Thermodynamics of Bardeen regular black hole with generalized uncertainty principle

• Main Authors: Merriam, Areeba, Sarwar, M. Zain
• Format: Journal Article
• Language: English
• Published: 21-10-2021
• Subjects: Physics - General Relativity and Quantum Cosmology
• DOI: 10.48550/arxiv.2110.11011

This study explores the emission of massive charged spin-1 particles from the
background of Bardeen regular spacetime by the semi-classical method used to
study the Hawking radiation spectrum. We employed the Hamilton-Jacobi method
and WKB approximation technique with the suitable form of the wave function to
solve the Proca field equation. We calculated the tunneling probability of
outgoing spin-1 particles and the corresponding thermodynamic temperature.
Furthermore, we obtained the modified thermodynamic quantities like
temperature, entropy as well as heat capacity by utilizing the quadratic form
of generalized uncertainty principle (GUP) and minimal length. In the end, we
investigated the local stability as well as phase transitions of the Bardeen
black hole in the context of GUP-modified heat capacity.