Generalized uncertainty principle and correction value to the black hole entropy

Abstract

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking entropy of the black hole. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty principle and obtain the correction term caused by the generalized uncertainty principle. Because in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is negative. This result is different from the known result at present. Our method is valid not only for single horizon spacetime but also for double horizons spacetime. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the condition that Bekenstein-Hawking area theorem is valid.

References in corpus (14)

• Cosmological Imprint of an Energy Component with General Equation of State
• Measurements of the Cosmological Parameters Omega and Lambda from the First 7 Supernovae at z >= 0.35
• Supernova Limits on the Cosmic Equation of State
• Logarithmic correction to the Bekenstein-Hawking entropy
• General Logarithmic Corrections to Black Hole Entropy
• The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem
• When conceptual worlds collide: The GUP and the BH entropy
• Severe constraints on Loop-Quantum-Gravity energy-momentum dispersion relation from black-hole area-entropy law
• Cardy-Verlinde Formula and Thermodynamics of Black Holes in de Sitter Spaces
• Universal canonical black hole entropy
• Black hole entropy without brick walls
• Entropy Corrections for Schwarzschild and Reissner-Nordström Black Holes
• Mass and charge fluctuations and black hole entropy
• Logarithmic corrections to three-dimensional black holes and de Sitter spaces

Cited by in corpus (14)

• Minimal Length Scale Scenarios for Quantum Gravity
• Generalized Uncertainty Principle: Approaches and Applications
• Black Hole Entropy and the Modified Uncertainty Principle: A heuristic analysis
• 30 years in: Quo vadis generalized uncertainty principle?
• Modified dispersion relations in extra dimensions
• Constraints on the Generalized Uncertainty Principle from Black Hole Thermodynamics
• Corrections to entropy and thermodynamics of charged black hole using generalized uncertainty principle
• Quantum Mechanical Corrections to the Schwarzschild Black Hole Metric
• Quantum theory of the Generalised Uncertainty Principle
• The minimal length: a cut-off in disguise?
• Black hole thermodynamics and modified GUP consistent with doubly special relativity
• Radiation of Charged Black Holes and Modified Dispersion Relation
• Tidal effects based on GUP-induced effective metric
• Quantized space-time and its influences on some physical problems