Remnant mass and entropy of black holes and modified uncertainty principle

Abstract

In this paper, we study the thermodynamics of black holes using a generalized uncertainty principle (GUP) with a correction term linear order in the momentum uncertainty. The mass-temperature relation and heat capacity are calculated from which critical and remnant masses are obtained. The results are exact and are found to be identical. The entropy expression gives the famous area theorem upto leading order corrections from GUP. In particular, the linear order term in GUP leads to a $\sqrt{A}$ correction to the area theorem. Finally, the area theorem can be expressed in terms of a new variable termed as reduced horizon area only when the calculation is done to the next higher order correction from GUP.

Reference added, To appear in Gen.Rel.Grav

References in corpus (4)

• Universality of Quantum Gravity Corrections
• Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound
• Quantum Gravity Corrections and Entropy at the Planck time
• Reply to "Comment on 'Universality of Quantum Gravity Corrections' "

Cited by in corpus (16)

• Black Hole Remnants and the Information Loss Paradox
• Constraints on the Generalized Uncertainty Principle from Black Hole Thermodynamics
• Constraints on rainbow gravity functions from black hole thermodynamics
• Quantum Mechanical Corrections to the Schwarzschild Black Hole Metric
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Noncommutative correction to the entropy of Schwarzschild black hole with GUP
• Violation of equivalence in an accelerating atom-mirror system in the generalized uncertainty principle framework
• Rainbow black hole thermodynamics and the generalized uncertainty principle
• Thermodynamics of Reissner-Nordström Black Holes in Higher Dimensions: Rainbow Gravity Background With General Uncertainty Principle
• Black hole thermodynamics and generalized uncertainty principle with higher order terms in momentum uncertainty
• Simple regular black hole with logarithmic entropy correction
• Hawking radiation and entropy of a BTZ black hole with minimum length
• Minimal length effects in black hole thermodynamics from tunneling formalism
• Thermodynamics of black holes and the symmetric generalized uncertainty principle
• Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
• Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric