Thermodynamic product formulae for Finslerian Kiselev black hole

The main goal of this paper is to solve the Finslerian Kiselev black hole and investigate its thermodynamic characteristics surrounded by dust, radiation, quintessence, and the cosmological constant. Since these black holes have multiple horizons, thus we calculate thermodynamic quantities, including area, horizon radius, Bekenstein-Hawking entropy, Hawking temperature, surface gravity, and Komar energy products. In addition, we study all universal relations of these black holes and discuss the role and effect of the Finslerian Ricci scalar (q) on Finslerian Kiselev black holes and their stability.

Automated summary

The main goal of this paper is to solve the Finslerian Kiselev black hole and investigate its thermodynamic characteristics surrounded by dust, radiation, quintessence, and the cosmological constant. Various thermodynamic quantities are calculated to analyze the features of these black holes, including area, horizon radius, Bekenstein-Hawking entropy, Hawking temperature, surface gravity, and Komar energy. Additionally, the universal relations of these black holes are studied, along with the role and effect of the Finslerian Ricci scalar (q) on Finslerian Kiselev black holes and their stability.