Effects of a new extended uncertainty principle on Schwarzschild and Reissner-Nordstrom black holes thermodynamics

In this paper, we employ a new form of the extended uncertainty principle to investigate the thermal properties of the Schwarzschild and Reissner-Nordstrom. After we construct the formalism, we obtain the mass-temperature function for the Schwarzschild black hole. We follow a heuristic method to derive the entropy function after we obtained the heat capacity function. Then, we derive the mass-temperature and mass-charge-temperature functions of the Reissner-Nordstrom black hole in the new formalism. After we obtain the heat capacity and entropy functions, we present a comprehensive and comparative analysis of all these functions. We find that the deformation parameter changes drastically some of the thermodynamic function characteristics.

Automated summary

This paper employs an extended uncertainty principle to investigate the thermal properties of Schwarzschild and Reissner-Nordstrom black holes, deriving temperature functions and performing a comprehensive comparative analysis. The deformation parameter significantly impacts certain thermodynamic function characteristics.