2018/02/04 by Hosein Mohammadzadeh, Maryam Rastkar, Mohammadzadeh, Hosein +4
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.48550/arxiv.1802.01084
17 pages, 6 figures
openalex publication_date 2018/02/04 · arxiv created 2018/04/02 · arxiv updated 2018/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct the thermodynamic geometry of 2+1 dimensional normal (exotic) BTZ black hole regarding to the fluctuation of cosmological constant. We argue that while the thermodynamic geometry of black hole without fluctuation of cosmological constant is a two dimensional flat spaces, the three dimensional thermodynamics parameters space including the cosmological constant as a fluctuating parameter will be curved. Some consequence of the fluctuation of cosmological constant will be investigated. We show that such fluctuation leads to a thermodynamics curvature which is correctly singular at critical surface of the system. Also, we consider the validity of first thermodynamics law regarding to the fluctuation of cosmological constant.