# GUP-Corrected van der Waals Black Holes

## TL;DR

This paper investigates how the generalized uncertainty principle (GUP) modifies the thermodynamics and phase transitions of van der Waals black holes, revealing that GUP corrections lead to physically consistent P-V criticality.

## Contribution

It introduces GUP corrections into the thermodynamics of van der Waals black holes and analyzes their effects on phase transitions and critical behavior.

## Key findings

- GUP-corrected black hole temperature differs from the original.
- GUP modifications affect the thermodynamic stability.
- P-V criticality remains physically acceptable with GUP corrections.

## Abstract

In this paper, we study the generalized uncertainty principle (GUP) effects for the van der Waals (vdW) black holes. In order to obtain the GUP-corrected solution, we consider GUP-corrected black hole temperature. We also study the thermodynamics and phase transition of GUP-corrected vdW black holes. We compare the differences between thermodynamic properties of both modified and orginal solutions. We show that P-V criticality is physically acceptable in the presence of GUP-correction.