Black hole thermodynamics in the Sharma-Mittal generalized entropy formalism

Understand

Using the Sharma-Mittal entropy, we study some properties of the Schwarzschild and Schwarzschild-de Sitter black holes.

• The results are compared with those obtained by attributing the Bekenstein entropy bound to the mentioned black holes.
• Our main results show that while the Schwarzschild black hole is always stable in the micro-canonical ensemble, it can be stable in the canonical ensemble if its mass is bigger than the mass of the coldest Schwarzschild black hole.
• A semi-classical analysis has also been used to find an approximate relation between the entropy free parameters.