Black hole thermodynamics and generalized uncertainty principle with higher order terms in momentum uncertainty

Understand

In this paper we study the modification of thermodynamic properties of Schwarzschild and Reissner-Nordstr\"{o}m black hole in the framework of generalized uncertainty principle with correction terms upto fourth order in momentum uncertainty.

• The mass-temperature relation and the heat capacity for these black holes have been investigated.
• These have been used to obtain the critical and remnant masses.
• The entropy expression using this generalized uncertainty principle reveals the area law upto leading order logarithmic corrections and subleading corrections of the form $\frac{1}{A^n}$.