Document Type : Regular article

Authors

• Khaja Zuber Amin
• Nadeem ul Islam Rather
• H. Kaur
• Prince A. Ganai

Department of Physics, NIT Srinagar, Jammu and Kashmir, India

Abstract

We investigate the thermodynamic properties of four-dimensional cylindrically symmetric black strings embedded in an Anti-de Sitter (AdS) spacetime. By incorporating the Generalized Uncertainty Principle (GUP), we introduce minimal length corrections to the thermodynamic framework, effectively capturing quantum gravity effects in the near-horizon regime. We demonstrate that these GUP-induced modifications lead to logarithmic corrections in the entropy-area relation, particularly for small horizon radii, while ensuring the system remains consistent with the first law of thermodynamics. Through a detailed analysis of the Helmholtz and Gibbs free energies, we observe that the equation of state is significantly deformed by quantum corrections, driving instabilities in black strings of sufficiently small size. The study of specific heat capacity further confirms a phase transition from stable to unstable configurations, highlighting the profound impact of minimal length scales on the thermal stability of black string systems.

Keywords

• Black Strings
• Thermal Fluctuations
• Logarithmic Entropy
• Black Hole Thermodynamics

Main Subjects

• Physics