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Study of thermal fluctuations in five-dimensional rotating regular black hole
Institution:1. National University of Computer and Emerging Sciences, Islamabad, Chiniot-Faisalabad Campus, Pakistan;2. National University of Computer and Emerging Sciences, Islamabad, Lahore Campus, Pakistan;3. Department of Mathematics, Shanghai University, Shanghai, Shanghai, 200444, People’s Republic of China;1. Department of Applied Mathematics, Northwestern Polytechnical University, Xian, 710072, China;2. Department of Mathematics, GITAM Bengaluru, Karnataka, 562163, India;3. School of Energy and Power, Xian Jiaotong University, No. 28, Xianning West Road, Xian 710049, China;4. School of Aerospace and Mechanical Engineering, Nanyang Technological University, Singapore;5. Department of Mathematics, Government College University Faislabad, Punjab, Pakistan;1. School of Physics and Optoelectronic Engineering, Ludong University, Yantai 264025, PRChina;2. Hunan Key Laboratory for High-Microstructure and Ultrafast Process, College of Physics and Electronics, Central South University, Changsha 410083, PR China;1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;2. Department of Mathematical Sciences Federal Urdu University of Arts, Sciences & Technology, Islamabad 44000, Pakistan;1. Department of Mathematical and Physical Sciences, College of Arts and Science, University of Nizwa, Nizwa, Sultanate of Oman;2. Department of Physics, National Defence Academy, Khadakwasla, Pune 411023, India;3. Department of Physics, Government College of Engineering and Ceramic Technology, Kolkata 700010, West Bengal, India
Abstract:In this paper, we discuss the effects of thermal fluctuations on thermodynamics of rotating regular black hole in five-dimensional spacetime. We first evaluate thermodynamic quantities such as Hawking temperature, entropy, angular velocity and electric potential of the considered model. To discuss the effects of thermal fluctuations, we compute the logarithmic correction terms to entropy around the equilibrium state. We also check the validity of the first law of thermodynamics in the presence of these correction terms. Finally, we determine stability of the system through specific heat and Hessian matrix. It is concluded that logarithmic corrections originated from thermal fluctuations yield a stable model.
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