Thermodynamics of the Schwarzschild and Reissner-Nordström black holes under higher-order generalized uncertainty principle

Abstract

In this manuscript, the modification of thermodynamic properties of Schwarzschild and Reissner-Nordström black holes in the presence of higher-order generalized uncertainty principle (GUP) have been investigated. We considered heuristic analysis versus the behavior of a particle that is absorbed by the black hole, and then, we studied the thermodynamic properties of the black holes such as temperature-mass, temperature-charge-mass, entropy, and heat capacity functions up to the first and second-order of the GUP parameter. We compared the behaviors of the GUP-corrected thermodynamic properties for both black holes with graphical methods.

15 pages, 6 figures

References in corpus (9)

• Quantum Gravity at a Lifshitz Point
• Universality of Quantum Gravity Corrections
• Discreteness of Space from the Generalized Uncertainty Principle
• GUP parameter from quantum corrections to the Newtonian potential
• Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
• A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Black holes thermodynamics to all orders in the Planck length in extra dimensions
• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession

Cited by in corpus (3)

• Photonsphere, shadow, quasinormal modes, and greybody bounds of non-rotating Simpson-Visser black hole
• Investigation of generalised uncertainty principle effects on FRW cosmology
• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes