准正规模式的寿命更长，并有较大的振荡频率。考虑了Ortaggio提出的高维磁化黑洞的微扰和Radu提出的磁化黑洞对黑洞的微扰。
